Matches in SemOpenAlex for { <https://semopenalex.org/work/W66687079> ?p ?o ?g. }
Showing items 1 to 81 of
81
with 100 items per page.
- W66687079 abstract "When computing eigenvalues of symmetric matrices and singular values of general matrices in finite precision arithmetic we in general only expect to compute them with an error bound proportional to the product of machine precision and the norm of the matrix. In particular, we do not expect to compute tiny eigenvalues and singular values to high relative accuracy. There are some important classes of matrices where we can do much better, including bidiagonal matrices, scaled diagonally dominant matrices, and scaled diagonally dominant definite pencils. These classes include many graded matrices, and all symmetric positive definite matrices which can be consistently ordered (and thus all symmetric positive definite tridiagonal matrices). In particular, the singular values and eigenvalues are determined to high relative precision independent of their magnitudes, and there are algorithms to compute them this accurately. The eigenvectors are also determined more accurately than for general matrices, and may be computed more accurately as well. This work extends results of Kahan and Demmel for bidiagnoal and tridiagonal matrices. 17 refs." @default.
- W66687079 created "2016-06-24" @default.
- W66687079 creator A5033542875 @default.
- W66687079 creator A5091434158 @default.
- W66687079 date "1988-12-01" @default.
- W66687079 modified "2023-09-27" @default.
- W66687079 title "Computing accurate eigensystems of scaled diagonally dominant matrices: LAPACK working note No. 7" @default.
- W66687079 hasPublicationYear "1988" @default.
- W66687079 type Work @default.
- W66687079 sameAs 66687079 @default.
- W66687079 citedByCount "0" @default.
- W66687079 crossrefType "journal-article" @default.
- W66687079 hasAuthorship W66687079A5033542875 @default.
- W66687079 hasAuthorship W66687079A5091434158 @default.
- W66687079 hasConcept C106487976 @default.
- W66687079 hasConcept C109282560 @default.
- W66687079 hasConcept C121332964 @default.
- W66687079 hasConcept C130367717 @default.
- W66687079 hasConcept C136119220 @default.
- W66687079 hasConcept C139352143 @default.
- W66687079 hasConcept C158693339 @default.
- W66687079 hasConcept C159985019 @default.
- W66687079 hasConcept C192562407 @default.
- W66687079 hasConcept C202444582 @default.
- W66687079 hasConcept C2524010 @default.
- W66687079 hasConcept C28826006 @default.
- W66687079 hasConcept C33923547 @default.
- W66687079 hasConcept C49712288 @default.
- W66687079 hasConcept C51647924 @default.
- W66687079 hasConcept C54848796 @default.
- W66687079 hasConcept C62520636 @default.
- W66687079 hasConcept C84507854 @default.
- W66687079 hasConcept C92207270 @default.
- W66687079 hasConcept C96442724 @default.
- W66687079 hasConceptScore W66687079C106487976 @default.
- W66687079 hasConceptScore W66687079C109282560 @default.
- W66687079 hasConceptScore W66687079C121332964 @default.
- W66687079 hasConceptScore W66687079C130367717 @default.
- W66687079 hasConceptScore W66687079C136119220 @default.
- W66687079 hasConceptScore W66687079C139352143 @default.
- W66687079 hasConceptScore W66687079C158693339 @default.
- W66687079 hasConceptScore W66687079C159985019 @default.
- W66687079 hasConceptScore W66687079C192562407 @default.
- W66687079 hasConceptScore W66687079C202444582 @default.
- W66687079 hasConceptScore W66687079C2524010 @default.
- W66687079 hasConceptScore W66687079C28826006 @default.
- W66687079 hasConceptScore W66687079C33923547 @default.
- W66687079 hasConceptScore W66687079C49712288 @default.
- W66687079 hasConceptScore W66687079C51647924 @default.
- W66687079 hasConceptScore W66687079C54848796 @default.
- W66687079 hasConceptScore W66687079C62520636 @default.
- W66687079 hasConceptScore W66687079C84507854 @default.
- W66687079 hasConceptScore W66687079C92207270 @default.
- W66687079 hasConceptScore W66687079C96442724 @default.
- W66687079 hasLocation W666870791 @default.
- W66687079 hasOpenAccess W66687079 @default.
- W66687079 hasPrimaryLocation W666870791 @default.
- W66687079 hasRelatedWork W1561418639 @default.
- W66687079 hasRelatedWork W2017918655 @default.
- W66687079 hasRelatedWork W2065640750 @default.
- W66687079 hasRelatedWork W20717103 @default.
- W66687079 hasRelatedWork W2082523211 @default.
- W66687079 hasRelatedWork W2129674542 @default.
- W66687079 hasRelatedWork W2185965582 @default.
- W66687079 hasRelatedWork W2286160011 @default.
- W66687079 hasRelatedWork W2478408719 @default.
- W66687079 hasRelatedWork W2495420104 @default.
- W66687079 hasRelatedWork W2506642184 @default.
- W66687079 hasRelatedWork W2516023235 @default.
- W66687079 hasRelatedWork W2587608755 @default.
- W66687079 hasRelatedWork W2770218907 @default.
- W66687079 hasRelatedWork W2774506481 @default.
- W66687079 hasRelatedWork W2956426018 @default.
- W66687079 hasRelatedWork W2969843851 @default.
- W66687079 hasRelatedWork W3013106083 @default.
- W66687079 hasRelatedWork W3165296918 @default.
- W66687079 hasRelatedWork W2128308227 @default.
- W66687079 isParatext "false" @default.
- W66687079 isRetracted "false" @default.
- W66687079 magId "66687079" @default.
- W66687079 workType "article" @default.