Rounding error and perturbation bounds for the symplectic QR factorization

DOI10.1016/S0024-3795(02)00263-XzbMath1087.65036MaRDI QIDQ1855442

Sanja Singer, Saša Singer

Publication date: 5 February 2003

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

zbMATH Keywords

eigenvaluesperturbation boundsCholesky-like factorizationsymplectic QR factorizationJacobi-like algorithmRounding error boundsskew-symmetric eigenproblem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items

Sensitivity analysis for the symplectic QR factorization, Perturbation analysis for the symplectic QR factorization, Orthosymmetric block reflectors, Nearly optimal scaling in the SR decomposition, Skew-Symmetric Differential qd Algorithm, Refined rigorous perturbation bounds for the SR decomposition

Uses Software

• mctoolbox

Cites Work

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• Cholesky-like factorizations of skew-symmetric matrices
• Matrix factorizations for symplectic QR-like methods
• Rounding-error and perturbation bounds for the indefinite QR factorization
• A Note on the Stable Decomposition of Skew-Symmetric Matrices