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Controllability, inertia, and stability for tridiagonal matrices
- Source :
- Linear Algebra and its Applications. 56:207-220
- Publication Year :
- 1984
- Publisher :
- Elsevier BV, 1984.
-
Abstract
- Criteria are given for the controllability of certain pairs of tridiagonal matrices. These criteria may be used, with the Chen-Wimmer theorem, to obtain inertia results. Also, a characterization is given of those nonsingular tridiagonal matrices with certain principal minors nonnegative which are positive stable. This extends a previous characterization of the real D -stable tridiagonal matrices.
- Subjects :
- Numerical Analysis
Pure mathematics
Algebra and Number Theory
Tridiagonal matrix
media_common.quotation_subject
Mathematics::Rings and Algebras
Tridiagonal matrix algorithm
Characterization (mathematics)
Inertia
Computer Science::Numerical Analysis
Stability (probability)
Mathematics::Numerical Analysis
law.invention
Controllability
Algebra
Invertible matrix
Matrix splitting
law
Computer Science::Mathematical Software
Discrete Mathematics and Combinatorics
Geometry and Topology
media_common
Mathematics
Subjects
Details
- ISSN :
- 00243795
- Volume :
- 56
- Database :
- OpenAIRE
- Journal :
- Linear Algebra and its Applications
- Accession number :
- edsair.doi.dedup.....2a2d9f756696560c63ba9a1ab98ec109
- Full Text :
- https://doi.org/10.1016/0024-3795(84)90126-5