Structured Matrices in Mathematics, Computer Science, and Engineering.
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Providence :
American Mathematical Society,
2001.
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Colección: | Contemporary Mathematics.
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Temas: | |
Acceso en línea: | Texto completo Texto completo |
Tabla de Contenidos:
- Contents
- Foreword
- Part V. Fast Algorithms
- The Schur algorithm for matrices with Hessenberg displacement structure
- Fast inversion algorithms for a class of block structured matrices
- A fast and stable solver for recursively semi-separable systems of linear equations
- Part VI. Numerical Issues
- Stability properties of several variants of the unitary Hessenberg QR algorithm
- Comparison of algorithms for Toeplitz least squares and symmetric positive definite linear systems
- Stability of Toeplitz matrix inversion formulas
- ""Necessary and sufficient conditions for accurate and efficient rational function evaluation and factorizations of rational matrices""""Updating and downdating of orthonormal polynomial vectors and some applications""; ""Rank-revealing decompositions of symmetric Toeplitz matrices""; ""Part VII. Iterative Methods. Preconditioners""; ""A survey of preconditioners for ill-conditioned Toeplitz systems""; ""Preconditioning of Hermitian block�Toeplitz�Toeplitz�block matrices by level�1 preconditioners""; ""Part VIII. Linear Algebra and Various Applications""
- ""Approximate displacement rank and applications""""Properties of some generalizations of Kac-Murdock-Szegö matrices""; ""Efficient inversion formulas for Toeplitz-plus-Hankel matrices using trigonometric transformations""; ""On a generalization of Poincaré's theorem for matrix difference equations arising from root-finding problems""; ""Completions of triangular matrices: A survey of results and open problems""; ""Positive representation formulas for finite difference discretizations of (elliptic) second order PDEs""; ""On some problems involving invariant norms and Hadamard products""