Combined matrices in special classes of matrices

DOI10.1016/j.laa.2011.03.054zbMath1221.15044OpenAlexW2110734409MaRDI QIDQ551318

Miroslav Fiedler, Thomas L. Markham

Publication date: 15 July 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.2011.03.054

zbMATH Keywords

Hadamard productpositive definite matrixM-matrixtotally positive matrixcombined matrixCauchy matrixoscillatory matrix

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (9)

Combined matrices of sign regular matrices ⋮ Combined matrix of diagonally equipotent matrices ⋮ Combined matrices of almost strictly sign regular matrices ⋮ Diagonal entries of the combined matrix of a totally negative matrix ⋮ Dense alternating sign matrices and extensions ⋮ Combined matrices and conditioning ⋮ CMMSE algorithms for constructing doubly stochastic matrices with the relative gain array (combined matrix) \( A \circ A^{-T}\) ⋮ The Hadamard product of a nonsingular general H-matrix and its inverse transpose is diagonally dominant ⋮ Diagonal entries of the combined matrix of sign regular matrices of order three

Cites Work

• Notes on Hilbert and Cauchy matrices
• Consecutive-column and -row properties of matrices and the Loewner-Neville factorization
• Complementary basic matrices
• Generalized totally positive matrices
• A reduction theorem for totally positive matrices
• Relations between the diagonal elements of two mutually inverse positive definite matrices
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