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Projection Methods in Krylov Subspaces
Journal of Mathematical Sciences, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Convergence of Restarted Krylov Subspace Methods
SIAM Journal on Matrix Analysis and Applications, 2000The 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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Error-Minimizing Krylov Subspace Methods
SIAM Journal on Scientific Computing, 1994This 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, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Krylov subspace method for fuzzy eigenvalue problem
Journal of Intelligent & Fuzzy Systems, 2014The eigenvalue problem arises in many application areas and in the fuzzy setting, focus has always been geared towards the finding of solution for the whole set of eigenvalues and corresponding eigenvectors. This paper introduces the computation of a few eigenpairs of a matrix with triangular fuzzy numbers as elements, where the modal matrix is assumed
Pillay Kanaksabee +2 more
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Macromodelling oscillators using krylov-subspace methods
Asia and South Pacific Conference on Design Automation, 2006., 2006We present an efficient method for automatically extracting unified amplitude/phase macromodels of arbitrary oscillators from their SPICE-level circuit descriptions. Such comprehensive oscillator macromodels are necessary for accuracy when speeding up simulation of higher-level circuits/systems, such as PLLs, in which oscillators are embedded. Standard
Xiaolue Lai, Jaijeet Roychowdhury
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Multigrid Incomplete Factorization Methods in Krylov Subspaces
Journal of Mathematical Sciences, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Krylov subspace methods for the generalized Sylvester equation
Applied Mathematics and Computation, 2006Krylov type iterative algorithms are considered for the numerical solution of the real matrix Sylvester equation (1) \(AXB-X=C\). Convergence estimates are derived and results from numerical experiments are presented. The approach is based on an equivalent vector form of (1). Therefore a comparison with the direct Schur-Hessenberg method for solving (1)
Liang Bao, Yiqin Lin, Yimin Wei 0001
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Variational Density Fitting with a Krylov Subspace Method
Journal of Chemical Theory and Computation, 2020In this work, we present the implementation of a variational density fitting methodology that uses iterative linear algebra for solving the associated system of linear equations. It is well known that most difficulties with this system arise from the fact that the coefficient matrix is in general ill-conditioned and, due to finite precision round-off ...
Jesús N. Pedroza-Montero +5 more
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Krylov Subspace Methods for the Eigenproblem
2010These papers comprise some of Stewart’s recent contributions to the development and analysis of iterative algorithms based on Krylov subspace methods for computing eigenvalues.
Howard C. Elman, Dianne P. O’Leary
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