메뉴 건너뛰기




Volumn 316, Issue 2, 2007, Pages 634-648

Hyperdeterminantal relations among symmetric principal minors

Author keywords

Hyperdeterminant; Minor assignment problem; Principal minors; Symmetric matrices; Tensors

Indexed keywords


EID: 34548689385     PISSN: 00218693     EISSN: 1090266X     Source Type: Journal    
DOI: 10.1016/j.jalgebra.2007.01.039     Document Type: Article
Times cited : (64)

References (14)
  • 1
    • 0005388856 scopus 로고
    • Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir, and Cayley
    • Brualdi R.A., and Schneider H. Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir, and Cayley. Linear Algebra Appl. 5253 (1983) 769-791
    • (1983) Linear Algebra Appl. , vol.5253 , pp. 769-791
    • Brualdi, R.A.1    Schneider, H.2
  • 2
    • 0001996976 scopus 로고
    • The Hadamard-Fischer inequality for a class of matrices defined by eigenvalue monotonicity
    • Engel G.M., and Schneider H. The Hadamard-Fischer inequality for a class of matrices defined by eigenvalue monotonicity. Linear Multilinear Algebra 4 3 (1976) 155-176
    • (1976) Linear Multilinear Algebra , vol.4 , Issue.3 , pp. 155-176
    • Engel, G.M.1    Schneider, H.2
  • 3
    • 0016664554 scopus 로고
    • On inverse multiplicative eigenvalue problems for matrices
    • Friedland S. On inverse multiplicative eigenvalue problems for matrices. Linear Algebra Appl. 12 2 (1975) 127-137
    • (1975) Linear Algebra Appl. , vol.12 , Issue.2 , pp. 127-137
    • Friedland, S.1
  • 4
    • 0003353305 scopus 로고
    • Discriminants, Resultants, and Multidimensional Determinants
    • Birkhäuser, Boston, MA
    • Gel'fand I.M., Kapranov M.M., and Zelevinsky A.V. Discriminants, Resultants, and Multidimensional Determinants. Math. Theory Appl. (1994), Birkhäuser, Boston, MA
    • (1994) Math. Theory Appl.
    • Gel'fand, I.M.1    Kapranov, M.M.2    Zelevinsky, A.V.3
  • 5
    • 33748319729 scopus 로고    scopus 로고
    • Principal minors, part I: A method for computing all the principal minors of a matrix
    • Griffin K., and Tsatsomeros M.J. Principal minors, part I: A method for computing all the principal minors of a matrix. Linear Algebra Appl. 419 1 (2006) 107-124
    • (2006) Linear Algebra Appl. , vol.419 , Issue.1 , pp. 107-124
    • Griffin, K.1    Tsatsomeros, M.J.2
  • 6
    • 33748318179 scopus 로고    scopus 로고
    • Principal minors, part II: The principal minor assignment problem
    • Griffin K., and Tsatsomeros M.J. Principal minors, part II: The principal minor assignment problem. Linear Algebra Appl. 419 1 (2006) 125-171
    • (2006) Linear Algebra Appl. , vol.419 , Issue.1 , pp. 125-171
    • Griffin, K.1    Tsatsomeros, M.J.2
  • 7
    • 0033461409 scopus 로고    scopus 로고
    • Not all GKK τ-matrices are stable
    • Holtz O. Not all GKK τ-matrices are stable. Linear Algebra Appl. 291 1-3 (1999) 235-244
    • (1999) Linear Algebra Appl. , vol.291 , Issue.1-3 , pp. 235-244
    • Holtz, O.1
  • 8
    • 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
  • 10
    • 4944257625 scopus 로고
    • Über die Auflösung der Gleichungen, auf welche man bei der Untersuchung der linearen Verteilung galvanischer Ströme geführt wird
    • Kirchhoff F. Über die Auflösung der Gleichungen, auf welche man bei der Untersuchung der linearen Verteilung galvanischer Ströme geführt wird. Ann. Phys. Chem. 72 (1847) 497-508
    • (1847) Ann. Phys. Chem. , vol.72 , pp. 497-508
    • Kirchhoff, F.1
  • 11
    • 0016486888 scopus 로고
    • The coincidence approach to stochastic point processes
    • Macchi O. The coincidence approach to stochastic point processes. Adv. in Appl. Probab. 7 (1975) 83-122
    • (1975) Adv. in Appl. Probab. , vol.7 , pp. 83-122
    • Macchi, O.1
  • 12
    • 0034345454 scopus 로고    scopus 로고
    • Towards a theory of negative dependence
    • Pemantle R. Towards a theory of negative dependence. J. Math. Phys. 41 3 (2000) 1371-1390
    • (2000) J. Math. Phys. , vol.41 , Issue.3 , pp. 1371-1390
    • Pemantle, R.1
  • 13
    • 0041684487 scopus 로고    scopus 로고
    • A recursive test for P-matrices
    • Tsatsomeros M.J., and Li L. A recursive test for P-matrices. BIT 40 2 (2000) 410-414
    • (2000) BIT , vol.40 , Issue.2 , pp. 410-414
    • Tsatsomeros, M.J.1    Li, L.2
  • 14
    • 34548674804 scopus 로고    scopus 로고
    • David G. Wagner, Negatively correlated random variables and Mason's conjecture, for independent sets in matroids, Ann. Comb., in press


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.