On some new inclusion theorems for the eigenvalues of partitioned matrices

DOI10.1007/BF01403679zbMath0433.65020OpenAlexW1965213134MaRDI QIDQ1139358

S. H. Smith

Publication date: 1980

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132683

zbMATH Keywords

partitioned matrixdeparture from normalityinclusion theorems of Gershgorin type

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items

Computing stable eigendecompositions of matrices ⋮ Strongly Damped Quadratic Matrix Polynomials

Cites Work

• Unnamed Item
• Norms and exclusion theorems
• Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices
• Block diagonally dominant matrices and generalizations of the Gerschgorin circle theorem
• On the computation of inclusion regions for partitioned matrices