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The Double-Layer Potential for Spectral Constants Revisited. [PDF]
Schwenninger FL, de Vries J.
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Model reduction of structural mechanical response in the time domain. [PDF]
Yan X, Guo X, He N, Shi J, Zhao D.
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Achieving high precision in analog in-memory computing systems. [PDF]
Mannocci P +3 more
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On tensor tubal-Krylov subspace methods
Linear and Multilinear Algebra, 2021In 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
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Analysis of Augmented Krylov Subspace Methods
SIAM Journal on Matrix Analysis and Applications, 1997``Augmented Krylov methods'' are studied theoretically. These methods for solving a linear system are projection methods in which the subspace of projection is of the form \(K = K_{m} + W\), where \(K_{m}\) is the standard Krylov subspace, which is augmented by another subspace \(W\). The subspace \(W\) can be chosen in different ways.
Yousef Saad
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Truncation Strategies for Optimal Krylov Subspace Methods
SIAM Journal on Numerical Analysis, 1999Summary: 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
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Convergence analysis of Krylov subspace methods
GAMM-Mitteilungen, 2004AbstractOne of the most powerful tools for solving large and sparse systems of linear algebraic equations is a class of iterative methods called Krylov subspace methods. Their significant advantages like low memory requirements and good approximation properties make them very popular, and they are widely used in applications throughout science and ...
Liesen, Jörg, Tichý, Petr
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Chapter 6: Krylov Subspace Methods
Matrix Analysis and Computations, 2021semanticscholar +2 more sources
Krylov Subspace Methods for Linear Systems
Springer Series in Computational Mathematics, 2022T. Sogabe
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