Rounding-error and perturbation bounds for the indefinite QR factorization
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Publication:1976912
DOI10.1016/S0024-3795(99)00156-1zbMath0948.65042MaRDI QIDQ1976912
Publication date: 22 November 2000
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Roundoff error (65G50) Orthogonalization in numerical linear algebra (65F25)
Related Items (10)
Stable and Efficient Computation of Generalized Polar Decompositions ⋮ Two-sided generalized hyperbolic QR factorization and its perturbation analysis ⋮ A Structure-Preserving Divide-and-Conquer Method for Pseudosymmetric Matrices ⋮ Three-level parallel J-Jacobi algorithms for Hermitian matrices ⋮ Orthosymmetric block reflectors ⋮ Perturbation analysis for the hyperbolic QR factorization ⋮ Indefinite QR factorization ⋮ Cholesky-Like Factorization of Symmetric Indefinite Matrices and Orthogonalization with Respect to Bilinear Forms ⋮ Rounding error and perturbation bounds for the symplectic QR factorization ⋮ An implicit Jacobi-like method for computing generalized hyperbolic SVD
Uses Software
Cites Work
- Perturbation bounds for the Cholesky and QR factorizations
- Rounding-error and perturbation bounds for the Cholesky and \(LDL^ T\) factorizations
- Componentwise perturbation bounds for some matrix decompositions
- Error analysis of QR decompositions by Givens transformations
- Floating-point perturbations of Hermitian matrices
- On perturbation bounds for the QR factorization
- Componentwise analysis of direct factorization of real symmetric and Hermitian matrices
- A Componentwise Perturbation Analysis of the $QR$ Decomposition
- On the Perturbation of LU, Cholesky, and QR Factorizations
- Perturbation Bounds for the $QR$ Factorization of a Matrix
- Symmetric Quasidefinite Matrices
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