Matches in SemOpenAlex for { <https://semopenalex.org/work/W2621234947> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W2621234947 abstract "The FEAST eigenvalue algorithm is a subspace iteration algorithm that uses contour integration in the complex plane to obtain the eigenvectors of a matrix for the eigenvalues that are located in any user-defined search interval. By computing small numbers of eigenvalues in specific regions of the complex plane, FEAST is able to naturally parallelize the solution of eigenvalue problems by solving for multiple eigenpairs simultaneously. The traditional FEAST algorithm is implemented by directly solving collections of shifted linear systems of equations; in this paper, we describe a variation of the FEAST algorithm that uses iterative Krylov subspace algorithms for solving the shifted linear systems inexactly. We show that this iterative FEAST algorithm (which we call IFEAST) is mathematically equivalent to a block Krylov subspace method for solving eigenvalue problems. By using Krylov subspaces indirectly through solving shifted linear systems, rather than directly for projecting the eigenvalue problem, IFEAST is able to solve eigenvalue problems using very large dimension Krylov subspaces, without ever having to store a basis for those subspaces. IFEAST thus combines the flexibility and power of Krylov methods, requiring only matrix-vector multiplication for solving eigenvalue problems, with the natural parallelism of the traditional FEAST algorithm. We discuss the relationship between IFEAST and more traditional Krylov methods, and provide numerical examples illustrating its behavior." @default.
- W2621234947 created "2017-06-09" @default.
- W2621234947 creator A5031634945 @default.
- W2621234947 creator A5047760188 @default.
- W2621234947 date "2017-06-02" @default.
- W2621234947 modified "2023-09-27" @default.
- W2621234947 title "An improved Krylov eigenvalue strategy using the FEAST algorithm with inexact system solves." @default.
- W2621234947 cites W1506342804 @default.
- W2621234947 cites W1598589780 @default.
- W2621234947 cites W1803217602 @default.
- W2621234947 cites W1979921936 @default.
- W2621234947 cites W1998906317 @default.
- W2621234947 cites W2009921428 @default.
- W2621234947 cites W2046204483 @default.
- W2621234947 cites W2051833651 @default.
- W2621234947 cites W2064176252 @default.
- W2621234947 cites W2081696668 @default.
- W2621234947 cites W2083676493 @default.
- W2621234947 cites W2127664150 @default.
- W2621234947 cites W2480854438 @default.
- W2621234947 cites W2789312390 @default.
- W2621234947 cites W2798909945 @default.
- W2621234947 cites W2955469346 @default.
- W2621234947 cites W62683955 @default.
- W2621234947 hasPublicationYear "2017" @default.
- W2621234947 type Work @default.
- W2621234947 sameAs 2621234947 @default.
- W2621234947 citedByCount "1" @default.
- W2621234947 countsByYear W26212349472020 @default.
- W2621234947 crossrefType "posted-content" @default.
- W2621234947 hasAuthorship W2621234947A5031634945 @default.
- W2621234947 hasAuthorship W2621234947A5047760188 @default.
- W2621234947 hasConcept C11413529 @default.
- W2621234947 hasConcept C121332964 @default.
- W2621234947 hasConcept C12362212 @default.
- W2621234947 hasConcept C134306372 @default.
- W2621234947 hasConcept C147060835 @default.
- W2621234947 hasConcept C155332342 @default.
- W2621234947 hasConcept C158693339 @default.
- W2621234947 hasConcept C159694833 @default.
- W2621234947 hasConcept C162443888 @default.
- W2621234947 hasConcept C179117685 @default.
- W2621234947 hasConcept C192702615 @default.
- W2621234947 hasConcept C202444582 @default.
- W2621234947 hasConcept C28826006 @default.
- W2621234947 hasConcept C32834561 @default.
- W2621234947 hasConcept C33923547 @default.
- W2621234947 hasConcept C41008148 @default.
- W2621234947 hasConcept C43143463 @default.
- W2621234947 hasConcept C62520636 @default.
- W2621234947 hasConcept C6802819 @default.
- W2621234947 hasConceptScore W2621234947C11413529 @default.
- W2621234947 hasConceptScore W2621234947C121332964 @default.
- W2621234947 hasConceptScore W2621234947C12362212 @default.
- W2621234947 hasConceptScore W2621234947C134306372 @default.
- W2621234947 hasConceptScore W2621234947C147060835 @default.
- W2621234947 hasConceptScore W2621234947C155332342 @default.
- W2621234947 hasConceptScore W2621234947C158693339 @default.
- W2621234947 hasConceptScore W2621234947C159694833 @default.
- W2621234947 hasConceptScore W2621234947C162443888 @default.
- W2621234947 hasConceptScore W2621234947C179117685 @default.
- W2621234947 hasConceptScore W2621234947C192702615 @default.
- W2621234947 hasConceptScore W2621234947C202444582 @default.
- W2621234947 hasConceptScore W2621234947C28826006 @default.
- W2621234947 hasConceptScore W2621234947C32834561 @default.
- W2621234947 hasConceptScore W2621234947C33923547 @default.
- W2621234947 hasConceptScore W2621234947C41008148 @default.
- W2621234947 hasConceptScore W2621234947C43143463 @default.
- W2621234947 hasConceptScore W2621234947C62520636 @default.
- W2621234947 hasConceptScore W2621234947C6802819 @default.
- W2621234947 hasLocation W26212349471 @default.
- W2621234947 hasOpenAccess W2621234947 @default.
- W2621234947 hasPrimaryLocation W26212349471 @default.
- W2621234947 hasRelatedWork W1551726685 @default.
- W2621234947 hasRelatedWork W1579164926 @default.
- W2621234947 hasRelatedWork W1678750361 @default.
- W2621234947 hasRelatedWork W2018931076 @default.
- W2621234947 hasRelatedWork W2020563077 @default.
- W2621234947 hasRelatedWork W2056104165 @default.
- W2621234947 hasRelatedWork W2114359197 @default.
- W2621234947 hasRelatedWork W2539553730 @default.
- W2621234947 hasRelatedWork W2617923577 @default.
- W2621234947 hasRelatedWork W2766114786 @default.
- W2621234947 hasRelatedWork W2798028937 @default.
- W2621234947 hasRelatedWork W2963377495 @default.
- W2621234947 hasRelatedWork W2964332084 @default.
- W2621234947 hasRelatedWork W2991822090 @default.
- W2621234947 hasRelatedWork W3033574087 @default.
- W2621234947 hasRelatedWork W3079076805 @default.
- W2621234947 hasRelatedWork W3089066790 @default.
- W2621234947 hasRelatedWork W3095073546 @default.
- W2621234947 hasRelatedWork W2524243948 @default.
- W2621234947 isParatext "false" @default.
- W2621234947 isRetracted "false" @default.
- W2621234947 magId "2621234947" @default.
- W2621234947 workType "article" @default.