On the sensitivity of the SR decomposition

DOI10.1016/S0024-3795(98)10077-0zbMath0937.15006MaRDI QIDQ1809104

Xiao-Wen Chang

Publication date: 13 June 2000

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

zbMATH Keywords

sensitivitySR decompositioncondition estimatenormwise perturbation bounds

Mathematics Subject Classification ID

Factorization of matrices (15A23) Conditioning of matrices (15A12)

Related Items (8)

Perturbation bounds for Mostow's decomposition and the bipolar decomposition ⋮ Sensitivity analysis for the symplectic QR factorization ⋮ Perturbation analysis for the symplectic QR factorization ⋮ Sensitivity analysis for the SR decomposition ⋮ Nearly optimal scaling in the SR decomposition ⋮ Perturbation analysis for the hyperbolic QR factorization ⋮ Refined rigorous perturbation bounds for the SR decomposition ⋮ Perturbation analysis for the QX factorization for centrosymmetric matrices

Uses Software

• testmatrix

Cites Work

• Self-similar flows
• An analysis of the HR algorithm for computing the eigenvalues of a matrix
• Matrix factorizations and their perturbations
• Two connections between the \(SR\) and \(HR\) eigenvalue algorithms
• Matrix factorizations for symplectic QR-like methods
• Condition numbers and equilibration of matrices
• Rigorous Perturbation Bounds of Some Matrix Factorizations
• Perturbation Analyses for the QR Factorization
• A symplectic QR like algorithm for the solution of the real algebraic Riccati equation

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