Intrinsic products and factorizations of matrices

DOI10.1016/j.laa.2007.09.026zbMath1135.15009OpenAlexW2017508104WikidataQ114152433 ScholiaQ114152433MaRDI QIDQ2463606

Miroslav Fiedler

Publication date: 14 December 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.09.026

zbMATH Keywords

companion matrixsubdiagonal rankzig-zag shapesign-nonsingular matrixintrinsic factorization

Mathematics Subject Classification ID

Factorization of matrices (15A23) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57)

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Some inheritance properties for complementary basic matrices, The continuing influence of Fiedler's work on companion matrices, Polynomial zigzag matrices, dual minimal bases, and the realization of completely singular polynomials, Dominant matrices and max algebra, Companion factorization in the general linear group \(\mathrm{GL}(n,\mathbb C)\) and applications, A note on permanents and generalized complementary basic matrices, A note on strongly dense matrices, Some graph theoretic properties of generalized complementary basic matrices, Combinatorial aspects of generalized complementary basic matrices, G-matrices, A permuted factors approach for the linearization of polynomial matrices, Factorizable matrices

Cites Work

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• Structure ranks of matrices
• A note on companion matrices
• Complementary basic matrices
• A note on sign-nonsingular matrices