Why the lsqnonlin solver not able to solve the problem when used with MultiStart?

1 view (last 30 days)
Siva Rama Krishna Ayaluru
Moved: Torsten on 9 Jun 2023
Ran in:
I want to solve two non-linear equations using lsqnonlin solver. For this I created a problem using CreateOptimProblem and solving it using MultiStart since my optimization problem is not convex rather having multiple local minima. I used the below code:
%The code below solves two equations. The initial part of the code generates 10000 values of random data U,V,x_0,y_0 which are seed values for fsolve
clc
clear all
close all
c=4;
d=10^-3;
alpha=1;
n=10;
N1=35;
%Generating 35 values of Gaussian distributed random delay in the range
%5*10^-3 and 6*10^-3
a=5*10^-3;
b=6*10^-3;
X = (b-a).*randn(1,35) + a;
X1 = X;
%Generating T_1_i_A
T_1_i_A=0.0001:0.0001:0.0035;
%Generating T_2_i_B and T_2_i_P from T_1_i_A,d,X
T_2_i_B=zeros(N1);
for j=1:N1
T_2_i_B(j)=T_1_i_A(j)+10*10^-3+2.02*(T_1_i_A(j)-T_1_i_A(1))+15*10^-4+X(j);
end
T_2_i_P=zeros(N1);
for j=1:N1
T_2_i_P(j)=T_1_i_A(j)+20*10^-3+1.01*(T_1_i_A(j)-T_1_i_A(1))+5*10^-4+X1(j);
end
%finding U and V
U=T_2_i_P-T_2_i_B;
V=T_1_i_A-T_1_i_A(1);
fun = @root2d;
%Generating 10000 random values of pre-defined clock offset in the range
%5*10^-6 and 30*10^-6
a=-10*10^-3;
b=10*10^-3;
%a=5*10^-6;
%b=30*10^-6;
x_0 = (b-a).*rand(1,n) + a;
%Generating 10000 random values of pre-defined clock skew in the range
%1.01 and 1.20
a1=0.99;
b1=1.01;
y_0=(b1-a1).*rand(1,n)+a1;
x0=zeros(2,n);
for i=1:n
x0(:,i)=[x_0(i); y_0(i)];
end
maxN=35;
x = zeros(size(x0,1), n, maxN);
for N=5:maxN
for i=1:n
problem=createOptimProblem('lsqnonlin','objective',@(x) root2d(x, U(N),V(N),N,c,d,alpha), 'x0', x0(:,i),'lb', [-10*10^-3;0.99], 'ub', [10*10^-3;1.01],'options',optimoptions(@lsqnonlin,'Algorithm','trust-region-reflective'));
ms = MultiStart('StartPointsToRun','bounds');
x(:,i,N) = run(ms,problem,20);
end
mse_theta_offset_hat_final(N)=mse(x(1,:,N),x_0);
mse_theta_skew_hat_final(N)=mse(x(2,:,N),y_0);
end
MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag. MultiStart completed the runs from all start points. All 20 local solver runs converged with a positive local solver exit flag.
%Plots
k=5:N1;
subplot(2,1,1),plot(k,mse_theta_offset_hat_final(5:N1),'r+-')
title('clock offset')
xlabel('No. of Observations')
ylabel('MSE')
grid on
subplot(2,1,2),plot(k,mse_theta_skew_hat_final(5:N1),'-*')
title('clock skew')
xlabel('No. of Observations')
ylabel('MSE')
grid on
function f = root2d(x, U, V, N,c,d,alpha)
f(1)=(1.5./(U-x(1)-x(2)*V+d)-(c/2)./(U-x(1)-x(2)*V+d).^2)*N+alpha*sum(1:N);
f(2)=((1.5*V)./(U-x(1)-x(2)*V+d)-(c/2)*V./(U-x(1)-x(2)*V+d).^2+alpha*V)*N;
end

Sign in to answer this question.

Answers (1)

Torsten
Torsten on 9 Jun 2023
Moved: Torsten on 9 Jun 2023
If you substitute
y = 1/(U-x(1)-x(2)*V+d)
you will see that you have two equations in one unknown, namely y.
So most probably, you won't get a solution that satisfies both equations exactly.
And if you aim at the least-squares solution y*, there will most probably be infinitly many combinations for x(1) and x(2) such that
y* = 1/(U-x(1)-x(2)*V+d)
In other words: Your code will produce garbage.

Categories

Find more on Global or Multiple Starting Point Search in Help Center and File Exchange

Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!