Perturbation analysis of system Hessenberg and Hessenberg-triangular forms

DOI10.1016/0024-3795(95)00107-7zbMath0856.93063OpenAlexW2027923267MaRDI QIDQ1923179

Ji-guang Sun

Publication date: 27 February 1997

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

Full work available at URL: https://doi.org/10.1016/0024-3795(95)00107-7

zbMATH Keywords

controllablelinearcondition numbersQR factorizationperturbation boundsHessenberg form

Mathematics Subject Classification ID

Perturbations in control/observation systems (93C73) Canonical structure (93B10) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)

Related Items (2)

THE METHOD OF SPLITTING OPERATORS AND LYAPUNOV MAJORANTS IN PERTURBATION LINEAR ALGEBRA AND CONTROL ⋮ Perturbation analysis of orthogonal canonical forms

Cites Work

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• Hessenberg and Hessenberg/triangular forms in linear system thcory†
• The generalized eigenstructure problem in linear system theory
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• Perturbation Bounds for the $QR$ Factorization of a Matrix
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• Variation of the Unitary Part of a Matrix
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