polyMatrix: Infrastructure for Manipulation Polynomial Matrices (original) (raw)

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 [aut, cre], Ildiko Laszlo [aut], Ulas Onat Alakent [ctb]
Maintainer:	Nikolai Ryzhkov
BugReports:	https://github.com/namezys/polymatrix/issues
License:	MIT + file
URL:	https://github.com/namezys/polymatrix
NeedsCompilation:	no
Materials:	README
In views:	NumericalMathematics
CRAN checks:	polyMatrix results

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