Composite matrix inverses and generalized Gershgorin sets
DOI10.1017/S0305004100061533zbMath0546.15005OpenAlexW2092367589MaRDI QIDQ3337596
Publication date: 1984
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0305004100061533
block partitioned matricesM-matriceseigenvalue inclusionGershgorin circlesblock eigenvalue estimationsblock partitioned Nyquist method
Theory of matrix inversion and generalized inverses (15A09) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48)
Cites Work
- Estimates for the inverse of a matrix and bounds for eigenvalues
- Note on circular disks containing the eigenvalues of a matrix
- Block diagonally dominant matrices and generalizations of the Gerschgorin circle theorem
- Estimates for the inverse of a matrix
- A complex variable approach to the analysis of linear multivariable feedback systems
- Gershgorin domains for partitioned matrices
- Über die Determinanten mit überwiegender Hauptdiagonale
- Limits for the characteristic roots of a matrix
- The convergence and local minimality of bounds for transfer functions
- A generalized Nyquist-type stability criterion for multivariable feedback systems†
- Geršgorin Theorems, Regularity Theorems, and Bounds for Determinants of Partitioned Matrices
- Note on Bounds for Determinants with Dominant Principal Diagonal
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