FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W4289778754> ?p ?o ?g. }

• W4289778754 endingPage "265" @default.
• W4289778754 startingPage "248" @default.
• W4289778754 abstract "The first extended greatest common right divisor (GCRD) algorithm for parametric univariate polynomial matrices is presented. The starting point of this GCRD algorithm is the free property of submodules over univariate polynomial rings. We convert the computation of GCRDs to that of free basis for modules and prove that a free basis of the submodule generated by row vectors of input matrices forms just a GCRD of these matrices. The GCRD algorithm is obtained by computing a minimal Gröbner basis for the corresponding submodule since a minimal Gröbner basis of submodules is a free basis for univariate cases. While the key idea of extended algorithm is to construct a special module by adding the unit vectors which can record the representation coefficients. This method based on modules can be naturally generalized to the parametric case because of the comprehensive Gröbner systems for modules. As a consequence, we obtain an extended GCRD algorithm for parametric univariate polynomial matrices. More importantly, we apply the proposed extended GCD algorithm for univariate polynomials (as a special case of matrices) to the computation of Smith normal form, and give the first algorithm for reducing a univariate polynomial matrix with parameters to its Smith normal form." @default.
• W4289778754 created "2022-08-04" @default.
• W4289778754 creator A5000191189 @default.
• W4289778754 creator A5027458220 @default.
• W4289778754 creator A5045096504 @default.
• W4289778754 creator A5059510144 @default.
• W4289778754 date "2023-03-01" @default.
• W4289778754 modified "2023-10-16" @default.
• W4289778754 title "An extended GCRD algorithm for parametric univariate polynomial matrices and application to parametric Smith form" @default.
• W4289778754 cites W1966711586 @default.
• W4289778754 cites W1989675557 @default.
• W4289778754 cites W1994234357 @default.
• W4289778754 cites W2041484863 @default.
• W4289778754 cites W2053029682 @default.
• W4289778754 cites W2057105460 @default.
• W4289778754 cites W2065304692 @default.
• W4289778754 cites W2065989671 @default.
• W4289778754 cites W2070075204 @default.
• W4289778754 cites W2087534451 @default.
• W4289778754 cites W2095764258 @default.
• W4289778754 cites W2113205422 @default.
• W4289778754 cites W2117535139 @default.
• W4289778754 cites W2160464523 @default.
• W4289778754 cites W22319829 @default.
• W4289778754 cites W45707961 @default.
• W4289778754 doi "https://doi.org/10.1016/j.jsc.2022.07.006" @default.
• W4289778754 hasPublicationYear "2023" @default.
• W4289778754 type Work @default.
• W4289778754 citedByCount "0" @default.
• W4289778754 crossrefType "journal-article" @default.
• W4289778754 hasAuthorship W4289778754A5000191189 @default.
• W4289778754 hasAuthorship W4289778754A5027458220 @default.
• W4289778754 hasAuthorship W4289778754A5045096504 @default.
• W4289778754 hasAuthorship W4289778754A5059510144 @default.
• W4289778754 hasConcept C101044782 @default.
• W4289778754 hasConcept C105795698 @default.
• W4289778754 hasConcept C106487976 @default.
• W4289778754 hasConcept C11413529 @default.
• W4289778754 hasConcept C114614502 @default.
• W4289778754 hasConcept C117251300 @default.
• W4289778754 hasConcept C118615104 @default.
• W4289778754 hasConcept C12426560 @default.
• W4289778754 hasConcept C126352355 @default.
• W4289778754 hasConcept C126875415 @default.
• W4289778754 hasConcept C134306372 @default.
• W4289778754 hasConcept C136119220 @default.
• W4289778754 hasConcept C159985019 @default.
• W4289778754 hasConcept C161584116 @default.
• W4289778754 hasConcept C192562407 @default.
• W4289778754 hasConcept C198082693 @default.
• W4289778754 hasConcept C199163554 @default.
• W4289778754 hasConcept C202444582 @default.
• W4289778754 hasConcept C203492994 @default.
• W4289778754 hasConcept C2524010 @default.
• W4289778754 hasConcept C33923547 @default.
• W4289778754 hasConcept C45374587 @default.
• W4289778754 hasConcept C90119067 @default.
• W4289778754 hasConceptScore W4289778754C101044782 @default.
• W4289778754 hasConceptScore W4289778754C105795698 @default.
• W4289778754 hasConceptScore W4289778754C106487976 @default.
• W4289778754 hasConceptScore W4289778754C11413529 @default.
• W4289778754 hasConceptScore W4289778754C114614502 @default.
• W4289778754 hasConceptScore W4289778754C117251300 @default.
• W4289778754 hasConceptScore W4289778754C118615104 @default.
• W4289778754 hasConceptScore W4289778754C12426560 @default.
• W4289778754 hasConceptScore W4289778754C126352355 @default.
• W4289778754 hasConceptScore W4289778754C126875415 @default.
• W4289778754 hasConceptScore W4289778754C134306372 @default.
• W4289778754 hasConceptScore W4289778754C136119220 @default.
• W4289778754 hasConceptScore W4289778754C159985019 @default.
• W4289778754 hasConceptScore W4289778754C161584116 @default.
• W4289778754 hasConceptScore W4289778754C192562407 @default.
• W4289778754 hasConceptScore W4289778754C198082693 @default.
• W4289778754 hasConceptScore W4289778754C199163554 @default.
• W4289778754 hasConceptScore W4289778754C202444582 @default.
• W4289778754 hasConceptScore W4289778754C203492994 @default.
• W4289778754 hasConceptScore W4289778754C2524010 @default.
• W4289778754 hasConceptScore W4289778754C33923547 @default.
• W4289778754 hasConceptScore W4289778754C45374587 @default.
• W4289778754 hasConceptScore W4289778754C90119067 @default.
• W4289778754 hasFunder F4320321001 @default.
• W4289778754 hasFunder F4320321133 @default.
• W4289778754 hasFunder F4320335777 @default.
• W4289778754 hasLocation W42897787541 @default.
• W4289778754 hasOpenAccess W4289778754 @default.
• W4289778754 hasPrimaryLocation W42897787541 @default.
• W4289778754 hasRelatedWork W1537809712 @default.
• W4289778754 hasRelatedWork W1543706171 @default.
• W4289778754 hasRelatedWork W1552451785 @default.
• W4289778754 hasRelatedWork W1992962315 @default.
• W4289778754 hasRelatedWork W2018038902 @default.
• W4289778754 hasRelatedWork W2185931218 @default.
• W4289778754 hasRelatedWork W4200197172 @default.
• W4289778754 hasRelatedWork W4299637348 @default.
• W4289778754 hasRelatedWork W4320482996 @default.
• W4289778754 hasRelatedWork W2187918584 @default.
• W4289778754 hasVolume "115" @default.
• W4289778754 isParatext "false" @default.

• next