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On the Convergence of Restarted Krylov Subspace Methods

SIAM Journal on Matrix Analysis and Applications, 2000
The paper is concerned with investigation of convergence of Krylov subspace iterative method for the solution of large nonsymmetric linear systems. Restarted methods terminate the process after a fixed number of iterations and then repeat the procedure using the residual of the current approximate solution as new initial vector.
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Application of Krylov subspaces to SPECT imaging

International Journal of Imaging Systems and Technology, 2002
AbstractThe application of the conjugate gradient (CG) algorithm to the problem of data reconstruction in SPECT imaging indicates that most of the useful information is already contained in Krylov subspaces of small dimension, ranging from 9 (two‐dimensional case) to 15 (three‐dimensional case).
CALVINI P., BERTERO, MARIO
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Error-Minimizing Krylov Subspace Methods

SIAM Journal on Scientific Computing, 1994
This paper first introduces generalized conjugate gradient methods which specialize to error minimizing procedures as well as to residual minimizing methods. General minimum error methods are then introduced, and the two method classes are compared.
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Least Squares Methods in Krylov Subspaces

Journal of Mathematical Sciences, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Iterative Processes in the Krylov–Sonneveld Subspaces

Journal of Mathematical Sciences, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Krylov Subspaces

2015
Voce di Enciclopedia. Abstract del libro: This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks
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Krylov Subspace Methods

2012
Jörg Liesen, Zdenek Strakos
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The Origin and Development of Krylov Subspace Methods

Computing in Science & Engineering, 2022
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A Restarted Krylov Subspace Method for the Evaluation of Matrix Functions

SIAM Journal on Numerical Analysis, 2006
Oliver Ernst
exaly  

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