Matches in SemOpenAlex for { <https://semopenalex.org/work/W1581837315> ?p ?o ?g. }
Showing items 1 to 81 of
81
with 100 items per page.
- W1581837315 abstract "This paper introduces a tensor-Krylov method, the tensor-GMRES method, for large sparse systems of nonlinear equations. This method is a coupling of tensor model formation and solution techniques for nonlinear equations with Krylov subspace projection techniques for unsymmetric systems of linear equations. Traditional tensor methods for nonlinear equations are based on a quadratic model of the nonlinear function, a standard linear model augmented by a simple second order term. These methods are shown to be significantly more efficient than standard methods both on nonsingular problems and on problems where the Jacobian matrix at the solution is singular. A major disadvantage of the traditional tensor methods is that the solution of the tensor model requires the factorization of the Jacobian matrix, which may not be suitable for problems where the Jacobian matrix is large and has a 'bad' sparsity structure for an efficient factorization. We overcome this difficulty by forming and solving the tensor model using an extension of a Newton-GMRES scheme. Like traditional tensor methods, we show that the new tensor method has significant computational advantages over the analogous Newton counterpart. Consistent with Krylov subspace based methods, the new tensor method does not depend on the factorization of the Jacobian matrix. As a matter of fact, the Jacobian matrix is never needed explicitly." @default.
- W1581837315 created "2016-06-24" @default.
- W1581837315 creator A5039864776 @default.
- W1581837315 creator A5043962546 @default.
- W1581837315 date "1994-07-01" @default.
- W1581837315 modified "2023-09-27" @default.
- W1581837315 title "Tensor-GMRES method for large sparse systems of nonlinear equations" @default.
- W1581837315 cites W101236918 @default.
- W1581837315 cites W1977307928 @default.
- W1581837315 cites W1988817497 @default.
- W1581837315 cites W2017478419 @default.
- W1581837315 cites W2026697747 @default.
- W1581837315 cites W2043938310 @default.
- W1581837315 cites W2056603712 @default.
- W1581837315 cites W2057197834 @default.
- W1581837315 cites W2073664445 @default.
- W1581837315 cites W2166430540 @default.
- W1581837315 cites W2898916015 @default.
- W1581837315 cites W6129087 @default.
- W1581837315 hasPublicationYear "1994" @default.
- W1581837315 type Work @default.
- W1581837315 sameAs 1581837315 @default.
- W1581837315 citedByCount "0" @default.
- W1581837315 crossrefType "journal-article" @default.
- W1581837315 hasAuthorship W1581837315A5039864776 @default.
- W1581837315 hasAuthorship W1581837315A5043962546 @default.
- W1581837315 hasConcept C121332964 @default.
- W1581837315 hasConcept C124007464 @default.
- W1581837315 hasConcept C134306372 @default.
- W1581837315 hasConcept C147060835 @default.
- W1581837315 hasConcept C155281189 @default.
- W1581837315 hasConcept C155332342 @default.
- W1581837315 hasConcept C158622935 @default.
- W1581837315 hasConcept C200331156 @default.
- W1581837315 hasConcept C202444582 @default.
- W1581837315 hasConcept C28826006 @default.
- W1581837315 hasConcept C33923547 @default.
- W1581837315 hasConcept C520416788 @default.
- W1581837315 hasConcept C62520636 @default.
- W1581837315 hasConcept C6802819 @default.
- W1581837315 hasConceptScore W1581837315C121332964 @default.
- W1581837315 hasConceptScore W1581837315C124007464 @default.
- W1581837315 hasConceptScore W1581837315C134306372 @default.
- W1581837315 hasConceptScore W1581837315C147060835 @default.
- W1581837315 hasConceptScore W1581837315C155281189 @default.
- W1581837315 hasConceptScore W1581837315C155332342 @default.
- W1581837315 hasConceptScore W1581837315C158622935 @default.
- W1581837315 hasConceptScore W1581837315C200331156 @default.
- W1581837315 hasConceptScore W1581837315C202444582 @default.
- W1581837315 hasConceptScore W1581837315C28826006 @default.
- W1581837315 hasConceptScore W1581837315C33923547 @default.
- W1581837315 hasConceptScore W1581837315C520416788 @default.
- W1581837315 hasConceptScore W1581837315C62520636 @default.
- W1581837315 hasConceptScore W1581837315C6802819 @default.
- W1581837315 hasLocation W15818373151 @default.
- W1581837315 hasOpenAccess W1581837315 @default.
- W1581837315 hasPrimaryLocation W15818373151 @default.
- W1581837315 hasRelatedWork W1533442397 @default.
- W1581837315 hasRelatedWork W2001771219 @default.
- W1581837315 hasRelatedWork W2113394707 @default.
- W1581837315 hasRelatedWork W2145687092 @default.
- W1581837315 hasRelatedWork W2147055631 @default.
- W1581837315 hasRelatedWork W2436947622 @default.
- W1581837315 hasRelatedWork W2949940479 @default.
- W1581837315 hasRelatedWork W2962856060 @default.
- W1581837315 hasRelatedWork W3002982638 @default.
- W1581837315 hasRelatedWork W3007346980 @default.
- W1581837315 hasRelatedWork W3041006936 @default.
- W1581837315 hasRelatedWork W3047768323 @default.
- W1581837315 hasRelatedWork W3123173823 @default.
- W1581837315 hasRelatedWork W3131801373 @default.
- W1581837315 hasRelatedWork W3211131334 @default.
- W1581837315 hasRelatedWork W562395476 @default.
- W1581837315 hasRelatedWork W90270684 @default.
- W1581837315 hasRelatedWork W958387121 @default.
- W1581837315 hasRelatedWork W968696780 @default.
- W1581837315 hasRelatedWork W2185183926 @default.
- W1581837315 isParatext "false" @default.
- W1581837315 isRetracted "false" @default.
- W1581837315 magId "1581837315" @default.
- W1581837315 workType "article" @default.