On matrices that admit unitary reduction to band form

DOI10.1007/BF02313033zbMath0940.15012OpenAlexW1970878030MaRDI QIDQ1966275

Khakim D. Ikramov, Ludwig Elsner

Publication date: 27 March 2000

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02313033

zbMATH Keywords

Hermitian matrixnormal matrixunitary matrixlow rank perturbationKrylov sequenceunitary reductionLanczos procedureband form

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Iterative numerical methods for linear systems (65F10) Canonical forms, reductions, classification (15A21)

Related Items (3)

Block tridiagonal reduction of perturbed normal and rank structured matrices ⋮ Improved bounds for the recursion width in congruent type methods for solving systems of linear equations ⋮ Aspects of nonnormality for iterative methods

Cites Work

• On a condensed form for normal matrices under finite sequences of elementary unitary similarities
• Pairs of matrices with quadratic minimal polynomials
• On tridiagonalization of matrices
• Tridiagonalization of complex matrices and a problem of Longstaff
• Schur parameter pencils for the solution of the unitary eigenproblem
• Changing the spectrum of an operator by perturbation
• The canonical Schur form of a unitarily quasidiagonalizable matrix
• Ein Satz über Matrixeigenwerte
• Band-diagonal operators
• Matrices for whichA^∗andA^†commute
• A characterization of normal matrices

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