polyMatrix: Infrastructure for Manipulation Polynomial Matrices

Implementation of class "polyMatrix" for storing a matrix of polynomials and implements basic matrix operations; including a determinant and characteristic polynomial. It is based on the package 'polynom' and uses a lot of its methods to implement matrix operations. This package includes 3 methods of triangularization of polynomial matrices: Extended Euclidean algorithm which is most classical but numerically unstable; Sylvester algorithm based on LQ decomposition; Interpolation algorithm is based on LQ decomposition and Newton interpolation. Both methods are described in D. Henrion & M. Sebek, Reliable numerical methods for polynomial matrix triangularization, IEEE Transactions on Automatic Control (Volume 44, Issue 3, Mar 1999, Pages 497-508) <doi:10.1109/9.751344> and in Salah Labhalla, Henri Lombardi & Roger Marlin, Algorithmes de calcule de la reduction de Hermite d'une matrice a coefficients polynomeaux, Theoretical Computer Science (Volume 161, Issue 1-2, July 1996, Pages 69-92) <doi:10.1016/0304-3975(95)00090-9>.

Version: 0.9.16
Depends: R (≥ 4.0)
Imports: methods, polynom, Matrix
Suggests: testthat, withr
Published: 2021-07-18
DOI: 10.32614/CRAN.package.polyMatrix
Author: Tamas Prohle [aut], Peter Prohle [aut], Nikolai Ryzhkov ORCID iD [aut, cre], Ildiko Laszlo ORCID iD [aut], Ulas Onat Alakent [ctb]
Maintainer: Nikolai Ryzhkov <namezys at gmail.com>
BugReports: https://github.com/namezys/polymatrix/issues
License: MIT + file LICENSE
URL: https://github.com/namezys/polymatrix
NeedsCompilation: no
Materials: README
In views: NumericalMathematics
CRAN checks: polyMatrix results


Reference manual: polyMatrix.pdf


Package source: polyMatrix_0.9.16.tar.gz
Windows binaries: r-devel: polyMatrix_0.9.16.zip, r-release: polyMatrix_0.9.16.zip, r-oldrel: polyMatrix_0.9.16.zip
macOS binaries: r-release (arm64): polyMatrix_0.9.16.tgz, r-oldrel (arm64): polyMatrix_0.9.16.tgz, r-release (x86_64): polyMatrix_0.9.16.tgz, r-oldrel (x86_64): polyMatrix_0.9.16.tgz
Old sources: polyMatrix archive


Please use the canonical form https://CRAN.R-project.org/package=polyMatrix to link to this page.