Matches in SemOpenAlex for { <https://semopenalex.org/work/W4309957893> ?p ?o ?g. }
Showing items 1 to 64 of
64
with 100 items per page.
- W4309957893 endingPage "136" @default.
- W4309957893 startingPage "103" @default.
- W4309957893 abstract "Multiplication of a vector x in a vector space V by a matrix A changes the direction and magnitude of x. However, for a specific vector, say, u and a scalar λ, multiplication of u by A is equivalent to multiplication of u by λ, that is, there is a change only in magnitude but not in direction of the vector under transformation. This “special” vector is called an eigenvector and its corresponding scalar an eigenvalue of A. Eigenvalues and eigenvectors are associated with square matrices and, together, they facilitate eigendecomposition of a matrix, which analyzes its structure. Fast computation of powers as well as determinants and inverses are facilitated by the diagonalization of matrices. It is helpful to decompose a matrix into factors (matrices) including the diagonalized matrix—the decomposition based on the eigenvalues and eigenvectors of matrices is called eigendecomposition. Singular value decomposition (SVD) generalizes eigendecomposition to rectangular matrices. It decomposes a rectangular matrix into three simple matrices—two orthogonal and a diagonal. Unlike eigendecomposition, in SVD, domain and codomain can be vector spaces of different dimensions." @default.
- W4309957893 created "2022-11-30" @default.
- W4309957893 creator A5025200263 @default.
- W4309957893 date "2023-01-01" @default.
- W4309957893 modified "2023-09-23" @default.
- W4309957893 title "Matrix decomposition" @default.
- W4309957893 doi "https://doi.org/10.1016/b978-0-323-90397-4.00006-8" @default.
- W4309957893 hasPublicationYear "2023" @default.
- W4309957893 type Work @default.
- W4309957893 citedByCount "0" @default.
- W4309957893 crossrefType "book-chapter" @default.
- W4309957893 hasAuthorship W4309957893A5025200263 @default.
- W4309957893 hasConcept C106487976 @default.
- W4309957893 hasConcept C113313756 @default.
- W4309957893 hasConcept C11413529 @default.
- W4309957893 hasConcept C121332964 @default.
- W4309957893 hasConcept C130367717 @default.
- W4309957893 hasConcept C158693339 @default.
- W4309957893 hasConcept C159985019 @default.
- W4309957893 hasConcept C169756996 @default.
- W4309957893 hasConcept C192562407 @default.
- W4309957893 hasConcept C202444582 @default.
- W4309957893 hasConcept C22789450 @default.
- W4309957893 hasConcept C2524010 @default.
- W4309957893 hasConcept C30072841 @default.
- W4309957893 hasConcept C33923547 @default.
- W4309957893 hasConcept C54848796 @default.
- W4309957893 hasConcept C57691317 @default.
- W4309957893 hasConcept C62520636 @default.
- W4309957893 hasConceptScore W4309957893C106487976 @default.
- W4309957893 hasConceptScore W4309957893C113313756 @default.
- W4309957893 hasConceptScore W4309957893C11413529 @default.
- W4309957893 hasConceptScore W4309957893C121332964 @default.
- W4309957893 hasConceptScore W4309957893C130367717 @default.
- W4309957893 hasConceptScore W4309957893C158693339 @default.
- W4309957893 hasConceptScore W4309957893C159985019 @default.
- W4309957893 hasConceptScore W4309957893C169756996 @default.
- W4309957893 hasConceptScore W4309957893C192562407 @default.
- W4309957893 hasConceptScore W4309957893C202444582 @default.
- W4309957893 hasConceptScore W4309957893C22789450 @default.
- W4309957893 hasConceptScore W4309957893C2524010 @default.
- W4309957893 hasConceptScore W4309957893C30072841 @default.
- W4309957893 hasConceptScore W4309957893C33923547 @default.
- W4309957893 hasConceptScore W4309957893C54848796 @default.
- W4309957893 hasConceptScore W4309957893C57691317 @default.
- W4309957893 hasConceptScore W4309957893C62520636 @default.
- W4309957893 hasLocation W43099578931 @default.
- W4309957893 hasOpenAccess W4309957893 @default.
- W4309957893 hasPrimaryLocation W43099578931 @default.
- W4309957893 hasRelatedWork W1976060951 @default.
- W4309957893 hasRelatedWork W2024057825 @default.
- W4309957893 hasRelatedWork W2027178849 @default.
- W4309957893 hasRelatedWork W2041405663 @default.
- W4309957893 hasRelatedWork W2105505928 @default.
- W4309957893 hasRelatedWork W3199192463 @default.
- W4309957893 hasRelatedWork W3199214553 @default.
- W4309957893 hasRelatedWork W4230693194 @default.
- W4309957893 hasRelatedWork W4248016122 @default.
- W4309957893 hasRelatedWork W4365788292 @default.
- W4309957893 isParatext "false" @default.
- W4309957893 isRetracted "false" @default.
- W4309957893 workType "book-chapter" @default.