Multi-Dimensional Bisection Method - Implicit functions plot

Multi-Dimensional Bisection Method (MDBM) finds all the solutions/roots of a system of implicit equations efficiently.
388 Downloads
Updated 12 Feb 2026

Cite As

Bachrathy, Daniel, and Gabor Stepan. “Bisection Method in Higher Dimensions and the Efficiency Number.” Periodica Polytechnica Mechanical Engineering, vol. 56, no. 2, Periodica Polytechnica Budapest University of Technology and Economics, 2012, p. 81, doi:10.3311/pp.me.2012-2.01.

MATLAB Release Compatibility
Created with R2018b
Compatible with R2016b and later releases
Platform Compatibility
Windows macOS Linux

Versions that use the GitHub default branch cannot be downloaded

Version Published Release Notes
1.2.5

See release notes for this release on GitHub: https://github.com/bachrathyd/MDBM-Matlab/releases/tag/1.2.5

1.2.2

Doc.update.

1.2.1

Massive documentation improvement.
Presentation of hidden features e.g.:
- swept "surface" calculation
- higher order convergence
- pure continuation
- specialised axis refinement and extensions

1.1.1

some extra comments

1.1

More clever neighbour chacking which use almost halve the number of function evaluations!!!
New examples, updated plot (default: smoother interpolated solutions).

1.0.7

Added Comments on the examples, and the compatible Matlab verisons.

1.0.6

Now the display can be switched off.
Easy plotting all the computed points for 1,2,3, parameters with plotthecomputedpoints(mdbm_sol) function

1.0.5

-

1.0.4

-

1.0.3

Rename

1.0.2

Typo fix

1.0.1

small typo fix, just after the first upload

1.0.0

To view or report issues in this GitHub add-on, visit the GitHub Repository.
To view or report issues in this GitHub add-on, visit the GitHub Repository.