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Nonlinear matrix equations and structured linear algebra
- Source :
- Linear Algebra and its Applications. 413:440-457
- Publication Year :
- 2006
- Publisher :
- Elsevier BV, 2006.
-
Abstract
- Different kinds of nonlinear matrix equations are analyzed and their interplay with certain structured matrices is pointed out. By using the point of view and the tools of structured linear algebra, both theoretical results and numerical methods are derived for solving different classes of nonlinear matrix equations.
- Subjects :
- Nonlinear matrix equations
Numerical Analysis
Algebra and Number Theory
Markov chains
Quadratic matrix equations
Convergent matrix
System of linear equations
Augmented matrix
Overdetermined system
Algebra
Matrix (mathematics)
Matrix splitting
Toeplitz matrices
Matrix pth root
Discrete Mathematics and Combinatorics
Queueing problems
Geometry and Topology
Matrix analysis
Power series matrix equations
Coefficient matrix
Mathematics
Subjects
Details
- ISSN :
- 00243795
- Volume :
- 413
- Database :
- OpenAIRE
- Journal :
- Linear Algebra and its Applications
- Accession number :
- edsair.doi.dedup.....0cadf37b43c8fda0cbc3977d3eb76d82