Perturbation analysis for the symplectic QR factorization

DOI10.1080/03081087.2013.845775zbMath1312.15016OpenAlexW2018179287MaRDI QIDQ2938319

Hanyu Li, Hua Shao, Hu Yang

Publication date: 14 January 2015

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

Full work available at URL: https://doi.org/10.1080/03081087.2013.845775

zbMATH Keywords

rigorous perturbation boundsymplectic QR factorizationcomponentwise perturbationnormwise perturbationfirst-order perturbation bound

Mathematics Subject Classification ID

Factorization of matrices (15A23) Miscellaneous inequalities involving matrices (15A45)

Related Items (2)

Sensitivity analysis for the symplectic QR factorization ⋮ Perturbation analysis for the QX factorization for centrosymmetric matrices

Cites Work

• Perturbation analysis for the hyperbolic QR factorization
• Self-similar flows
• Matrix factorizations and their perturbations
• Block algorithms for orthogonal symplectic factorizations
• On the sensitivity of the SR decomposition
• Matrix factorizations for symplectic QR-like methods
• Rounding error and perturbation bounds for the symplectic QR factorization
• Symplectic Householder transformations for a QR-like decomposition, a geometric and algebraic approaches
• On theoretical and numerical aspects of symplectic Gram-Schmidt-like algorithms
• Perturbation Analysis of the QR factor R in the context of LLL lattice basis reduction
• Rigorous Perturbation Bounds of Some Matrix Factorizations
• A Componentwise Perturbation Analysis of the $QR$ Decomposition
• Perturbation Analyses for the QR Factorization
• A symplectic QR like algorithm for the solution of the real algebraic Riccati equation
• Accuracy and Stability of Numerical Algorithms

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