Matches in SemOpenAlex for { <https://semopenalex.org/work/W2074182014> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W2074182014 endingPage "303" @default.
- W2074182014 startingPage "291" @default.
- W2074182014 abstract "A numerical method is proposed for finding all eigenvalues of symmetric Toeplitz matrices $T_n = ( t_{j - i} )_{ij = 1}^n $, where the ${ t_j }$ are the coefficients in a Laurent expansion of a rational function. Matrices of this kind occur, for example, as covariance matrices of ARMA processes. The technique rests on a representation of the characteristic polynomial as $det ( lambda I_n - T_n ) = W_n G_{0n} G_{1n} $ in which $G_{0n} ( lambda ) = 0$ for the eigenvalues of $T_n $ associated with symmetric eigenvectors, $G_{1n} ( lambda ) = 0$ for those associated with skew-symmetric eigenvectors, both functions are free of extreme variations, and both can be computed with cost independent of n. It is proposed that root finding techniques be used to compute the zeros of $G_{0n} $ and $G_{1n} $. Numerical experiments indicate that the method may be useful." @default.
- W2074182014 created "2016-06-24" @default.
- W2074182014 creator A5033668312 @default.
- W2074182014 date "1988-04-01" @default.
- W2074182014 modified "2023-09-26" @default.
- W2074182014 title "Numerical Solution of the Eigenvalue Problem for Symmetric Rationally Generated Toeplitz matrices" @default.
- W2074182014 cites W1963801504 @default.
- W2074182014 cites W1975547919 @default.
- W2074182014 cites W1976865075 @default.
- W2074182014 cites W2001135093 @default.
- W2074182014 cites W2034773449 @default.
- W2074182014 cites W2040221040 @default.
- W2074182014 cites W2045463928 @default.
- W2074182014 cites W2048922472 @default.
- W2074182014 cites W2058367641 @default.
- W2074182014 cites W2156230547 @default.
- W2074182014 cites W2167208435 @default.
- W2074182014 cites W2195864291 @default.
- W2074182014 doi "https://doi.org/10.1137/0609023" @default.
- W2074182014 hasPublicationYear "1988" @default.
- W2074182014 type Work @default.
- W2074182014 sameAs 2074182014 @default.
- W2074182014 citedByCount "18" @default.
- W2074182014 countsByYear W20741820142018 @default.
- W2074182014 crossrefType "journal-article" @default.
- W2074182014 hasAuthorship W2074182014A5033668312 @default.
- W2074182014 hasConcept C106487976 @default.
- W2074182014 hasConcept C114614502 @default.
- W2074182014 hasConcept C120665830 @default.
- W2074182014 hasConcept C121332964 @default.
- W2074182014 hasConcept C134306372 @default.
- W2074182014 hasConcept C147710293 @default.
- W2074182014 hasConcept C158693339 @default.
- W2074182014 hasConcept C159985019 @default.
- W2074182014 hasConcept C192562407 @default.
- W2074182014 hasConcept C202444582 @default.
- W2074182014 hasConcept C204911207 @default.
- W2074182014 hasConcept C2778113609 @default.
- W2074182014 hasConcept C33923547 @default.
- W2074182014 hasConcept C3746008 @default.
- W2074182014 hasConcept C48753275 @default.
- W2074182014 hasConcept C54848796 @default.
- W2074182014 hasConcept C62520636 @default.
- W2074182014 hasConcept C90119067 @default.
- W2074182014 hasConceptScore W2074182014C106487976 @default.
- W2074182014 hasConceptScore W2074182014C114614502 @default.
- W2074182014 hasConceptScore W2074182014C120665830 @default.
- W2074182014 hasConceptScore W2074182014C121332964 @default.
- W2074182014 hasConceptScore W2074182014C134306372 @default.
- W2074182014 hasConceptScore W2074182014C147710293 @default.
- W2074182014 hasConceptScore W2074182014C158693339 @default.
- W2074182014 hasConceptScore W2074182014C159985019 @default.
- W2074182014 hasConceptScore W2074182014C192562407 @default.
- W2074182014 hasConceptScore W2074182014C202444582 @default.
- W2074182014 hasConceptScore W2074182014C204911207 @default.
- W2074182014 hasConceptScore W2074182014C2778113609 @default.
- W2074182014 hasConceptScore W2074182014C33923547 @default.
- W2074182014 hasConceptScore W2074182014C3746008 @default.
- W2074182014 hasConceptScore W2074182014C48753275 @default.
- W2074182014 hasConceptScore W2074182014C54848796 @default.
- W2074182014 hasConceptScore W2074182014C62520636 @default.
- W2074182014 hasConceptScore W2074182014C90119067 @default.
- W2074182014 hasIssue "2" @default.
- W2074182014 hasLocation W20741820141 @default.
- W2074182014 hasOpenAccess W2074182014 @default.
- W2074182014 hasPrimaryLocation W20741820141 @default.
- W2074182014 hasRelatedWork W1553893319 @default.
- W2074182014 hasRelatedWork W1981012474 @default.
- W2074182014 hasRelatedWork W2052363977 @default.
- W2074182014 hasRelatedWork W2563731323 @default.
- W2074182014 hasRelatedWork W2569096575 @default.
- W2074182014 hasRelatedWork W2983829482 @default.
- W2074182014 hasRelatedWork W3035845077 @default.
- W2074182014 hasRelatedWork W4287754232 @default.
- W2074182014 hasRelatedWork W4288024423 @default.
- W2074182014 hasRelatedWork W2184638702 @default.
- W2074182014 hasVolume "9" @default.
- W2074182014 isParatext "false" @default.
- W2074182014 isRetracted "false" @default.
- W2074182014 magId "2074182014" @default.
- W2074182014 workType "article" @default.