Matches in SemOpenAlex for { <https://semopenalex.org/work/W4296159969> ?p ?o ?g. }
Showing items 1 to 65 of
65
with 100 items per page.
- W4296159969 endingPage "552" @default.
- W4296159969 startingPage "513" @default.
- W4296159969 abstract "Abstract We derive novel explicit formulas for the inverses of truncated block Toeplitz matrices that correspond to a multivariate minimal stationary process. The main ingredients of the formulas are the Fourier coefficients of the phase function attached to the spectral density of the process. The derivation of the formulas is based on a recently developed finite prediction theory applied to the dual process of the stationary process. We illustrate the usefulness of the formulas by two applications. The first one is a strong convergence result for solutions of general block Toeplitz systems for a multivariate short-memory process. The second application is closed-form formulas for the inverses of truncated block Toeplitz matrices corresponding to a multivariate ARMA process. The significance of the latter is that they provide us with a linear-time algorithm to compute the solutions of corresponding block Toeplitz systems." @default.
- W4296159969 created "2022-09-18" @default.
- W4296159969 creator A5069633641 @default.
- W4296159969 date "2022-09-02" @default.
- W4296159969 modified "2023-09-26" @default.
- W4296159969 title "Explicit formulas for the inverses of Toeplitz matrices, with applications" @default.
- W4296159969 cites W1550150926 @default.
- W4296159969 cites W1575833827 @default.
- W4296159969 cites W1634521568 @default.
- W4296159969 cites W1656624573 @default.
- W4296159969 cites W1975379694 @default.
- W4296159969 cites W2016197810 @default.
- W4296159969 cites W2883192626 @default.
- W4296159969 cites W2924361325 @default.
- W4296159969 cites W2952465447 @default.
- W4296159969 cites W2964190519 @default.
- W4296159969 cites W2964343672 @default.
- W4296159969 cites W3000400773 @default.
- W4296159969 cites W3104881366 @default.
- W4296159969 cites W3212452912 @default.
- W4296159969 cites W4237966721 @default.
- W4296159969 cites W4292963524 @default.
- W4296159969 doi "https://doi.org/10.1007/s00440-022-01162-9" @default.
- W4296159969 hasPublicationYear "2022" @default.
- W4296159969 type Work @default.
- W4296159969 citedByCount "1" @default.
- W4296159969 countsByYear W42961599692022 @default.
- W4296159969 crossrefType "journal-article" @default.
- W4296159969 hasAuthorship W4296159969A5069633641 @default.
- W4296159969 hasBestOaLocation W42961599691 @default.
- W4296159969 hasConcept C114614502 @default.
- W4296159969 hasConcept C122212055 @default.
- W4296159969 hasConcept C147710293 @default.
- W4296159969 hasConcept C202444582 @default.
- W4296159969 hasConcept C2777210771 @default.
- W4296159969 hasConcept C28826006 @default.
- W4296159969 hasConcept C33923547 @default.
- W4296159969 hasConceptScore W4296159969C114614502 @default.
- W4296159969 hasConceptScore W4296159969C122212055 @default.
- W4296159969 hasConceptScore W4296159969C147710293 @default.
- W4296159969 hasConceptScore W4296159969C202444582 @default.
- W4296159969 hasConceptScore W4296159969C2777210771 @default.
- W4296159969 hasConceptScore W4296159969C28826006 @default.
- W4296159969 hasConceptScore W4296159969C33923547 @default.
- W4296159969 hasIssue "1-2" @default.
- W4296159969 hasLocation W42961599691 @default.
- W4296159969 hasLocation W42961599692 @default.
- W4296159969 hasOpenAccess W4296159969 @default.
- W4296159969 hasPrimaryLocation W42961599691 @default.
- W4296159969 hasRelatedWork W2043507023 @default.
- W4296159969 hasRelatedWork W2072134949 @default.
- W4296159969 hasRelatedWork W2165390524 @default.
- W4296159969 hasRelatedWork W2521373673 @default.
- W4296159969 hasRelatedWork W2525119106 @default.
- W4296159969 hasRelatedWork W2730112619 @default.
- W4296159969 hasRelatedWork W2894949826 @default.
- W4296159969 hasRelatedWork W2937622989 @default.
- W4296159969 hasRelatedWork W4213149148 @default.
- W4296159969 hasRelatedWork W4379472632 @default.
- W4296159969 hasVolume "185" @default.
- W4296159969 isParatext "false" @default.
- W4296159969 isRetracted "false" @default.
- W4296159969 workType "article" @default.