Ritz values of normal matrices and Ceva's theorem
DOI10.1016/j.laa.2012.12.030zbMath1305.15026OpenAlexW1969133863MaRDI QIDQ389685
Derek J. Hansen, Russell L. Carden
Publication date: 21 January 2014
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2012.12.030
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical computation of matrix norms, conditioning, scaling (65F35)
Related Items (4)
Uses Software
Cites Work
- Imbedding conditions for normal matrices
- Principal submatrices of normal and Hermitian matrices
- A method for the inverse numerical range problem
- Imbedding Conditions for Hermitian and Normal Matrices
- Generalized minimax and interlacing theorems
- An inverse field of values problem
- A simple algorithm for the inverse field of values problem
- Implicit Application of Polynomial Filters in a k-Step Arnoldi Method
- Numerical Determination of the Field of Values of a General Complex Matrix
- Numerical Optimization
- GMRES/CR and Arnoldi/Lanczos as Matrix Approximation Problems
- The Tortoise and the Hare Restart GMRES
- Any Ritz Value Behavior Is Possible for Arnoldi and for GMRES
- Ritz Value Localization for Non-Hermitian Matrices
- The Arnoldi Eigenvalue Iteration with Exact Shifts Can Fail
- Inverse spectral problem for normal matrices and the Gauss-Lucas theorem
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