Condition number of singular value: zero-structured and patterned case
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Publication:5852147
DOI10.1080/00207160802051030zbMath1185.65075OpenAlexW1994058436MaRDI QIDQ5852147
Publication date: 26 January 2010
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160802051030
perturbationnumerical experimentscondition numberrectangular matrixsingular valueToeplitz and Hankel matrices
Eigenvalues, singular values, and eigenvectors (15A18) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12) Toeplitz, Cauchy, and related matrices (15B05)
Cites Work
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- A second order perturbation expansion for small singular values
- Perturbation of the SVD in the presence of small singular values
- A note on the perturbation of singular values
- Numerical methods in control
- Eigenvalue patterned condition numbers: Toeplitz and Hankel cases
- Condition numbers for structured least squares problems
- Eigenvalue condition numbers: zero-structured versus traditional.
- Structured condition numbers of large Toeplitz matrices are rarely better than usual condition numbers
- The generalized eigenstructure problem in linear system theory
- Backward Error and Condition of Structured Linear Systems
- Ill-Conditioned Eigensystems and the Computation of the Jordan Canonical Form
- Structured Backward Error and Condition of Generalized Eigenvalue Problems
- Relative Perturbation Theory: II. Eigenspace and Singular Subspace Variations
- A Second-Order Perturbation Expansion for the SVD
- Algorithm 694
- A Chart of Backward Errors for Singly and Doubly Structured Eigenvalue Problems
- An Introduction to Iterative Toeplitz Solvers
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