Low-rank perturbations of normal and conjugate-normal matrices and their condensed forms under unitary similarities and congruences

DOI10.3103/S0278641909030017zbMath1228.15017OpenAlexW2045239349MaRDI QIDQ735549

D. Kharzeev

Publication date: 23 October 2009

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0278641909030017

zbMATH Keywords

iterative methodsnormal matricessystems of linear equationsunitary similarity transformationsconjugate-normal matricesgeneralized Lanczos processunitary congruence transformations

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 (4)

Unnamed Item ⋮ A condensed representation of almost normal matrices ⋮ Unnamed Item ⋮ Improved bounds for the recursion width in congruent type methods for solving systems of linear equations

Cites Work

• On a condensed form for normal matrices under finite sequences of elementary unitary similarities
• Reducing complex matrices to condensed forms by unitary congruence transformations
• On a conjugate gradient-type method for solving complex symmetric linear systems
• Once again on solving systems of linear equations whose coefficient matrices are low-rank perturbations of Hermitian matrices

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