LU factorization for matrices in quasiseparable form via orthogonal transformations

DOI10.1016/j.laa.2016.01.017zbMath1336.65026OpenAlexW2268884853MaRDI QIDQ281954

Patrick Dewilde, Iulian Haimovici, Yu.S.Eidel'man

Publication date: 11 May 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.01.017

zbMATH Keywords

fast algorithmsLU factorizationquasiseparable representationsstructured matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09) Direct numerical methods for linear systems and matrix inversion (65F05)

Cites Work

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• On the \(LU\) factorization of infinite systems of semi-separable equations
• Canonical factorization of rational matrix functions. A note on a paper by P. Dewilde
• Multiple LU factorizations of a singular matrix
• Efficient solution of linear systems of equations with recursive structure
• Direct approach to the band completion problem
• Separable type representations of matrices and fast algorithms. Volume 1. Basics. Completion problems. Multiplication and inversion algorithms
• Fast algorithms for hierarchically semiseparable matrices
• A New Class of Parallel Algorithms for Solving Systems of Linear Equations
• Some Fast Algorithms for Sequentially Semiseparable Representations

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