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Structured Matrices in Mathematics, Computer Science, and Engineering.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Olshevsky, Vadim
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2001.
Colección:Contemporary Mathematics.
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 blockâ€?Toeplitzâ€?Toeplitzâ€?block matrices by levelâ€?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""