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Krylov Subspace Methods

Krylov Subspace Methods with Application in Incompressible Fluid Flow Solvers, 2018
Krylov subspace methods are widely used to solve large-scale linear systems, eigenvalue problems, and other matrix computations. In this mini-course, we will provide a brief overview of Krylov subspace methods focusing on the two widely used methods, the
A. Bruaset
semanticscholar   +2 more sources

Truncation Strategies for Optimal Krylov Subspace Methods

SIAM Journal on Numerical Analysis, 1999
Optimal Krylov subspace methods like GMRES and GCR have to compute an orthogonal basis for the entire Krylov subspace to compute the minimal residual approximation to the solution. Therefore, when the number of iterations becomes large, the amount of work and the storage requirements become excessive. In practice one has to limit the resources.
Eric de Sturler
openaire   +3 more sources

On tensor tubal-Krylov subspace methods

Linear and multilinear algebra, 2021
In this paper, we will introduce some new tubal-Krylov subspace methods for solving linear tensor equations. Using the well known tensor T-product, we will in particular define the tensor tubal-global GMRES that could be seen as a generalization of the ...
A. El Ichi, K. Jbilou, R. Sadaka
semanticscholar   +1 more source

On Moment Methods in Krylov Subspaces

Doklady Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

A Krylov Subspace Method for Information Retrieval

SIAM Journal on Matrix Analysis and Applications, 2004
A new algorithm for information retrieval is described. It is a vector space method with automatic query expansion. The original user query is projected onto a Krylov subspace generated by the query and the term-document matrix. Each dimension of the Krylov space is generated by a simple vector space search, using first the user query and then new ...
Katarina Blom, Axel Ruhe
openaire   +2 more sources

Spectral Variants of Krylov Subspace Methods

Numerical Algorithms, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brígida Molina, Marcos Raydan
openaire   +2 more sources

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