Geometric mapping properties of semipositive matrices

DOI10.1016/j.laa.2015.07.015zbMath1334.15091OpenAlexW1027391109MaRDI QIDQ269281

Michael J. Tsatsomeros

Publication date: 18 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2015.07.015

zbMATH Keywords

nonnegative matrixprincipal pivot transformpolyhedral coneCayley transformPerron-Frobeniusproper conesemipositive matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items

Full column rank preservers that preserve semipositivity of matrices ⋮ Unnamed Item ⋮ On linear preservers of semipositive matrices ⋮ Algebraic and geometric properties of \(\mathcal{L}_+^n\)-semipositive matrices and \(\mathcal{L}_+^n\)-semipositive cones ⋮ Semipositivity with respect to the Lorentz cone ⋮ M-matrix and inverse M-matrix extensions ⋮ Semipositive matrices and their semipositive cones ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometric conditions for the existence of positive eigenvalues of matrices
• Principal pivot transforms: Properties and applications
• Some generalizations of positive definiteness and monotonicity
• Semipositivity of matrices
• On the Cayley transform of positivity classes of matrices
• On the Spectra of Striped Sign Patterns
• Spectral Properties of Matrices which have Invariant Cones
• Cross-Positive Matrices