Multi-Dimensional Bisection Method - Implicit functions plot

版本 1.1.1 (4.4 MB) 作者: Daniel Bachrathy
Multi-Dimensional Bisection Method (MDBM) finds all the solutions/roots of a system of implicit equations efficiently.
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372.0 次下载
更新时间 2021/3/26
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Multi-Dimensional Bisection Method (MDBM) finds all the solutions/roots of a system of implicit equations efficiently, where the number of unknowns is larger than the number of equations.

This function is an alternative to the contourplot or the isosurface in higher dimensions (higher number of parameters). The main advantage: it can handle multiple functions. (contour plot or the isosurface can handle scalar values only)
In addition, MDBM uses much less function evaluation than the brute-force method, so for complex tasks, it is much faster and uses far less memory.

Extensive examples can be found in the "examples" folder
Run the "runme_run_all_the_exmaples.m" file here.
The "run_test_...." files should be tested. Don't forget to add the "code_folder" to the path, in which the main code files can be found.
Unfortunately, the documentation was written for an old version, so please, read the comments in these example files to understand the special function in the method and learn the 'best practice'. In this way, you can finetune it for your special needs.
Be sure to check the possible options defined by the mdbmoptions=mdbmset(). (Note, if an option is not commented, then it is just an internal variable.)

Note 1: As a consequence of the change in the "vectorized +" function, The MDBM is compatible with the newer Matlab versions only.
Note 2: I would protect my work, thus I use '*.p' files (some of you may dislike it, sorry).
In my opinion, the code is far too long and far too complex to understand. I spent more than 10 years on it, and sometimes it is hard even for me to understand the code (I am bad at commenting, I am a mechanical engineer and not a professional programmer :-) ).
But those files, which might be needed to modify for special needs are '*.m' file. And If you have any question or problems you can easily find me!

引用格式

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.

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code_folder

examples

无法下载基于 GitHub 默认分支的版本

版本 已发布 发行说明
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

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要查看或报告此来自 GitHub 的附加功能中的问题，请访问其 GitHub 仓库。