메뉴 건너뛰기




Volumn 226, Issue 2, 2011, Pages 1202-1212

Obstructions to determinantal representability

Author keywords

Determinantal representability; Half plane property; Hyperbolic polynomial; Linear matrix inequalities; Polymatroid; Subspace arrangements

Indexed keywords


EID: 78149500220     PISSN: 00018708     EISSN: 10902082     Source Type: Journal    
DOI: 10.1016/j.aim.2010.08.003     Document Type: Article
Times cited : (91)

References (16)
  • 1
    • 76749115349 scopus 로고    scopus 로고
    • The Lee-Yang and Pólya-Schur programs. II. Theory of stable polynomials and applications
    • Borcea J., Brändén P. The Lee-Yang and Pólya-Schur programs. II. Theory of stable polynomials and applications. Comm. Pure Appl. Math. 2009, 62:1595-1631.
    • (2009) Comm. Pure Appl. Math. , vol.62 , pp. 1595-1631
    • Borcea, J.1    Brändén, P.2
  • 2
    • 34548157530 scopus 로고    scopus 로고
    • Polynomials with the half-plane property and matroid theory
    • Brändén P. Polynomials with the half-plane property and matroid theory. Adv. Math. 2007, 216:302-320.
    • (2007) Adv. Math. , vol.216 , pp. 302-320
    • Brändén, P.1
  • 3
    • 0346401580 scopus 로고    scopus 로고
    • Homogeneous multivariate polynomials with the half-plane property
    • Choe Y., Oxley J., Sokal A., Wagner D.G. Homogeneous multivariate polynomials with the half-plane property. Adv. in Appl. Math. 2004, 32:88-187.
    • (2004) Adv. in Appl. Math. , vol.32 , pp. 88-187
    • Choe, Y.1    Oxley, J.2    Sokal, A.3    Wagner, D.G.4
  • 5
    • 0000078158 scopus 로고
    • An inequality for hyperbolic polynomials
    • Gårding L. An inequality for hyperbolic polynomials. J. Math. Mech. 1959, 8:957-965.
    • (1959) J. Math. Mech. , vol.8 , pp. 957-965
    • Gårding, L.1
  • 7
    • 34247216675 scopus 로고    scopus 로고
    • Linear matrix inequality representation of sets
    • Helton J., Vinnikov V. Linear matrix inequality representation of sets. Comm. Pure Appl. Math. 2007, 60:654-674.
    • (2007) Comm. Pure Appl. Math. , vol.60 , pp. 654-674
    • Helton, J.1    Vinnikov, V.2
  • 9
    • 78149410461 scopus 로고    scopus 로고
    • New inequalities for subspace arrangements
    • in press
    • R. Kinser, New inequalities for subspace arrangements, J. Combin. Theory Ser. A, in press. doi:10.1016/j.jcta.2009.10.014.
    • J. Combin. Theory Ser. A
    • Kinser, R.1
  • 12
    • 0008106666 scopus 로고
    • A note on hyperbolic polynomials
    • Nuij W. A note on hyperbolic polynomials. Math. Scand. 1968, 23:69-72.
    • (1968) Math. Scand. , vol.23 , pp. 69-72
    • Nuij, W.1
  • 13
    • 0004061262 scopus 로고
    • Oxford University Press, New York
    • Oxley J. Matroid Theory 1992, Oxford University Press, New York.
    • (1992) Matroid Theory
    • Oxley, J.1
  • 15
    • 31944433002 scopus 로고    scopus 로고
    • Hyperbolic programs, and their derivative relaxations
    • Renegar J. Hyperbolic programs, and their derivative relaxations. Found. Comput. Math. 2006, 6:59-79.
    • (2006) Found. Comput. Math. , vol.6 , pp. 59-79
    • Renegar, J.1
  • 16
    • 62149096816 scopus 로고    scopus 로고
    • A criterion for the half-plane property
    • Wagner D.G., Wei Y. A criterion for the half-plane property. Discrete Math. 2009, 309:1385-1390.
    • (2009) Discrete Math. , vol.309 , pp. 1385-1390
    • Wagner, D.G.1    Wei, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.