Perturbation bounds for the periodic Schur decomposition

DOI10.1007/s10543-009-0245-9zbMath1188.15009OpenAlexW2094564814MaRDI QIDQ2379353

Xiao Shan Chen

Publication date: 19 March 2010

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-009-0245-9

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Sensitivity (robustness) (93B35) Canonical forms, reductions, classification (15A21)

Related Items (6)

Componentwise perturbation analysis for the generalized Schur decomposition ⋮ On estimating the separation associated with the periodic continuous Sylvester equation ⋮ Perturbation analysis for the Takagi vector matrix ⋮ On estimating the separation of two periodic matrix sequences ⋮ On condition numbers of the spectral projections associated with periodic eigenproblems ⋮ Backward errors of periodic invariant subspaces for regular periodic matrix pairs

Cites Work

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• The difference periodic Ricati equation for the periodic prediction problem
• Nonlocal Perturbation Analysis of the Schur System of a Matrix
• Numerical solution of the discrete-time periodic Riccati equation
• Perturbation Bounds for the Generalized Schur Decomposition
• Direct Eigenvalue Reordering in a Product of Matrices in Periodic Schur Form
• Perturbation analysis for the eigenproblem of periodic matrix pairs

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