PHClab: A MATLAB/Octave Interface to PHCpack. PHCpack is a software package for Polynomial Homotopy Continuation, to numerically solve systems of polynomial equations. The executable program “phc” produced by PHCpack has several options (the most popular one “-b” offers a blackbox solver) and is menu driven. PHClab is a collection of scripts which call phc from within a MATLAB or Octave session. It provides an interface to the blackbox solver for finding isolated solutions. We executed the PHClab functions on our cluster computer using the MPI ToolBox (MPITB) for Octave to solve a list of polynomial systems. PHClab also interfaces to the numerical irreducible decomposition, giving access to the tools to represent, factor, and intersect positive dimensional solution sets.

References in zbMATH (referenced in 12 articles , 1 standard article )

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  1. Batenkov, Dmitry: Accurate solution of near-colliding Prony systems via decimation and homotopy continuation (2017)
  2. Boralevi, Ada; van Doornmalen, Jasper; Draisma, Jan; Hochstenbach, Michiel E.; Plestenjak, Bor: Uniform determinantal representations (2017)
  3. Plestenjak, Bor: Minimal determinantal representations of bivariate polynomials (2017)
  4. Bates, Daniel J.; Newell, Andrew J.; Niemerg, Matthew: BertiniLab: a MATLAB interface for solving systems of polynomial equations (2016)
  5. Plestenjak, Bor; Hochstenbach, Michiel E.: Roots of bivariate polynomial systems via determinantal representations (2016)
  6. Hochstenbach, Michiel E.; Muhič, Andrej; Plestenjak, Bor: Jacobi-Davidson methods for polynomial two-parameter eigenvalue problems (2015)
  7. Bleylevens, Ivo W.M.; Hochstenbach, Michiel E.; Peeters, Ralf L.M.: Polynomial optimization and a Jacobi-Davidson type method for commuting matrices (2013)
  8. Amisano, Gianni; Tristani, Oreste: Exact likelihood computation for nonlinear DSGE models with heteroskedastic innovations (2011)
  9. Guan, Yun; Verschelde, Jan: Sampling algebraic sets in local intrinsic coordinates (2011)
  10. Zeng, Zhonggang: Regularization and matrix computation in numerical polynomial algebra (2009)
  11. Guan, Yun; Verschelde, Jan: PHClab: a MATLAB/Octave interface to PHCpack (2008)
  12. Stillman, Michael E. (ed.); Takayama, Nobuki (ed.); Verschelde, Jan (ed.): Software for algebraic geometry. Papers of a workshop, Minneapolis, MN, USA, October 23--27, 2006 (2008)