G-matrices

DOI10.1016/j.laa.2011.08.001zbMath1237.15024OpenAlexW4205273006MaRDI QIDQ649572

Miroslav Fiedler, Frank J. Hall

Publication date: 2 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.08.001

zbMATH Keywords

sign pattern matrixorthogonal matricesCauchy matrixG-matrixpotentially orthogonal sign pattern

Mathematics Subject Classification ID

Factorization of matrices (15A23) Toeplitz, Cauchy, and related matrices (15B05) Orthogonal matrices (15B10) Sign pattern matrices (15B35)

Related Items (16)

DECOMPOSITION OF UNITARY MATRICES AND QUANTUM GATES ⋮ A note on some classes of G-matrices ⋮ Sign patterns of \(J\)-orthogonal matrices ⋮ More on G-matrices ⋮ A note on semi-orthogonal (G-matrix) and semi-involutory MDS matrices ⋮ Orthogonal Cauchy-like matrices ⋮ Combined matrices of almost strictly sign regular matrices ⋮ A note on permanents and generalized complementary basic matrices ⋮ Some graph theoretic properties of generalized complementary basic matrices ⋮ Combinatorial aspects of generalized complementary basic matrices ⋮ MAX algebraic complementary basic matrices ⋮ A new characterization of generalized complementary basic matrices ⋮ Factorizable matrices ⋮ Semi-involutory matrices and signed self-inverse ⋮ G-matrices, J-orthogonal matrices, and their sign patterns ⋮ Two \(n\times n\) G-classes of matrices having finite intersection

Cites Work

• Some inheritance properties for complementary basic matrices
• Notes on Hilbert and Cauchy matrices
• Complementary basic matrices
• Intrinsic products and factorizations of matrices
• When does the inverse have the same sign pattern as the transpose?
• Relations between the diagonal elements of two mutually inverse positive definite matrices
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