메뉴 건너뛰기




Volumn 446, Issue , 2016, Pages 499-526

Duality of multiple root loci

Author keywords

Conormal variety; Dual variety; ED degree; Multiple root; Real rank

Indexed keywords


EID: 84946595445     PISSN: 00218693     EISSN: 1090266X     Source Type: Journal    
DOI: 10.1016/j.jalgebra.2015.08.029     Document Type: Article
Times cited : (29)

References (24)
  • 1
    • 33750626027 scopus 로고    scopus 로고
    • Brill-Gordan loci, transvectants and an analogue of the Foulkes conjecture
    • Abdesselam A., Chipalkatti J. Brill-Gordan loci, transvectants and an analogue of the Foulkes conjecture. Adv. Math. 2007, 208:491-520.
    • (2007) Adv. Math. , vol.208 , pp. 491-520
    • Abdesselam, A.1    Chipalkatti, J.2
  • 2
    • 33747734649 scopus 로고    scopus 로고
    • The bipartite Brill-Gordan locus and angular momentum
    • Abdesselam A., Chipalkatti J. The bipartite Brill-Gordan locus and angular momentum. Transform. Groups 2006, 11:341-370.
    • (2006) Transform. Groups , vol.11 , pp. 341-370
    • Abdesselam, A.1    Chipalkatti, J.2
  • 3
    • 84929949576 scopus 로고    scopus 로고
    • Typical real ranks of binary forms
    • Blekherman G. Typical real ranks of binary forms. Found. Comput. Math. 2015, 15:793-798.
    • (2015) Found. Comput. Math. , vol.15 , pp. 793-798
    • Blekherman, G.1
  • 5
    • 0042229528 scopus 로고    scopus 로고
    • On equations defining coincident root loci
    • Chipalkatti J. On equations defining coincident root loci. J. Algebra 2003, 267:246-271.
    • (2003) J. Algebra , vol.267 , pp. 246-271
    • Chipalkatti, J.1
  • 6
  • 7
    • 84867931020 scopus 로고    scopus 로고
    • Perturbation theory for homogeneous polynomial eigenvalue problems
    • Dedieu J.-P., Tisseur F. Perturbation theory for homogeneous polynomial eigenvalue problems. Linear Algebra Appl. 2003, 358:71-94.
    • (2003) Linear Algebra Appl. , vol.358 , pp. 71-94
    • Dedieu, J.-P.1    Tisseur, F.2
  • 11
    • 0041629847 scopus 로고
    • Singularitäten der Diskriminantenfläche
    • Hilbert D. Singularitäten der Diskriminantenfläche. Math. Ann. 1887, 30:437-441.
    • (1887) Math. Ann. , vol.30 , pp. 437-441
    • Hilbert, D.1
  • 12
    • 0003199354 scopus 로고    scopus 로고
    • Power Sums, Gorenstein Algebras, and Determinantal Loci
    • Springer-Verlag, Berlin
    • Iarrobino A., Kanev V. Power Sums, Gorenstein Algebras, and Determinantal Loci. Lecture Notes in Math. 1999, vol. 1721. Springer-Verlag, Berlin.
    • (1999) Lecture Notes in Math. , vol.1721
    • Iarrobino, A.1    Kanev, V.2
  • 13
    • 40849130160 scopus 로고    scopus 로고
    • Approximate factorization of multivariate polynomials using singular value decomposition
    • Kaltofen E., May J., Yang Z., Zhi L. Approximate factorization of multivariate polynomials using singular value decomposition. J. Symbolic Comput. 2008, 43:359-376.
    • (2008) J. Symbolic Comput. , vol.43 , pp. 359-376
    • Kaltofen, E.1    May, J.2    Yang, Z.3    Zhi, L.4
  • 14
    • 31444436713 scopus 로고    scopus 로고
    • How tangents solve algebraic equations, or a remarkable geometry of discriminant varieties
    • Katz G. How tangents solve algebraic equations, or a remarkable geometry of discriminant varieties. Expo. Math. 2003, 21:219-261.
    • (2003) Expo. Math. , vol.21 , pp. 219-261
    • Katz, G.1
  • 15
    • 84855220478 scopus 로고    scopus 로고
    • Some remarks on equations defining coincident root loci
    • Kurmann S. Some remarks on equations defining coincident root loci. J. Algebra 2012, 352:223-231.
    • (2012) J. Algebra , vol.352 , pp. 223-231
    • Kurmann, S.1
  • 16
    • 53549127612 scopus 로고    scopus 로고
    • Numerical Methods for Roots of Polynomials, Part I
    • Elsevier B.V., Amsterdam
    • McNamee J. Numerical Methods for Roots of Polynomials, Part I. Stud. Comput. Math. 2007, vol. 14. Elsevier B.V., Amsterdam.
    • (2007) Stud. Comput. Math. , vol.14
    • McNamee, J.1
  • 17
    • 1242325432 scopus 로고    scopus 로고
    • Combinatorial Commutative Algebra
    • Springer Verlag, New York
    • Miller E., Sturmfels B. Combinatorial Commutative Algebra. Grad. Texts in Math. 2004, Springer Verlag, New York.
    • (2004) Grad. Texts in Math.
    • Miller, E.1    Sturmfels, B.2
  • 18
    • 17044442341 scopus 로고    scopus 로고
    • Topology of complements of strata of the discriminant of polynomials
    • Napolitano F. Topology of complements of strata of the discriminant of polynomials. C. R. Acad. Sci. Paris, Sér. I 1998, 327:665-670.
    • (1998) C. R. Acad. Sci. Paris, Sér. I , vol.327 , pp. 665-670
    • Napolitano, F.1
  • 19
    • 84864799216 scopus 로고    scopus 로고
    • Hyperdeterminants of polynomials
    • Oeding L. Hyperdeterminants of polynomials. Adv. Math. 2012, 231:1308-1326.
    • (2012) Adv. Math. , vol.231 , pp. 1308-1326
    • Oeding, L.1
  • 22
    • 0042130760 scopus 로고
    • The equations of strata for binary forms
    • Weyman J. The equations of strata for binary forms. J. Algebra 1989, 122:244-249.
    • (1989) J. Algebra , vol.122 , pp. 244-249
    • Weyman, J.1
  • 23
    • 14944343328 scopus 로고    scopus 로고
    • Computing multiple roots of inexact polynomials
    • Zeng Z. Computing multiple roots of inexact polynomials. Math. Comp. 2005, 74:869-903.
    • (2005) Math. Comp. , vol.74 , pp. 869-903
    • Zeng, Z.1
  • 24
    • 77950407266 scopus 로고    scopus 로고
    • Regularization and matrix computation in numerical polynomial algebra
    • Springer, Vienna, Approximate Commutative Algebra
    • Zeng Z. Regularization and matrix computation in numerical polynomial algebra. Texts Monogr. Symbol. Comput. 2009, 125-162. Springer, Vienna.
    • (2009) Texts Monogr. Symbol. Comput. , pp. 125-162
    • Zeng, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.