Note on the existence regions for eigenvalues of the solution to the discrete Lyapunov matrix equation

DOI10.1080/00207728308926471zbMath0512.15009OpenAlexW2081686707MaRDI QIDQ4750798

Takehiro Mori

Publication date: 1983

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728308926471

zbMATH Keywords

Lyapunov equationsingular valuescongruent matricesbounds for the eigenvaluessums of hermitean matrices

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48)

Cites Work

• Extreme properties of eigenvalues of a hermitian transformation and singular values of the sum and product of linear transformations
• On the ranges of two functions of positive definite matrices
• A QUANTITATIVE FORMULATION OF SYLVESTER'S LAW OF INERTIA
• On the discrete Lyapunov matrix equation
• A note on the algebraic matrix Riccati equation
• On norm bounds for algebraic Riccati and Lyapunov equations
• Upper and lower bounds on the solution of the algebraic Riccati equation

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