Perturbation theory for the eigenvalues of factorised symmetric matrices
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Publication:1976911
DOI10.1016/S0024-3795(99)00157-3zbMath0982.15022MaRDI QIDQ1976911
Publication date: 9 May 2000
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Related Items (9)
The rotation of eigenspaces of perturbed matrix pairs II ⋮ Perturbation analysis for the generalized Cholesky factorization. ⋮ Full block \(J\)-Jacobi method for Hermitian matrices ⋮ REPRESENTATION THEOREMS FOR INDEFINITE QUADRATIC FORMS REVISITED ⋮ A note on the perturbation analysis for the generalized Cholesky factorization ⋮ Numerical methods for accurate computation of the eigenvalues of Hermitian matrices and the singular values of general matrices ⋮ A bound for the condition of a hyperbolic eigenvector matrix ⋮ Relative perturbation theory for a class of diagonalizable Hermitian matrix pairs ⋮ Relative perturbation theory for hyperbolic singular value problem
Cites Work
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- Unsymmetric positive definite linear systems
- A bound for the condition of a hyperbolic eigenvector matrix
- Floating-point perturbations of Hermitian matrices
- A Jacobi eigenreduction algorithm for definite matrix pairs
- Componentwise analysis of direct factorization of real symmetric and Hermitian matrices
- Perturbations of the eigenprojections of a factorized Hermitian matrix
- Relatively robust representations of symmetric tridiagonals
- Existence of the hyperbolic singular value decomposition
- Jacobi’s Method is More Accurate than QR
- On the Perturbation of the Cholesky Factorization
- Symmetric Quasidefinite Matrices
- On the Stability of Cholesky Factorization for Symmetric Quasidefinite Systems
- Computing Accurate Eigensystems of Scaled Diagonally Dominant Matrices
- Direct Methods for Solving Symmetric Indefinite Systems of Linear Equations
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