Eigenvalue interlacing for certain classes of matrices with real principal minors

DOI10.1016/0024-3795(87)90117-0zbMath0621.15018OpenAlexW2109770766MaRDI QIDQ1090387

Hans Schneider, Daniel Hershkowitz, Volker Mehrmann

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90117-0

zbMATH Keywords

Hermitian matricesZ-matriceseigenvalue interlacing propertyeigenvalue monotonicity propertyleading principal (GLP) minorpositive GLP property

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (5)

Unnamed Item ⋮ Interlacing properties of the eigenvalues of some matrix classes ⋮ The distance spectrum of complements of trees ⋮ Some personal reminiscences of Olga Taussky-Todd ⋮ Linear transformations which map the classes of \(\omega\)-matrices and \(\tau\)-matrices into or onto themselves

Cites Work

• On the LU decomposition of V-matrices
• Notes on \(\omega\)- and \(\tau\)-matrices
• On classes of matrices containing M-matrices and Hermitian positive semidefinite matrices
• Lyapunov diagonal semistability of real H-matrices
• A separation theorem for non-symmetric matrices
• Matrices Whose Powers are M-Matrices or Z-Matrices
• The Hadamard-Fischer inequality for a class of matrices defined by eigenvalue monotonicity
• Olga Taussky-Todd's influence on matrix theory and matrix theorists
• On some properties of matrices with positive elements
• A property of sign-symmetric matrices
• Bigradients and the Euclid-Sturm Algorithm
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Eigenvalue interlacing for certain classes of matrices with real principal minors