Matches in SemOpenAlex for { <https://semopenalex.org/work/W134400229> ?p ?o ?g. }
Showing items 1 to 85 of
85
with 100 items per page.
- W134400229 abstract "We consider computing the singular value decomposition of a bidiagonal matrix B. This problem arises in the singular value decomposition of a general matrix, and in the eigenproblem for a symmetric positive definite tridiagonal matrix. We show that if the entries of B are known with high relative accuracy, the singular values and singular vectors of B will be determined to much higher accuracy than the standard perturbation theory suggests. We also show that the algorithm computes the singular vectors as well as the singular values to this accuracy. We also give a Hamiltonian interpretation of the algorithm and use differential equation methods to prove many of the basic facts. The Hamiltonian approach suggests a way to use flows to predict the accumulation of error in other eigenvalue algorithms as well. 36 refs., 2 figs., 2 tabs." @default.
- W134400229 created "2016-06-24" @default.
- W134400229 creator A5055319355 @default.
- W134400229 creator A5068540730 @default.
- W134400229 creator A5077548974 @default.
- W134400229 creator A5091434158 @default.
- W134400229 date "1989-08-01" @default.
- W134400229 modified "2023-09-27" @default.
- W134400229 title "The bidiagonal singular value decomposition and Hamiltonian mechanics: LAPACK working note No. 11" @default.
- W134400229 hasPublicationYear "1989" @default.
- W134400229 type Work @default.
- W134400229 sameAs 134400229 @default.
- W134400229 citedByCount "1" @default.
- W134400229 crossrefType "journal-article" @default.
- W134400229 hasAuthorship W134400229A5055319355 @default.
- W134400229 hasAuthorship W134400229A5068540730 @default.
- W134400229 hasAuthorship W134400229A5077548974 @default.
- W134400229 hasAuthorship W134400229A5091434158 @default.
- W134400229 hasConcept C106487976 @default.
- W134400229 hasConcept C109282560 @default.
- W134400229 hasConcept C11413529 @default.
- W134400229 hasConcept C121332964 @default.
- W134400229 hasConcept C126255220 @default.
- W134400229 hasConcept C130787639 @default.
- W134400229 hasConcept C130956294 @default.
- W134400229 hasConcept C134306372 @default.
- W134400229 hasConcept C135909967 @default.
- W134400229 hasConcept C136119220 @default.
- W134400229 hasConcept C158693339 @default.
- W134400229 hasConcept C159985019 @default.
- W134400229 hasConcept C192562407 @default.
- W134400229 hasConcept C202444582 @default.
- W134400229 hasConcept C22789450 @default.
- W134400229 hasConcept C28826006 @default.
- W134400229 hasConcept C29705727 @default.
- W134400229 hasConcept C33923547 @default.
- W134400229 hasConcept C51647924 @default.
- W134400229 hasConcept C62520636 @default.
- W134400229 hasConceptScore W134400229C106487976 @default.
- W134400229 hasConceptScore W134400229C109282560 @default.
- W134400229 hasConceptScore W134400229C11413529 @default.
- W134400229 hasConceptScore W134400229C121332964 @default.
- W134400229 hasConceptScore W134400229C126255220 @default.
- W134400229 hasConceptScore W134400229C130787639 @default.
- W134400229 hasConceptScore W134400229C130956294 @default.
- W134400229 hasConceptScore W134400229C134306372 @default.
- W134400229 hasConceptScore W134400229C135909967 @default.
- W134400229 hasConceptScore W134400229C136119220 @default.
- W134400229 hasConceptScore W134400229C158693339 @default.
- W134400229 hasConceptScore W134400229C159985019 @default.
- W134400229 hasConceptScore W134400229C192562407 @default.
- W134400229 hasConceptScore W134400229C202444582 @default.
- W134400229 hasConceptScore W134400229C22789450 @default.
- W134400229 hasConceptScore W134400229C28826006 @default.
- W134400229 hasConceptScore W134400229C29705727 @default.
- W134400229 hasConceptScore W134400229C33923547 @default.
- W134400229 hasConceptScore W134400229C51647924 @default.
- W134400229 hasConceptScore W134400229C62520636 @default.
- W134400229 hasLocation W1344002291 @default.
- W134400229 hasOpenAccess W134400229 @default.
- W134400229 hasPrimaryLocation W1344002291 @default.
- W134400229 hasRelatedWork W1547981228 @default.
- W134400229 hasRelatedWork W186943531 @default.
- W134400229 hasRelatedWork W2004430968 @default.
- W134400229 hasRelatedWork W2025846538 @default.
- W134400229 hasRelatedWork W2149412820 @default.
- W134400229 hasRelatedWork W2805662176 @default.
- W134400229 hasRelatedWork W2808156977 @default.
- W134400229 hasRelatedWork W2810192932 @default.
- W134400229 hasRelatedWork W2913918789 @default.
- W134400229 hasRelatedWork W2949988474 @default.
- W134400229 hasRelatedWork W2952666375 @default.
- W134400229 hasRelatedWork W2962939379 @default.
- W134400229 hasRelatedWork W2963676741 @default.
- W134400229 hasRelatedWork W2980321764 @default.
- W134400229 hasRelatedWork W2987922230 @default.
- W134400229 hasRelatedWork W2995288288 @default.
- W134400229 hasRelatedWork W3016385159 @default.
- W134400229 hasRelatedWork W3207962373 @default.
- W134400229 hasRelatedWork W3213429058 @default.
- W134400229 hasRelatedWork W2241211102 @default.
- W134400229 isParatext "false" @default.
- W134400229 isRetracted "false" @default.
- W134400229 magId "134400229" @default.
- W134400229 workType "article" @default.