Matches in SemOpenAlex for { <https://semopenalex.org/work/W2998976298> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W2998976298 endingPage "1352" @default.
- W2998976298 startingPage "1335" @default.
- W2998976298 abstract "The article discusses the matrices of the form A1n, Amn, AmN, whose inverses are: tridiagonal matrix A-1n (n - dimension of the A-mn matrix), banded matrix A-mn (m is the half-width band of the matrix) or block-tridiagonal matrix A-m N (N = n x m - full dimension of the block matrix; m - the dimension of the blocks) and their relationships with the covariance matrices of measurements with ordinary (simple) Markov Random Processes (MRP), multiconnected MRP and vector MRP, respectively. Such covariance matrices frequently occur in the problems of optimal filtering, extrapolation and interpolation of MRP and Markov Random Fields (MRF). It is shown, that the structures of the matrices A1n, Amn, AmN have the same form, but the matrix elements in the first case are scalar quantities; in the second case matrix elements represent a product of vectors of dimension m; and in the third case, the off-diagonal elements are the product of matrices and vectors of dimension m. The properties of such matrices were investigated and a simple formulas of their inverses were found. Also computational efficiency in the storage and the inverse of such matrices have been considered. To illustrate the acquired results, an example on the covariance matrix inversions of two-dimensional MRP is given." @default.
- W2998976298 created "2020-01-23" @default.
- W2998976298 creator A5037973126 @default.
- W2998976298 date "2019-01-01" @default.
- W2998976298 modified "2023-09-27" @default.
- W2998976298 title "Matrices whose inverses are tridiagonal, band or block-tridiagonal and their relationship with the covariance matrices of a random Markov process" @default.
- W2998976298 cites W2018201045 @default.
- W2998976298 cites W2065205300 @default.
- W2998976298 cites W2117373491 @default.
- W2998976298 cites W2143082178 @default.
- W2998976298 cites W2561744929 @default.
- W2998976298 cites W2610857016 @default.
- W2998976298 cites W398579329 @default.
- W2998976298 cites W813874903 @default.
- W2998976298 doi "https://doi.org/10.2298/fil1905335b" @default.
- W2998976298 hasPublicationYear "2019" @default.
- W2998976298 type Work @default.
- W2998976298 sameAs 2998976298 @default.
- W2998976298 citedByCount "0" @default.
- W2998976298 crossrefType "journal-article" @default.
- W2998976298 hasAuthorship W2998976298A5037973126 @default.
- W2998976298 hasBestOaLocation W29989762981 @default.
- W2998976298 hasConcept C105795698 @default.
- W2998976298 hasConcept C106487976 @default.
- W2998976298 hasConcept C114614502 @default.
- W2998976298 hasConcept C121332964 @default.
- W2998976298 hasConcept C158693339 @default.
- W2998976298 hasConcept C159985019 @default.
- W2998976298 hasConcept C178650346 @default.
- W2998976298 hasConcept C192562407 @default.
- W2998976298 hasConcept C28826006 @default.
- W2998976298 hasConcept C33343441 @default.
- W2998976298 hasConcept C33676613 @default.
- W2998976298 hasConcept C33923547 @default.
- W2998976298 hasConcept C51647924 @default.
- W2998976298 hasConcept C54848796 @default.
- W2998976298 hasConcept C62520636 @default.
- W2998976298 hasConcept C69044650 @default.
- W2998976298 hasConcept C85817219 @default.
- W2998976298 hasConcept C98763669 @default.
- W2998976298 hasConceptScore W2998976298C105795698 @default.
- W2998976298 hasConceptScore W2998976298C106487976 @default.
- W2998976298 hasConceptScore W2998976298C114614502 @default.
- W2998976298 hasConceptScore W2998976298C121332964 @default.
- W2998976298 hasConceptScore W2998976298C158693339 @default.
- W2998976298 hasConceptScore W2998976298C159985019 @default.
- W2998976298 hasConceptScore W2998976298C178650346 @default.
- W2998976298 hasConceptScore W2998976298C192562407 @default.
- W2998976298 hasConceptScore W2998976298C28826006 @default.
- W2998976298 hasConceptScore W2998976298C33343441 @default.
- W2998976298 hasConceptScore W2998976298C33676613 @default.
- W2998976298 hasConceptScore W2998976298C33923547 @default.
- W2998976298 hasConceptScore W2998976298C51647924 @default.
- W2998976298 hasConceptScore W2998976298C54848796 @default.
- W2998976298 hasConceptScore W2998976298C62520636 @default.
- W2998976298 hasConceptScore W2998976298C69044650 @default.
- W2998976298 hasConceptScore W2998976298C85817219 @default.
- W2998976298 hasConceptScore W2998976298C98763669 @default.
- W2998976298 hasIssue "5" @default.
- W2998976298 hasLocation W29989762981 @default.
- W2998976298 hasOpenAccess W2998976298 @default.
- W2998976298 hasPrimaryLocation W29989762981 @default.
- W2998976298 hasRelatedWork W2008007934 @default.
- W2998976298 hasRelatedWork W2046494427 @default.
- W2998976298 hasRelatedWork W2054962314 @default.
- W2998976298 hasRelatedWork W2103943585 @default.
- W2998976298 hasRelatedWork W233188489 @default.
- W2998976298 hasRelatedWork W2353337315 @default.
- W2998976298 hasRelatedWork W2353764123 @default.
- W2998976298 hasRelatedWork W2358629369 @default.
- W2998976298 hasRelatedWork W2361786476 @default.
- W2998976298 hasRelatedWork W1961733612 @default.
- W2998976298 hasVolume "33" @default.
- W2998976298 isParatext "false" @default.
- W2998976298 isRetracted "false" @default.
- W2998976298 magId "2998976298" @default.
- W2998976298 workType "article" @default.