Journal article
Perturbations, Singular Values, and Ranks of Partial Triangular Matrices
SIAM journal on matrix analysis and applications, v 16(1), 278
01 Jan 1995
Abstract
Questions regarding minimal representations of perturbations of discrete systems lead to the study of perturbations of lower triangular partial matrices and their minimal rank completions. Distance to the set of lower triangular partial matrices having minimal ranks smaller than a given integer is given in terms of (suitably generalized) singular numbers. Minimal ranks of lower triangular partial matrices in an arbitrary small neighborhood of a given lower triangular partial matrix are identified. The results are applied to minimal representations of discrete systems.
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Details
- Title
- Perturbations, Singular Values, and Ranks of Partial Triangular Matrices
- Creators
- Leiba RodmanHugo J Woerdeman
- Publication Details
- SIAM journal on matrix analysis and applications, v 16(1), 278
- Publisher
- Society for Industrial and Applied Mathematics
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:A1995QE10500019
- Other Identifier
- 991021864944604721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Mathematics, Applied