Quasi-positive definite operators and matrices

DOI10.1016/0024-3795(88)90130-9zbMath0654.15022OpenAlexW2024191900MaRDI QIDQ1108355

Dipa Choudhury, Roger A. Horn, Stephen J. Pierce

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0024-3795(88)90130-9

zbMATH Keywords

inequalitiestensor productHermitian forminner product spacesmatrix functionslargest and smallest eigenvaluesHermitian linear operatornegative inertiaquasi- positive definite

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48) Quadratic and bilinear forms, inner products (15A63) Multilinear algebra, tensor calculus (15A69)

Related Items (4)

Spectral bounds derived from quadratic forms on decomposable tensors ⋮ Decomposably non-negative matrices ⋮ The contact problem in Lagrangian systems with redundant frictional bilateral and unilateral constraints and singular mass matrix. The all-sticking contacts problem ⋮ A criterion for the existence of common invariant subspaces of matrices

Cites Work

• Unnamed Item
• Linear maps and tensor rank
• On Quadratic and Bilinear Forms in Function Theory
• Matrix Analysis
• Unitary and Orthogonal Transformations on Matrices
• The Hadamard Theorem for Permanents

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