Results 211 to 220 of about 14,496,760 (259)
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Krylov subspace methods to solve a class of tensor equations via the Einstein product
Numerical Linear Algebra with Applications, 2019This paper is concerned with some of the well‐known iterative methods in their tensor forms to solve a class of tensor equations via the Einstein product.
Bao-Hua Huang, Ya-Jun Xie, Chang-Feng Ma
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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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Analysis of Augmented Krylov Subspace Methods
SIAM Journal on Matrix Analysis and Applications, 1997Residual norm estimates are derived for a general class of methods based on projection techniques on subspaces of the form $ K_m + {\cal W}$, where $K_m$ is the standard Krylov subspace associated with the original linear system and ${\cal W}$ is some other subspace.
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On the Convergence of Restarted Krylov Subspace Methods
SIAM Journal on Matrix Analysis and Applications, 2000We are interested in the convergence analysis of restarted Krylov subspace iterative methods for the solution of large nonsymmetric linear systems. Several contributions in the literature have associated the convergence to some spectral properties of the coefficient matrix, while little work has been devoted to investigating how the singular values of ...
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Error-Minimizing Krylov Subspace Methods
SIAM Journal on Scientific Computing, 1994Iterative methods for the solution of linear systems are usually controlled by the observation of the norm of the residual. In reality, the error should be controlled, but the error is not available. The residuals and the errors are connected by the condition number of the system matrix.
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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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Krylov Subspace Methods for Linear Systems
Springer Series in Computational Mathematics, 2022T. Sogabe
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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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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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