Least Squares Methods in Krylov Subspaces
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DOI: 10.1007/s10958-017-3460-y
Abstract: The paper considers iterative algorithms for solving large systems of linear algebraic equations with sparse nonsymmetric matrices based on solving least squares problems in Krylov subspaces and generalizing the alternating Anderson–Jacobi method. The approaches suggested… read more here.
Keywords: krylov subspaces; methods krylov; squares methods; least squares ... See more keywords
Projection Methods in Krylov Subspaces
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DOI: 10.1007/s10958-019-04395-7
Abstract: The paper considers preconditioned iterative methods in Krylov subspaces for solving large systems of linear algebraic equations with sparse coefficient matrices arising in solving multidimensional boundary-value problems by finite volume or finite element methods of… read more here.
Keywords: methods krylov; block; projection methods; krylov subspaces ... See more keywords
Structural properties of Krylov subspaces, Krylov solvability, and applications to unbounded self-adjoint operators
Sign Up to like & getrecommendations! Published in 2024 at "Banach Journal of Mathematical Analysis"
DOI: 10.1007/s43037-024-00392-4
Abstract: This paper presents a study of the inherent structural properties of Krylov subspaces, in particular for the self-adjoint class of operators, and how they relate with the important phenomenon of ‘Krylov solvability’ of linear inverse… read more here.
Keywords: krylov solvability; structural properties; properties krylov; krylov subspaces ... See more keywords