The spectrum of a modified linear pencil

DOI10.1016/S0898-1221(03)90229-XzbMath1054.65033WikidataQ29299854 ScholiaQ29299854MaRDI QIDQ597277

Yitshak M. Ram, Gene H. Golub, Sylvan Elhay

Publication date: 6 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

numerical examplesdivide and conquer methodGeneralized eigenvalue problemInterlacing eigenvaluesMatrix tearingModified vibrating systemSecular equation

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Canonical forms, reductions, classification (15A21)

Related Items

The number of distinct eigenvalues of a regular pencil and of a square matrix after rank perturbation ⋮ Eigenvalue Placement for Regular Matrix Pencils with Rank One Perturbations

Cites Work

• A constrained eigenvalue problem
• A Divide and Conquer method for the symmetric tridiagonal eigenproblem
• Rank-one modification of the symmetric eigenproblem
• A Fully Parallel Algorithm for the Symmetric Eigenvalue Problem
• Inverse Eigenvalue Problem for a Modified Vibrating System
• Some Modified Matrix Eigenvalue Problems