Solving Singular Generalized Eigenvalue Problems. Part II: Projection and Augmentation
DOI10.1137/22m1513174zbMath1526.65011arXiv2208.01359OpenAlexW4387938021MaRDI QIDQ6066096
Bor Plestenjak, Christian Mehl, Michiel E. Hochstenbach
Publication date: 15 November 2023
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.01359
perturbation theorybordered matrixaugmented matrixdouble eigenvaluessingular pencilsingular generalized eigenvalue problemconstrained eigenvalue problemprojection of normal rankrectangular pencil
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Ill-posedness and regularization problems in numerical linear algebra (65F22) Eigenvalues, singular values, and eigenvectors (15A18) Perturbation theory of linear operators (47A55) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Multiparameter eigenvalue problems. Volume I: Matrices and compact operators
- Wilkinson's bus: weak condition numbers, with an application to singular polynomial eigenproblems
- Restricted rank modification of the symmetric eigenvalue problem: Theoretical considerations
- Computation of zeros of linear multivariable systems
- Placing zeroes and the Kronecker canonical form
- On the singular two-parameter eigenvalue problem. II
- Root polynomials and their role in the theory of matrix polynomials
- A method for computing all values \({\lambda}\) such that \(A + {\lambda}B\) has a multiple eigenvalue
- Singular quadratic eigenvalue problems: linearization and weak condition numbers
- Numerical Instability of Resultant Methods for Multidimensional Rootfinding
- Generic Change of the Partial Multiplicities of Regular Matrix Pencils under Low-Rank Perturbations
- On the singular two-parameter eigenvalue problem
- Solving Singular Generalized Eigenvalue Problems by a Rank-Completing Perturbation
- Uniform Determinantal Representations
- Some Modified Matrix Eigenvalue Problems
This page was built for publication: Solving Singular Generalized Eigenvalue Problems. Part II: Projection and Augmentation
