Linearizations of matrix polynomials in Newton bases
type: Item
instance of: scholarly article
title: Linearizations of matrix polynomials in Newton bases
zbMATH Open document ID: 1398.65064
author: Vasilije Perović
author: D. Steven Mackey
published in: Linear Algebra and its Applications
publication date: 2018-08-29T00:00:00Z
full work available at URL: Newton Lins MIMS.pdf
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 47J10
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15A22
zbMATH DE Number: 6929121
zbMATH Keywords: matrix polynomial
zbMATH Keywords: Newton bases
zbMATH Keywords: strong linearization
zbMATH Keywords: Newton-Fiedler pencil
zbMATH Keywords: ansatz space
zbMATH Keywords: updating
describes a project that uses: DGGHRD
describes a project that uses: DGGHR3
describes a project that uses: NLEIGS
MaRDI profile type: Publication
OpenAlex ID: W2736434648
cites work: Linearization of matrix polynomials expressed in polynomial bases
cites work: Finite and infinite structures of rational matrices: a local approach
cites work: A new family of companion forms of polynomial matrices
cites work: Recovery of Eigenvectors and Minimal Bases of Matrix Polynomials from Generalized Fiedler Linearizations
cites work: Q4095322
cites work: Matrix Newton interpolation and progressive 3D imaging: PC-based computation
cites work: Q3559046
cites work: Fiedler Companion Linearizations and the Recovery of Minimal Indices
cites work: Fiedler companion linearizations for rectangular matrix polynomials
cites work: Spectral equivalence of matrix polynomials and the index sum theorem
cites work: Condition numbers for inversion of Fiedler companion matrices
cites work: Block Kronecker linearizations of matrix polynomials and their backward errors
cites work: Chebyshev interpolation for nonlinear eigenvalue problems
cites work: On vector spaces of linearizations for matrix polynomials in orthogonal bases
cites work: A note on companion matrices
cites work: Q4223568
cites work: NLEIGS: A Class of Fully Rational Krylov Methods for Nonlinear Eigenvalue Problems
cites work: Backward Error of Polynomial Eigenproblems Solved by Linearization
cites work: Symmetric Linearizations for Matrix Polynomials
cites work: Algorithms for Hessenberg-Triangular Reduction of Fiedler Linearization of Matrix Polynomials
cites work: Linearization of regular matrix polynomials
cites work: Structured Factorizations in Scalar Product Spaces
cites work: Jordan structures of alternating matrix polynomials
cites work: Möbius transformations of matrix polynomials
cites work: Linearizations of matrix polynomials in Bernstein bases
cites work: Vector Spaces of Linearizations for Matrix Polynomials: A Bivariate Polynomial Approach
cites work: Fiedler-comrade and Fiedler-Chebyshev pencils
cites work: A Framework for Structured Linearizations of Matrix Polynomials in Various Bases
cites work: A Rational Krylov Method Based on Hermite Interpolation for Nonlinear Eigenvalue Problems
cites work: Linearization of Lagrange and Hermite interpolating matrix polynomials
cites work: Robustness and perturbations of minimal bases
cites work: A permuted factors approach for the linearization of polynomial matrices
Wikidata QID: Q129614837
DOI: 10.1016/J.LAA.2018.06.030
description: scientific article; zbMATH DE number 6929121