MULTIPLICITYMatlab software for computing multiplicity structure of nonlinear systems
- Purpose: Multiplicity structure of nonlinear systems
- Approach: Closedness subspace method.
- Author: Wenrui Hao, Andrew Sommese, Zhonggang Zeng
- Introduction: MULTIPLICITY uses closedness subspace method to calculate the multiplicity structure of nonlinear systems. The package implements algorithms based on equation-by-equation to compute the closedness subspace. Examples are presented in An algorithm and
software for computing multiplicity structures at zeros of nonlinear
- Cost: MULTIPLICITY is distributed free of charge on an ``as is'' basis. Its intended usage is educational, so that the user may gain a greater understanding of multiplicity structure of nonlinear systems. Any other use is strictly the user's responsibility.
- Citation and Attribution:
In publications based on results obtained using MULTIPLICITY or its successors, the use of MULTIPLICITY should be acknowledged and the paper by (see above) should be cited. Any distribution of derived codes that extend or modify MULTIPLICITY should acknowledge the original source and authorship.
- Feedback:If you publish a result using MULTIPLICITY, we would like to hear about it. You may write to one of us.
As a suite of m-files, MULTIPLICITY becomes functional by simply adding
the folder containing the routines to Matlab's search path.
that you have copied MULTIPLICITY onto your machine with the full
path name of c:\mypath\Multiplicity, where "mypath" could
be any path in the file structure of your machine. There are three
basic options for adding MULTIPLICITY to the Matlab path:
Any one of these options is sufficient. See the Matlab help
facility to obtain more detailed instructions on modifying the
- In Matlab (v.6.5 and above), use "File -> Set Path" on
the Matlab menu bar to launch a dialog box
for setting the path and use it to add "c:\mypath\Multiplicity"
to the top of the search path. The change becomes
effective immediately in the current session,
while the "Save" button in the dialog box records it for future
- At the Matlab prompt (">>"), use the command
">> addpath c:\mypath\Multiplicity".
MULTIPLICITY will then be available for the current session only.