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Krylov Subspace Methods: Principles and Analysis
The mathematical theory of Krylov subspace methods with a focus on solving-based book. Starting from the idea of projections, Krylov subspace methods nonlinear Krylov subspaces can be linked with ...
BA - Obecná matematika
- 2013 •
- B
Rok uplatnění
B - Odborná kniha
Relation between the Lanczos Method and the other Krylov Subspace Methods.
Original scientific paper dealing with Relation between the Lanczos Method and the other Krylov Subspace Methods.
BD - Teorie informace
- 2000 •
- D
Rok uplatnění
D - Stať ve sborníku
Convergence of Augmented Krylov Subspace Methods
Two approaches for improving the convergence of the restarted GMRES method are presented. Both ones appear to be very efficient. This fact illustrate numerical experiments....
BA - Obecná matematika
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
Krylov Subspace Model Order Reduction of Large Scale Finite Element Dynamical Systems
The paper presents the benefits of using a Krylov subspace based MOR for solution of large scale finite element (FE) dynamical systems. The main advantage of using a Krylov MOR is significantly shortening of the computation...
JQ - Strojní zařízení a nástroje
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
The numerical stability analysis of pipelined conjugate gradient methods: historical context and methodology
Algebraic solvers based on preconditioned Krylov subspace methods are among. As the name suggests, Krylov subspace methods can be viewed as a sequence of projections onto nested subspaces of increasing dim...
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
PCDeflation
Deflation is used to accelerate Krylov subspace methods. This implementation supports multilevel deflation, coarse problem correction, dynamic tolerance for coarse problems, and init version of deflation. It can also compute wavelet...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2019 •
- R •
- Link
Rok uplatnění
R - Software
Výsledek na webu
Adaptive Version of Simpler GMRES
In this paper we propose a stable variant of Simpler GMRES. It is based on the adaptive choice of the Krylov subspace basis at a given iteration step using the intermediate residual norm decrease criterion. The new direction vector ...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Krylov solvability under perturbations of abstract inverse linear problems
is approximable by finite linear combinations of vectors from the cyclic subspace associated to be a Krylov solution. Krylov solvability of the inverse problem allows for solution approximations that, in applications, corr...
Applied mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
The Faber-Manteuffel Theorem for Linear Operators
A short recurrence for orthogonalizing Krylov subspace bases for a matrix A exists if and only if the adjoint of A is a low degree polynomial in A. In the area of iterative methods, this result is known as the Faber-Manteuffel Theor...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Krylov Subspace Methods in Finite Precision Arithmetic.
Annotation not available...
BA - Obecná matematika
- 1999 •
- D
Rok uplatnění
D - Stať ve sborníku
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