Upper triangularization of matrices by permutations and lower triangular similarity transformations

DOI10.1016/0024-3795(83)90139-8zbMath0655.65046OpenAlexW2085033065MaRDI QIDQ1109521

Harm Bart

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0024-3795(83)90139-8

zbMATH Keywords

similaritiesrational matrix functionslower triangular similarity transformationstriangularization of matrices

Mathematics Subject Classification ID

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

Related Items

Spectral criteria for complementary triangular forms, Similarity invariants for pairs of upper triangular Toeplitz matrices

Cites Work

• Inertia characteristics of self-adjoint matrix polynomials
• Transfer functions and operator theory
• Complementary triangular forms of pairs of matrices, realizations with prescribed main matrices, and complete factorization of rational matrix functions
• Upper triangularization of matrices by lower triangular similarities
• Minimal factorization of matrix and operator functions
• Factorizations of Transfer Functions
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