The Cayley transform of prevalent matrix classes

DOI10.1016/j.laa.2023.10.017MaRDI QIDQ6184911

K. C. Sivakumar, Michael J. Tsatsomeros, Samir Mondal

Publication date: 29 January 2024

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

zbMATH Keywords

Hermitian matrixpositive definite matrixsemipositive matrixStieltjes matrixalmost skew-Hermitian matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Orthogonal matrices (15B10)

Cites Work

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• Tucker's theorem for almost skew-symmetric matrices and a proof of Farkas' lemma
• Classes of general \(H\)-matrices
• Almost skew-symmetric matrices
• M-matrix and inverse M-matrix extensions
• On the ranges of two functions of positive definite matrices
• Matrices \(C\) with \(C^ n\to 0\)
• Inverse \(H\)-matrices
• Stable matrices, the Cayley transform, and convergent matrices
• Matrix Positivity
• A Note on Matrices with Positive Definite Real Part
• Iterative Solution Methods
• On the Cayley transform of positivity classes of matrices
• Convex sets of nonsingular and P:–Matrices

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