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Volumn 322, Issue 11, 2009, Pages 4121-4131

Polynomial relations among principal minors of a 4 × 4-matrix

Author keywords

Hyperdeterminant; Polynomial ideal; Principal minors

Indexed keywords


EID: 70349974967     PISSN: 00218693     EISSN: 1090266X     Source Type: Journal    
DOI: 10.1016/j.jalgebra.2009.06.026     Document Type: Article
Times cited : (24)

References (15)
  • 1
    • 28644439421 scopus 로고    scopus 로고
    • Eynard-Mehta theorem, Schur process, and their Pfaffian analogs
    • Borodin A., and Rains E. Eynard-Mehta theorem, Schur process, and their Pfaffian analogs. J. Stat. Phys. 121 (2005) 291-317
    • (2005) J. Stat. Phys. , vol.121 , pp. 291-317
    • Borodin, A.1    Rains, E.2
  • 2
    • 33745671177 scopus 로고    scopus 로고
    • On the toric algebra of graphical models
    • Geiger D., Meek C., and Sturmfels B. On the toric algebra of graphical models. Ann. Statist. 34 (2006) 1463-1492
    • (2006) Ann. Statist. , vol.34 , pp. 1463-1492
    • Geiger, D.1    Meek, C.2    Sturmfels, B.3
  • 3
    • 31244433080 scopus 로고    scopus 로고
    • Open problems on GKK τ-matrices
    • Holtz O., and Schneider H. Open problems on GKK τ-matrices. Linear Algebra Appl. 345 (2002) 263-267
    • (2002) Linear Algebra Appl. , vol.345 , pp. 263-267
    • Holtz, O.1    Schneider, H.2
  • 4
    • 34548689385 scopus 로고    scopus 로고
    • Hyperdeterminantal relations among symmetric principal minors
    • Holtz O., and Sturmfels B. Hyperdeterminantal relations among symmetric principal minors. J. Algebra 316 (2007) 634-648
    • (2007) J. Algebra , vol.316 , pp. 634-648
    • Holtz, O.1    Sturmfels, B.2
  • 5
    • 47249159040 scopus 로고    scopus 로고
    • The hyperdeterminant and triangulations of the 4-cube
    • Huggins P., Sturmfels B., Yu J., and Yuster D. The hyperdeterminant and triangulations of the 4-cube. Math. Comp. 77 (2008) 1653-1679
    • (2008) Math. Comp. , vol.77 , pp. 1653-1679
    • Huggins, P.1    Sturmfels, B.2    Yu, J.3    Yuster, D.4
  • 6
    • 0037409645 scopus 로고    scopus 로고
    • Toric sets and orbits on toric varieties
    • Katsabekis A., and Thoma A. Toric sets and orbits on toric varieties. J. Pure Appl. Algebra 181 (2003) 75-83
    • (2003) J. Pure Appl. Algebra , vol.181 , pp. 75-83
    • Katsabekis, A.1    Thoma, A.2
  • 7
    • 10844229441 scopus 로고    scopus 로고
    • On the ideals of secant varieties of Segre varieties
    • Landsberg J.M., and Manivel L. On the ideals of secant varieties of Segre varieties. Found. Comput. Math. (2004) 397-422
    • (2004) Found. Comput. Math. , pp. 397-422
    • Landsberg, J.M.1    Manivel, L.2
  • 8
    • 40749152903 scopus 로고
    • A certain class of generating functions in the theory of numbers
    • MacMahon P.A. A certain class of generating functions in the theory of numbers. Philos. Trans. Roy. Soc. London 185 (1894) 111-160
    • (1894) Philos. Trans. Roy. Soc. London , vol.185 , pp. 111-160
    • MacMahon, P.A.1
  • 9
    • 70349915090 scopus 로고
    • The relations between the coaxial minors of a determinant of the fourth order
    • Muir T. The relations between the coaxial minors of a determinant of the fourth order. Trans. Roy. Soc. Edinburgh 39 (1898) 323-339
    • (1898) Trans. Roy. Soc. Edinburgh , vol.39 , pp. 323-339
    • Muir, T.1
  • 10
    • 70349930352 scopus 로고
    • On the relations between the coaxial minors of a determinant
    • Nanson E.J. On the relations between the coaxial minors of a determinant. Philos. Magazine (5) 44 (1897) 362-367
    • (1897) Philos. Magazine (5) , vol.44 , pp. 362-367
    • Nanson, E.J.1
  • 13
    • 69249234052 scopus 로고    scopus 로고
    • Tools for computing primary decompositions and applications to ideals associated to Bayesian networks
    • Dickenstein A., and Emiris I. (Eds), Springer-Verlag, Heidelberg
    • Stillman M. Tools for computing primary decompositions and applications to ideals associated to Bayesian networks. In: Dickenstein A., and Emiris I. (Eds). Solving Polynomial Equations. Foundations, Algorithms and Applications (2005), Springer-Verlag, Heidelberg 203-239
    • (2005) Solving Polynomial Equations. Foundations, Algorithms and Applications , pp. 203-239
    • Stillman, M.1
  • 14
    • 33748310056 scopus 로고
    • On the independence of principal minors of determinants
    • Stouffer E.B. On the independence of principal minors of determinants. Trans. Amer. Math. Soc. 26 (1924) 356-368
    • (1924) Trans. Amer. Math. Soc. , vol.26 , pp. 356-368
    • Stouffer, E.B.1
  • 15
    • 0030520736 scopus 로고    scopus 로고
    • Singularities of hyperdeterminants
    • Weyman J., and Zelevinsky A. Singularities of hyperdeterminants. Ann. Inst. Fourier 46 (1996) 591-644
    • (1996) Ann. Inst. Fourier , vol.46 , pp. 591-644
    • Weyman, J.1    Zelevinsky, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.