Matches in SemOpenAlex for { <https://semopenalex.org/work/W109138304> ?p ?o ?g. }
Showing items 1 to 100 of
100
with 100 items per page.
- W109138304 abstract "Publisher Summary Current interest in analog computation and neural networks has motivated the investigation of matrix eigenvalue problems via eigenvalue preserving differential equations. An example is Brockett's recent work on a double Lie bracket quadratic matrix differential equation with applications to matrix diagonalization, sorting and linear programming. Another example is the Toda flow as well as many other classical completely integrable Hamiltonian systems. Such isospectral flows appear to be a useful tool for solving matrix eigenvahe problems. Moreover, generalizations of such flows are able to compute the singular value decomposition of arbitrary rectangular matrices. In neural network theory similar flows have appeared in investigations on learning dynamics for networks achieving the principal component analysis. This chapter attempts to survey these recent developments, with special emphasis on flows solving matrix eigenvalue problems. Discretizations of the flows based on geodesic approximations lead to new, although slowly convergent, algorithms. A modification of such schemes leads to a new Jacobi type algorithm, which is shown to be quadratically convergent." @default.
- W109138304 created "2016-06-24" @default.
- W109138304 creator A5018855024 @default.
- W109138304 date "1995-01-01" @default.
- W109138304 modified "2023-09-26" @default.
- W109138304 title "Isospectral matrix flows for numerical analysis" @default.
- W109138304 cites W110112130 @default.
- W109138304 cites W1742709735 @default.
- W109138304 cites W1965096897 @default.
- W109138304 cites W1970459238 @default.
- W109138304 cites W1983276213 @default.
- W109138304 cites W1991629562 @default.
- W109138304 cites W2006409409 @default.
- W109138304 cites W2008201725 @default.
- W109138304 cites W2011889975 @default.
- W109138304 cites W2036229744 @default.
- W109138304 cites W2046139360 @default.
- W109138304 cites W2046824594 @default.
- W109138304 cites W2054478385 @default.
- W109138304 cites W2058055450 @default.
- W109138304 cites W2058893615 @default.
- W109138304 cites W2064404969 @default.
- W109138304 cites W2071874523 @default.
- W109138304 cites W2082325315 @default.
- W109138304 cites W2083960709 @default.
- W109138304 cites W2126479355 @default.
- W109138304 cites W2133776435 @default.
- W109138304 cites W2152004476 @default.
- W109138304 cites W2156411231 @default.
- W109138304 cites W2171393177 @default.
- W109138304 cites W2798909945 @default.
- W109138304 cites W986585963 @default.
- W109138304 doi "https://doi.org/10.1016/b978-044482107-2/50004-2" @default.
- W109138304 hasPublicationYear "1995" @default.
- W109138304 type Work @default.
- W109138304 sameAs 109138304 @default.
- W109138304 citedByCount "3" @default.
- W109138304 crossrefType "book-chapter" @default.
- W109138304 hasAuthorship W109138304A5018855024 @default.
- W109138304 hasConcept C106487976 @default.
- W109138304 hasConcept C121332964 @default.
- W109138304 hasConcept C134306372 @default.
- W109138304 hasConcept C136119220 @default.
- W109138304 hasConcept C158693339 @default.
- W109138304 hasConcept C159985019 @default.
- W109138304 hasConcept C192562407 @default.
- W109138304 hasConcept C202444582 @default.
- W109138304 hasConcept C203616005 @default.
- W109138304 hasConcept C2779710842 @default.
- W109138304 hasConcept C28826006 @default.
- W109138304 hasConcept C30072841 @default.
- W109138304 hasConcept C33923547 @default.
- W109138304 hasConcept C51544822 @default.
- W109138304 hasConcept C54848796 @default.
- W109138304 hasConcept C62520636 @default.
- W109138304 hasConcept C78045399 @default.
- W109138304 hasConceptScore W109138304C106487976 @default.
- W109138304 hasConceptScore W109138304C121332964 @default.
- W109138304 hasConceptScore W109138304C134306372 @default.
- W109138304 hasConceptScore W109138304C136119220 @default.
- W109138304 hasConceptScore W109138304C158693339 @default.
- W109138304 hasConceptScore W109138304C159985019 @default.
- W109138304 hasConceptScore W109138304C192562407 @default.
- W109138304 hasConceptScore W109138304C202444582 @default.
- W109138304 hasConceptScore W109138304C203616005 @default.
- W109138304 hasConceptScore W109138304C2779710842 @default.
- W109138304 hasConceptScore W109138304C28826006 @default.
- W109138304 hasConceptScore W109138304C30072841 @default.
- W109138304 hasConceptScore W109138304C33923547 @default.
- W109138304 hasConceptScore W109138304C51544822 @default.
- W109138304 hasConceptScore W109138304C54848796 @default.
- W109138304 hasConceptScore W109138304C62520636 @default.
- W109138304 hasConceptScore W109138304C78045399 @default.
- W109138304 hasLocation W1091383041 @default.
- W109138304 hasOpenAccess W109138304 @default.
- W109138304 hasPrimaryLocation W1091383041 @default.
- W109138304 hasRelatedWork W1511899062 @default.
- W109138304 hasRelatedWork W2045420219 @default.
- W109138304 hasRelatedWork W2060924450 @default.
- W109138304 hasRelatedWork W2070259847 @default.
- W109138304 hasRelatedWork W2074544181 @default.
- W109138304 hasRelatedWork W2156346912 @default.
- W109138304 hasRelatedWork W2159897286 @default.
- W109138304 hasRelatedWork W2291829603 @default.
- W109138304 hasRelatedWork W237418930 @default.
- W109138304 hasRelatedWork W2376183656 @default.
- W109138304 hasRelatedWork W2514471315 @default.
- W109138304 hasRelatedWork W2558581641 @default.
- W109138304 hasRelatedWork W2783894955 @default.
- W109138304 hasRelatedWork W3003391692 @default.
- W109138304 hasRelatedWork W3004265602 @default.
- W109138304 hasRelatedWork W3088304605 @default.
- W109138304 hasRelatedWork W3137217533 @default.
- W109138304 hasRelatedWork W3143959752 @default.
- W109138304 hasRelatedWork W428652890 @default.
- W109138304 hasRelatedWork W66325245 @default.
- W109138304 isParatext "false" @default.
- W109138304 isRetracted "false" @default.
- W109138304 magId "109138304" @default.
- W109138304 workType "book-chapter" @default.