Matches in SemOpenAlex for { <https://semopenalex.org/work/W2014047079> ?p ?o ?g. }
- W2014047079 endingPage "417" @default.
- W2014047079 startingPage "396" @default.
- W2014047079 abstract "Families of matrices smoothly depending on a vector of parameters are considered. Arnold [Russian Math. Surveys, 26 (1971), pp. 29--43] and Galin [Uspekhi Mat. Nauk, 27 (1972), pp. 241--242] have found and listed normal forms of families of complex and real matrices (miniversal deformations), to which any family of matrices can be transformed in the vicinity of a point in the parameter space by a change of basis, smoothly dependent on a vector of parameters, and by a smooth change of parameters. In this paper a constructive method of determining functions describing a change of basis and a change of parameters, transforming an arbitrary family to the miniversal deformation, is suggested. Derivatives of these functions with respect to parameters are determined from a recurrent procedure using derivatives of the functions of lower orders and derivatives of the family of matrices. Then the functions are found as Taylor series. Examples are given. The suggested method allows using efficiently miniversal deformations for investigation of different properties of matrix families. This is shown in the paper where tangent cones (linear approximations) to the stability domain at the singular boundary points are found." @default.
- W2014047079 created "2016-06-24" @default.
- W2014047079 creator A5061354354 @default.
- W2014047079 date "2000-01-01" @default.
- W2014047079 modified "2023-10-17" @default.
- W2014047079 title "Transformation of Families of Matrices to Normal Forms and its Application to Stability Theory" @default.
- W2014047079 cites W1966501068 @default.
- W2014047079 cites W1967884132 @default.
- W2014047079 cites W1993068751 @default.
- W2014047079 cites W2012593533 @default.
- W2014047079 cites W2036312716 @default.
- W2014047079 cites W2044040807 @default.
- W2014047079 cites W2047202882 @default.
- W2014047079 cites W2069576326 @default.
- W2014047079 cites W2073847298 @default.
- W2014047079 cites W2128949314 @default.
- W2014047079 cites W2128978199 @default.
- W2014047079 doi "https://doi.org/10.1137/s0895479898338378" @default.
- W2014047079 hasPublicationYear "2000" @default.
- W2014047079 type Work @default.
- W2014047079 sameAs 2014047079 @default.
- W2014047079 citedByCount "23" @default.
- W2014047079 countsByYear W20140470792012 @default.
- W2014047079 countsByYear W20140470792013 @default.
- W2014047079 countsByYear W20140470792014 @default.
- W2014047079 countsByYear W20140470792015 @default.
- W2014047079 countsByYear W20140470792016 @default.
- W2014047079 countsByYear W20140470792017 @default.
- W2014047079 countsByYear W20140470792019 @default.
- W2014047079 countsByYear W20140470792020 @default.
- W2014047079 crossrefType "journal-article" @default.
- W2014047079 hasAuthorship W2014047079A5061354354 @default.
- W2014047079 hasBestOaLocation W20140470792 @default.
- W2014047079 hasConcept C104317684 @default.
- W2014047079 hasConcept C106487976 @default.
- W2014047079 hasConcept C111919701 @default.
- W2014047079 hasConcept C112972136 @default.
- W2014047079 hasConcept C119857082 @default.
- W2014047079 hasConcept C121332964 @default.
- W2014047079 hasConcept C12426560 @default.
- W2014047079 hasConcept C13336665 @default.
- W2014047079 hasConcept C134306372 @default.
- W2014047079 hasConcept C138187205 @default.
- W2014047079 hasConcept C143724316 @default.
- W2014047079 hasConcept C149488123 @default.
- W2014047079 hasConcept C151730666 @default.
- W2014047079 hasConcept C157157409 @default.
- W2014047079 hasConcept C158693339 @default.
- W2014047079 hasConcept C159985019 @default.
- W2014047079 hasConcept C185592680 @default.
- W2014047079 hasConcept C192562407 @default.
- W2014047079 hasConcept C202444582 @default.
- W2014047079 hasConcept C204241405 @default.
- W2014047079 hasConcept C2524010 @default.
- W2014047079 hasConcept C2778701210 @default.
- W2014047079 hasConcept C33923547 @default.
- W2014047079 hasConcept C36503486 @default.
- W2014047079 hasConcept C41008148 @default.
- W2014047079 hasConcept C55493867 @default.
- W2014047079 hasConcept C62354387 @default.
- W2014047079 hasConcept C62520636 @default.
- W2014047079 hasConcept C86803240 @default.
- W2014047079 hasConcept C98045186 @default.
- W2014047079 hasConceptScore W2014047079C104317684 @default.
- W2014047079 hasConceptScore W2014047079C106487976 @default.
- W2014047079 hasConceptScore W2014047079C111919701 @default.
- W2014047079 hasConceptScore W2014047079C112972136 @default.
- W2014047079 hasConceptScore W2014047079C119857082 @default.
- W2014047079 hasConceptScore W2014047079C121332964 @default.
- W2014047079 hasConceptScore W2014047079C12426560 @default.
- W2014047079 hasConceptScore W2014047079C13336665 @default.
- W2014047079 hasConceptScore W2014047079C134306372 @default.
- W2014047079 hasConceptScore W2014047079C138187205 @default.
- W2014047079 hasConceptScore W2014047079C143724316 @default.
- W2014047079 hasConceptScore W2014047079C149488123 @default.
- W2014047079 hasConceptScore W2014047079C151730666 @default.
- W2014047079 hasConceptScore W2014047079C157157409 @default.
- W2014047079 hasConceptScore W2014047079C158693339 @default.
- W2014047079 hasConceptScore W2014047079C159985019 @default.
- W2014047079 hasConceptScore W2014047079C185592680 @default.
- W2014047079 hasConceptScore W2014047079C192562407 @default.
- W2014047079 hasConceptScore W2014047079C202444582 @default.
- W2014047079 hasConceptScore W2014047079C204241405 @default.
- W2014047079 hasConceptScore W2014047079C2524010 @default.
- W2014047079 hasConceptScore W2014047079C2778701210 @default.
- W2014047079 hasConceptScore W2014047079C33923547 @default.
- W2014047079 hasConceptScore W2014047079C36503486 @default.
- W2014047079 hasConceptScore W2014047079C41008148 @default.
- W2014047079 hasConceptScore W2014047079C55493867 @default.
- W2014047079 hasConceptScore W2014047079C62354387 @default.
- W2014047079 hasConceptScore W2014047079C62520636 @default.
- W2014047079 hasConceptScore W2014047079C86803240 @default.
- W2014047079 hasConceptScore W2014047079C98045186 @default.
- W2014047079 hasIssue "2" @default.
- W2014047079 hasLocation W20140470791 @default.
- W2014047079 hasLocation W20140470792 @default.
- W2014047079 hasOpenAccess W2014047079 @default.
- W2014047079 hasPrimaryLocation W20140470791 @default.