Vector Spaces of Generalized Linearizations for Rectangular Matrix Polynomials

DOI10.13001/1081-3810.3845zbMath1414.15017arXiv1808.00517OpenAlexW2963080977WikidataQ128029312 ScholiaQ128029312MaRDI QIDQ5376737

Shreemayee Bora, Biswajit Das

Publication date: 20 May 2019

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.00517

zbMATH Keywords

linearizationminimal indicesmatrix polynomialsminimal basesbackward error analysispolynomial eigenvalue problem

Mathematics Subject Classification ID

Factorization of matrices (15A23) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Linearizations (93B18) Eigenvalues, singular values, and eigenvectors (15A18) Numerical computation of matrix norms, conditioning, scaling (65F35) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Matrices over function rings in one or more variables (15A54) Vector spaces, linear dependence, rank, lineability (15A03) Matrix pencils (15A22)

Related Items (1)

The \(\mathbb{DL}(P)\) vector space of pencils for singular matrix polynomials

Cites Work

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