On the conditioning of factors in the SR decomposition

DOI10.1016/j.laa.2016.04.038zbMath1338.65111OpenAlexW2377852447MaRDI QIDQ290671

Miroslav Rozložnik, Heike Fassbender

Publication date: 3 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.04.038

zbMATH Keywords

condition numberorthogonalizationsymplectic matricesskew-symmetric bilinear formsSR decomposition

Mathematics Subject Classification ID

Numerical computation of matrix norms, conditioning, scaling (65F35) Direct numerical methods for linear systems and matrix inversion (65F05) Orthogonalization in numerical linear algebra (65F25)

Related Items (3)

Structured condition numbers for some matrix factorizations of structured matrices ⋮ Optimization on the symplectic Stiefel manifold: SR decomposition-based retraction and applications ⋮ Nearly optimal scaling in the SR decomposition

Cites Work

• A Hamiltonian Krylov-Schur-type method based on the symplectic Lanczos process
• Numerical linear algorithms and group theory
• The shift-inverted \(J\)-Lanczos algorithm for the numerical solutions of large sparse algebraic Riccati equations
• An SVD-like matrix decomposition and its applications
• Matrix factorizations for symplectic QR-like methods
• On theoretical and numerical aspects of symplectic Gram-Schmidt-like algorithms

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