Matches in SemOpenAlex for { <https://semopenalex.org/work/W2984366386> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W2984366386 endingPage "1310" @default.
- W2984366386 startingPage "1291" @default.
- W2984366386 abstract "The paper considers a Jacobi method for solving the generalized eigenvalue problem $Ax=lambda Bx$, where $A$ and $B$ are complex Hermitian matrices and $B$ is positive definite. The method is a proper generalization of the standard Jacobi method for the Hermitian matrix $A$ to the matrix pair $(A,B)$. The paper derives the method and proves its global convergence under the large class of generalized serial pivot strategies. If both matrices are positive definite, it can be implemented as a one-sided method. It then solves the initial problem as the generalized singular value problem. Its main application is to serve as a kernel algorithm in a block Jacobi method for the same problem with large matrices $A$ and $B$. The block Jacobi methods are methods of choice on contemporary CPU and GPU computing architectures. The proposed algorithm is very efficient on pairs of almost diagonal matrices, and diagonalization of such matrices is the main task of the kernel algorithm. The numerical tests indicate the high relative accuracy of the method on certain pairs of positive definite matrices." @default.
- W2984366386 created "2019-11-22" @default.
- W2984366386 creator A5024237919 @default.
- W2984366386 date "2019-01-01" @default.
- W2984366386 modified "2023-10-17" @default.
- W2984366386 title "On the Global Convergence of the Complex HZ Method" @default.
- W2984366386 cites W1966541833 @default.
- W2984366386 cites W1968716004 @default.
- W2984366386 cites W1984905648 @default.
- W2984366386 cites W2014100981 @default.
- W2984366386 cites W2018980273 @default.
- W2984366386 cites W2036569756 @default.
- W2984366386 cites W2053121950 @default.
- W2984366386 cites W2078675418 @default.
- W2984366386 cites W2110464065 @default.
- W2984366386 cites W2769308963 @default.
- W2984366386 cites W803795553 @default.
- W2984366386 doi "https://doi.org/10.1137/19m1265594" @default.
- W2984366386 hasPublicationYear "2019" @default.
- W2984366386 type Work @default.
- W2984366386 sameAs 2984366386 @default.
- W2984366386 citedByCount "6" @default.
- W2984366386 countsByYear W29843663862020 @default.
- W2984366386 countsByYear W29843663862021 @default.
- W2984366386 countsByYear W29843663862022 @default.
- W2984366386 crossrefType "journal-article" @default.
- W2984366386 hasAuthorship W2984366386A5024237919 @default.
- W2984366386 hasConcept C136119220 @default.
- W2984366386 hasConcept C162324750 @default.
- W2984366386 hasConcept C199343813 @default.
- W2984366386 hasConcept C202444582 @default.
- W2984366386 hasConcept C2777303404 @default.
- W2984366386 hasConcept C2777686260 @default.
- W2984366386 hasConcept C28826006 @default.
- W2984366386 hasConcept C33923547 @default.
- W2984366386 hasConcept C50522688 @default.
- W2984366386 hasConcept C71924100 @default.
- W2984366386 hasConceptScore W2984366386C136119220 @default.
- W2984366386 hasConceptScore W2984366386C162324750 @default.
- W2984366386 hasConceptScore W2984366386C199343813 @default.
- W2984366386 hasConceptScore W2984366386C202444582 @default.
- W2984366386 hasConceptScore W2984366386C2777303404 @default.
- W2984366386 hasConceptScore W2984366386C2777686260 @default.
- W2984366386 hasConceptScore W2984366386C28826006 @default.
- W2984366386 hasConceptScore W2984366386C33923547 @default.
- W2984366386 hasConceptScore W2984366386C50522688 @default.
- W2984366386 hasConceptScore W2984366386C71924100 @default.
- W2984366386 hasFunder F4320322674 @default.
- W2984366386 hasIssue "4" @default.
- W2984366386 hasLocation W29843663861 @default.
- W2984366386 hasOpenAccess W2984366386 @default.
- W2984366386 hasPrimaryLocation W29843663861 @default.
- W2984366386 hasRelatedWork W1506216622 @default.
- W2984366386 hasRelatedWork W1985163180 @default.
- W2984366386 hasRelatedWork W1987033902 @default.
- W2984366386 hasRelatedWork W2063488590 @default.
- W2984366386 hasRelatedWork W2090649758 @default.
- W2984366386 hasRelatedWork W2096243008 @default.
- W2984366386 hasRelatedWork W2207380610 @default.
- W2984366386 hasRelatedWork W2298446516 @default.
- W2984366386 hasRelatedWork W3126152140 @default.
- W2984366386 hasRelatedWork W4230623537 @default.
- W2984366386 hasVolume "40" @default.
- W2984366386 isParatext "false" @default.
- W2984366386 isRetracted "false" @default.
- W2984366386 magId "2984366386" @default.
- W2984366386 workType "article" @default.