FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1989369020> ?p ?o ?g. }

• W1989369020 endingPage "377" @default.
• W1989369020 startingPage "345" @default.
• W1989369020 abstract "We present a new technique, based on polynomial continuation, for solving systems of $n$ polynomials in $N$ complex variables. The method allows equations to be introduced one-by-one or in groups, obtaining at each stage a representation of the solution set that can be extended to the next stage until finally obtaining the solution set for the entire system. At any stage where positive dimensional solution components must be found, they are sliced down to isolated points by the introduction of hyperplanes. By moving these hyperplanes, one may build up the solution set to an intermediate system in which a union of hyperplanes “regenerates” the intersection of the component with the variety of the polynomial (or system of polynomials) brought in at the next stage. The theory underlying the approach guarantees that homotopy paths lead to all isolated solutions, and this capability can be used to generate witness supersets for solution components at any dimension, the first step in computing an irreducible decomposition of the solution set of a system of polynomial equations. The method is illustrated on several challenging problems, where it proves advantageous over both the polyhedral homotopy method and the diagonal equation-by-equation method, formerly the two leading approaches to solving sparse polynomial systems by numerical continuation." @default.
• W1989369020 created "2016-06-24" @default.
• W1989369020 creator A5007214938 @default.
• W1989369020 creator A5039450473 @default.
• W1989369020 creator A5050683196 @default.
• W1989369020 date "2010-06-09" @default.
• W1989369020 modified "2023-09-30" @default.
• W1989369020 title "Regeneration homotopies for solving systems of polynomials" @default.
• W1989369020 cites W1515368919 @default.
• W1989369020 cites W1521050514 @default.
• W1989369020 cites W1545974066 @default.
• W1989369020 cites W1570420806 @default.
• W1989369020 cites W1645810705 @default.
• W1989369020 cites W1676198905 @default.
• W1989369020 cites W1965520434 @default.
• W1989369020 cites W1969041762 @default.
• W1989369020 cites W1972632202 @default.
• W1989369020 cites W1978946312 @default.
• W1989369020 cites W1983443215 @default.
• W1989369020 cites W1984396462 @default.
• W1989369020 cites W1989923040 @default.
• W1989369020 cites W2007860444 @default.
• W1989369020 cites W2009126887 @default.
• W1989369020 cites W2028576930 @default.
• W1989369020 cites W2033397405 @default.
• W1989369020 cites W2033936708 @default.
• W1989369020 cites W2034955763 @default.
• W1989369020 cites W2035352599 @default.
• W1989369020 cites W2050292516 @default.
• W1989369020 cites W2052195169 @default.
• W1989369020 cites W2066058234 @default.
• W1989369020 cites W2067437385 @default.
• W1989369020 cites W2071860648 @default.
• W1989369020 cites W2076067331 @default.
• W1989369020 cites W2083261573 @default.
• W1989369020 cites W2086808289 @default.
• W1989369020 cites W2105303994 @default.
• W1989369020 cites W2146632936 @default.
• W1989369020 cites W2158358539 @default.
• W1989369020 cites W2158639671 @default.
• W1989369020 cites W2168776222 @default.
• W1989369020 cites W2170485468 @default.
• W1989369020 cites W2323879535 @default.
• W1989369020 cites W2326878727 @default.
• W1989369020 cites W2500166908 @default.
• W1989369020 cites W596131791 @default.
• W1989369020 cites W597145328 @default.
• W1989369020 doi "https://doi.org/10.1090/s0025-5718-2010-02399-3" @default.
• W1989369020 hasPublicationYear "2010" @default.
• W1989369020 type Work @default.
• W1989369020 sameAs 1989369020 @default.
• W1989369020 citedByCount "92" @default.
• W1989369020 countsByYear W19893690202012 @default.
• W1989369020 countsByYear W19893690202013 @default.
• W1989369020 countsByYear W19893690202014 @default.
• W1989369020 countsByYear W19893690202015 @default.
• W1989369020 countsByYear W19893690202016 @default.
• W1989369020 countsByYear W19893690202017 @default.
• W1989369020 countsByYear W19893690202018 @default.
• W1989369020 countsByYear W19893690202019 @default.
• W1989369020 countsByYear W19893690202020 @default.
• W1989369020 countsByYear W19893690202021 @default.
• W1989369020 countsByYear W19893690202022 @default.
• W1989369020 countsByYear W19893690202023 @default.
• W1989369020 crossrefType "journal-article" @default.
• W1989369020 hasAuthorship W1989369020A5007214938 @default.
• W1989369020 hasAuthorship W1989369020A5039450473 @default.
• W1989369020 hasAuthorship W1989369020A5050683196 @default.
• W1989369020 hasBestOaLocation W19893690201 @default.
• W1989369020 hasConcept C105335568 @default.
• W1989369020 hasConcept C114614502 @default.
• W1989369020 hasConcept C127413603 @default.
• W1989369020 hasConcept C134306372 @default.
• W1989369020 hasConcept C136119220 @default.
• W1989369020 hasConcept C146978453 @default.
• W1989369020 hasConcept C177264268 @default.
• W1989369020 hasConcept C199360897 @default.
• W1989369020 hasConcept C202444582 @default.
• W1989369020 hasConcept C28826006 @default.
• W1989369020 hasConcept C33923547 @default.
• W1989369020 hasConcept C41008148 @default.
• W1989369020 hasConcept C5961521 @default.
• W1989369020 hasConcept C60033838 @default.
• W1989369020 hasConcept C64543145 @default.
• W1989369020 hasConcept C68693459 @default.
• W1989369020 hasConcept C90119067 @default.
• W1989369020 hasConceptScore W1989369020C105335568 @default.
• W1989369020 hasConceptScore W1989369020C114614502 @default.
• W1989369020 hasConceptScore W1989369020C127413603 @default.
• W1989369020 hasConceptScore W1989369020C134306372 @default.
• W1989369020 hasConceptScore W1989369020C136119220 @default.
• W1989369020 hasConceptScore W1989369020C146978453 @default.
• W1989369020 hasConceptScore W1989369020C177264268 @default.
• W1989369020 hasConceptScore W1989369020C199360897 @default.
• W1989369020 hasConceptScore W1989369020C202444582 @default.
• W1989369020 hasConceptScore W1989369020C28826006 @default.
• W1989369020 hasConceptScore W1989369020C33923547 @default.
• W1989369020 hasConceptScore W1989369020C41008148 @default.

• next