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Volumn 89, Issue 5, 2007, Pages 390-398

Sufficient conditions for a real polynomial to be a sum of squares

Author keywords

Positive polynomials; Real algebraic geometry; Sum of squares

Indexed keywords


EID: 38649087058     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00013-007-2251-y     Document Type: Article
Times cited : (18)

References (9)
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    • J. W. HELTON AND V. VINNIKOV, Linear matrix inequality representation of sets, Technical report. Mathematic Dept., University of California, at San Diego, USA, 2004. arXiv:math.OC/0306180 v1.
    • J. W. HELTON AND V. VINNIKOV, Linear matrix inequality representation of sets, Technical report. Mathematic Dept., University of California, at San Diego, USA, 2004. arXiv:math.OC/0306180 v1.
  • 3
    • 0035238864 scopus 로고    scopus 로고
    • Global optimization with polynomials and the problem of moments
    • J. B. LASSERRE, Global optimization with polynomials and the problem of moments. SIAM J. Optim. 11, 796-817 (2001).
    • (2001) SIAM J. Optim , vol.11 , pp. 796-817
    • LASSERRE, J.B.1
  • 4
    • 33747153560 scopus 로고    scopus 로고
    • A sum of squares approximation of nonnegative polynomials
    • J. B. LASSERRE, A sum of squares approximation of nonnegative polynomials. SIAM J. Optim. 16, 751-765 (2006).
    • (2006) SIAM J. Optim , vol.16 , pp. 751-765
    • LASSERRE, J.B.1
  • 5
    • 38649083028 scopus 로고    scopus 로고
    • J. B. LASSERRE, Conditions for a real polynomial to be sum of squares. Technical report, LAAS, Toulouse, France, 2006.
    • J. B. LASSERRE, Conditions for a real polynomial to be sum of squares. Technical report, LAAS, Toulouse, France, 2006.
  • 6
    • 33847278560 scopus 로고    scopus 로고
    • SOS approximation of nonnegative polynomial via simple high degree perturbations
    • J. B. LASSERRE AND T. NETZER, SOS approximation of nonnegative polynomial via simple high degree perturbations. Math. Z. 256, 99-112 (2006).
    • (2006) Math. Z , vol.256 , pp. 99-112
    • LASSERRE, J.B.1    NETZER, T.2
  • 8
    • 1542266056 scopus 로고    scopus 로고
    • Semidefinite programming relaxations for semialgebraic problems. Math. Progr
    • P. A. PARRILO, Semidefinite programming relaxations for semialgebraic problems. Math. Progr. Ser. B 96, 293-320 (2003).
    • (2003) Ser. B , vol.96 , pp. 293-320
    • PARRILO, P.A.1
  • 9
    • 23844493105 scopus 로고    scopus 로고
    • Optimization of polynomials on compact semialgebraic sets
    • M. SCHWEIGHOFER, Optimization of polynomials on compact semialgebraic sets. SIAM J. Optim. 15, 805-825 (2005).
    • (2005) SIAM J. Optim , vol.15 , pp. 805-825
    • SCHWEIGHOFER, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.