| Título : |
Krylov Subspace Methods : principles and analysis |
| Tipo de documento: |
texto impreso |
| Autores: |
Jörg Liesen, Autor ; Zdenek Strakos, Autor |
| Editorial: |
Oxford : Oxford University Press |
| Fecha de publicación: |
2015 |
| Número de páginas: |
391 páginas |
| Dimensiones: |
23 centímetros |
| ISBN/ISSN/DL: |
978-0-19-873904-3 |
| Idioma : |
Inglés (eng) |
| Clasificación: |
ALGEBRA LINEAL
ANALISIS MATEMATICO
MATRICES (MATEMATICAS)
METODOS NUMERICOS
SUBESPACIO DE KRYLOV
|
| Clasificación: |
515.252 L62 |
| Nota de contenido: |
Krylov subspace methods. Derivation of some Krylov subspace methods. Matching moments and model reduction view. Stieltjes' moment problem. Model reduction via orthogonal polynomials. Orthogonal polynomials and continued fractions. Jacobi Matrices. Model reduction via Matrices. Factorisation of the Matrix of moments. Vorobyev's moment problem. Matching moments and projection processes. Model reduction of large scale dynamical systems. Short recurrences for generating orthogonal Krylov subspace bases. The existence of conjugate gradient like descent methods. Cyclic subspaces and the Jordan Canonical form and the length of the Krylov sequences. Optimal short recurrences. Sufficient conditions. Matrix formulation and equivalent characterisations. Remarks on functional analytic representations. Cost of computations using Krylov subspace methods. GMRES in exact arithmetic. Rounding errors and backward stability. |
| Link: |
https://pmb.unjbg.edu.pe/opac_css/index.php?lvl=notice_display&id=43442 |
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