Estimates for the eigenvalues of the Jordan product of Hermitian matrices

DOI10.1016/0024-3795(84)90175-7zbMath0539.15009OpenAlexW2171834829MaRDI QIDQ793817

Peter W. Bates, Nicholas D. Alikakos

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0024-3795(84)90175-7

zbMATH Keywords

positive definite matrixJordan productestimates for eigenvaluesnonnegative condition

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (3)

On Strang's fifth bound for eigenvalues of the Jordan product of two self-adjoint operators on a finite-dimensional unitary space ⋮ Random positive operator valued measures ⋮ Bounds on eigenvalues of the product and the Jordan product of two positive definite operators on a finite-dimensional Hilbert space

Cites Work

• Extreme properties of eigenvalues of a hermitian transformation and singular values of the sum and product of linear transformations
• A semilinear parabolic system arising in the theory of superconductivity
• Remarks on Hermitian matrices
• Eigenvalue bounds for AB+BA, with A, B positive definite matrices
• A QUANTITATIVE FORMULATION OF SYLVESTER'S LAW OF INERTIA
• Eigenvalues of Jordan Products
• Remarks on invariance in reaction- diffusion equations
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