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NumericSolutions -- solving systems of polynomial equalities

Description

NumericSolutions is a package for solving systems of polynomial equalities. It is used to compute the points in the affine variety V(I) of a zero dimensional ideal I. Note that this package can be used only to compute the solution to a system of polynomial equalities having a finite number of solutions (i.e., it can be used only if the ideal I is zero dimensional).

Authors

Version

This documentation describes version 1.0 of NumericSolutions, released Apr 3, 2017.

Citation

If you have used this package in your research, please cite it as follows:

@misc{NumericSolutionsSource,
  title = {{NumericSolutions: solving systems of polynomial equalities. Version~1.0}},
  author = {Laura Menini and Corrado Possieri and Antonio Tornambe},
  howpublished = {A \emph{Macaulay2} package available at
    \url{https://github.com/Macaulay2/M2/tree/stable/M2/Macaulay2/packages}}
}

Exports

  • Functions and commands
  • Methods
    • compMatr(Ideal,RingElement) -- see compMatr -- companion matrix
    • jordanForm(Matrix) -- see jordanForm -- Jordan canonical form
    • solveSystem(Ideal) -- see solveSystem -- solutions to a system of equalities
    • traceForm(Ideal) -- see traceForm -- trace matrix of an ideal
  • Symbols
    • Tolerance (missing documentation)

For the programmer

The object NumericSolutions is a package, defined in NumericSolutions.m2.

The source of this document is in NumericSolutions.m2:726:0.