Sparse matrix in OLS , sparse matrix transpose and multiply

I need to estimate B in this equation that u = error Y = B * X + u

the estimator of B = (inv (X '* X)) * (X' * Y)

X and Y are sparse matrix, how can I do it?

I use sparseinv instead of inv but I dint know how transpose it and maltiple them, Is there any one to know it?

Answer 1

[Star Strider]

See if the lsqr (link) function will do what you want.

Answer 2

[Bruno Luong]

B = Y/X

[Nooshin Mahmoodi]

I can not use this because the matrix dimensions are not the same,

y is 15722*1 sparse double

and

X is 15772 *6 sparse double

[Bruno Luong]

B*X 

must have 6 columns, and there is not B that can makes it becomes 1 column.

Unless if you ask to solve B for y = X*B then in this case

B = X\Y

Matrix multiplication must be expressed with correct order.