Sensitivity analysis for the SR decomposition

DOI10.1080/03081087.2013.860595zbMath1312.15017OpenAlexW1980728582MaRDI QIDQ2938330

Ze-Jia Xie, Wen Li

Publication date: 14 January 2015

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2013.860595

zbMATH Keywords

sensitivitycondition numbernumerical experimentrigorous perturbation bound\(SR\) decompositionfirst-order perturbation bound

Mathematics Subject Classification ID

Factorization of matrices (15A23) Miscellaneous inequalities involving matrices (15A45) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)

Related Items (5)

Perturbation bounds for Mostow's decomposition and the bipolar decomposition ⋮ Sensitivity analysis for the symplectic QR factorization ⋮ Structured condition numbers for some matrix factorizations of structured matrices ⋮ Improved rigorous perturbation bounds for the LU and QR factorizations ⋮ Refined rigorous perturbation bounds for the SR decomposition

Cites Work

• Unnamed Item
• Multiplicative perturbation analysis for QR factorizations
• Block Kronecker products and the vecb operator
• An analysis of the HR algorithm for computing the eigenvalues of a matrix
• Numerical linear algorithms and group theory
• Matrix factorizations and their perturbations
• On the sensitivity of the SR decomposition
• Matrix factorizations for symplectic QR-like methods
• Rigorous Perturbation Bounds of Some Matrix Factorizations
• Block Kronecker Products and Block Norm Matrices in Large-Scale Systems Analysis
• Perturbation Analyses for the QR Factorization

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