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
Two-Level Least Squares Methods in Krylov Subspaces
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DOI: 10.1007/s10958-018-3916-8
Abstract: Two-level least squares acceleration approaches are applied to the Chebyshev acceleration method and the restarted conjugate residual method in solving systems of linear algebraic equations with sparse unsymmetric coefficient matrices arising from finite volume or… read more here.
Keywords: two level; least squares; squares methods; level least ... See more keywords
Least-Squares Methods for Nonnegative Matrix Factorization Over Rational Functions
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DOI: 10.1109/tsp.2023.3260560
Abstract: Nonnegative matrix factorization (NMF) models are widely used to analyze linearly mixed nonnegative data. When the data is made of samplings of continuous signals, the factors in NMF can be constrained to be samples of… read more here.
Keywords: rational functions; factorization; squares methods; matrix factorization ... See more keywords