BertiniLab

Toolbox for solving polynomial systems
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Updated 14 Aug 2020

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BertiniLab is a MATLAB interface for Bertini, a general-purpose solver for systems of polynomial equations. Bertini can find isolated solutions and positive-dimensional solutions using homotopy continuation. The systems can be underdetermined, exactly determined or overdetermined. Bertini uses adaptive multiprecision and provides endgames to accurately compute singular roots. It also has efficient parameter continuation methods for families of systems that are related by one or more parameters.
BertiniLab is a MATLAB interface that supports all features of Bertini version 1.4. The user can define a system of equations in several ways. They can write the equations as strings. They can create them as a Symbolic Toolbox array; if the user does not have this toolbox, a class POLYSYM is provided that emulates some of its features. The equations can also be generated using a MATLAB function, and matrix algebra is supported. The interface makes it easy to retrieve solutions, and BertiniLab can be tailored to specific applications by subclassing it.

Cite As

Andrew Newell (2024). BertiniLab (https://www.mathworks.com/matlabcentral/fileexchange/48536-bertinilab), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2015a
Compatible with R2015a and later releases
Platform Compatibility
Windows macOS Linux
Categories
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BertiniLab1.5/BertiniLab

BertiniLab1.5/BertiniLab/@BertiniLab

BertiniLab1.5/BertiniLab/@BertiniLab/private

BertiniLab1.5/BertiniLab/@polysym

BertiniLab1.5/BertiniLab/@polysym/private

BertiniLab1.5/BertiniLab/doc

BertiniLab1.5/BertiniLab/examples

BertiniLab1.5/BertiniLab/examples/codeUsedInManuscript

BertiniLab1.5/BertiniLab/shortcuts

BertiniLab1.5/BertiniLab/tests

BertiniLab1.5/BertiniLab/tests/R2012 and earlier

BertiniLab1.5/BertiniLab/tests/R2012 and earlier/testBertiniLab

BertiniLab1.5/BertiniLab/tests/R2012 and earlier/testPolysym

BertiniLab1.5/BertiniLab/tests/R2012 and earlier/testPolysym/private

BertiniLab1.5/BertiniLab/tests/testBertiniLab

BertiniLab1.5/BertiniLab/tests/testPolysym

BertiniLab1.5/BertiniLab/tests/testPolysym/private

BertiniLab1.5/BertiniLab/utilities

BertiniLab1.5/BertiniLab/doc

BertiniLab1.5/BertiniLab/examples

BertiniLab1.5/BertiniLab/examples/codeUsedInManuscript

Version Published Release Notes
1.5.0.0

Fixed bugs in read methods and mat2struct.

Added more methods to find and sample an irreducible decomposition, test membership, dehomogenize coordinates and sharpen an isolated point solution. See the Release Notes in the documentation.

1.3.0.0

Removed unnecessary entries from Required Products.

1.2.0.0

It is not a toolbox after all.

1.1.0.0

I mis-interpreted the version requirement.

1.0.0.0