Structured mixed and componentwise condition numbers of some structured matrices

DOI10.1016/j.cam.2006.02.026zbMath1171.15005OpenAlexW2062042267MaRDI QIDQ875363

Yi-Min Wei, Hua Xiang

Publication date: 13 April 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.02.026

zbMATH Keywords

condition numberToeplitz matrixHankel matrixKronecker productVandermonde matrixcirculant matricesmatrix inversionstructured matrixCauchy matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Hermitian, skew-Hermitian, and related matrices (15B57) Conditioning of matrices (15A12)

Related Items

Sensitivity analysis for the symplectic QR factorization, Condition numbers and backward error of a matrix polynomial equation arising in stochastic models, Random Toeplitz matrices: The condition number under high stochastic dependence, Structured condition numbers for some matrix factorizations of structured matrices, Effective condition number for weighted linear least squares problems and applications to the Trefftz method, On condition numbers of quaternion matrix inverse and quaternion linear systems with multiple right-hand sides, Mixed and componentwise condition numbers of nonsymmetric algebraic Riccati equation, On mixed and componentwise condition numbers for indefinite least squares problem, Two kinds of condition numbers for the quadratic matrix equation, Structured condition numbers of structured Tikhonov regularization problem and their estimations

Uses Software

• mctoolbox

Cites Work

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• The ubiquitous Kronecker product
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