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Volumn 3, Issue , 2004, Pages 3154-3159

From coefficients to samples: A new approach to SOS optimization

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; FUNCTIONS; LINEAR PROGRAMMING; MATHEMATICAL MODELS; OPTIMIZATION; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

EID: 14244264785     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2004.1428957     Document Type: Conference Paper
Times cited : (46)

References (20)
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    • (2002) Mathematical Programming Ser. A , vol.93 , Issue.3 , pp. 331-359
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  • 7
    • 0034382972 scopus 로고    scopus 로고
    • Polynomial interpolation in several variables
    • M. Gasca and T. Sauer. Polynomial interpolation in several variables. Adv. Comput. Math., 12(4):377-410, 2000.
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    • Gasca, M.1    Sauer, T.2
  • 8
    • 1342310017 scopus 로고    scopus 로고
    • Optimization problems over positive pseudopolynomial matrices
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    • Y. Genin, Y. Hachez, Y. Nesterov, and P. V. Dooren. Optimization problems over positive pseudopolynomial matrices. SIAM J. Matrix Anal. Appl. 25(1):57-79 (electronic), 2003.
    • (2003) SIAM J. Matrix Anal. Appl. , vol.25 , Issue.1 , pp. 57-79
    • Genin, Y.1    Hachez, Y.2    Nesterov, Y.3    Dooren, P.V.4
  • 10
    • 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(3):796-817, 2001.
    • (2001) SIAM J. Optim. , vol.11 , Issue.3 , pp. 796-817
    • Lasserre, J.B.1
  • 11
    • 14244267315 scopus 로고    scopus 로고
    • J. Löfberg. YALMIP 3, 2004. http://control.ee.ethz.ch/~joloef/ yalmip.msql.
    • (2004) YALMIP , vol.3
    • Löfberg, J.1
  • 12
    • 0000692349 scopus 로고    scopus 로고
    • Multivariate polynomials, duality, and structured matrices
    • B. Mourrain and V. Y. Pan. Multivariate polynomials, duality, and structured matrices. J. Complexity, 16(1):110-180, 2000. Real computation and complexity (Schloss Dagstuhl, 1998).
    • (2000) J. Complexity , vol.16 , Issue.1 , pp. 110-180
    • Mourrain, B.1    Pan, V.Y.2
  • 13
    • 0000692349 scopus 로고    scopus 로고
    • Schloss Dagstuhl
    • B. Mourrain and V. Y. Pan. Multivariate polynomials, duality, and structured matrices. J. Complexity, 16(1):110-180, 2000. Real computation and complexity (Schloss Dagstuhl, 1998).
    • (1998) Real Computation and Complexity
  • 17
    • 1542266056 scopus 로고    scopus 로고
    • Semidefinite programming relaxations for semialgebraic problems
    • Ser. B
    • P. A. Parrilo. Semidefinite programming relaxations for semialgebraic problems. Math. Prog., 96(2, Ser. B):293-320, 2003.
    • (2003) Math. Prog. , vol.96 , Issue.2 , pp. 293-320
    • Parrilo, P.A.1
  • 20
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    • Semidefinite programming
    • Mar.
    • L. Vandenberghe and S. Boyd. Semidefinite programming. SIAM Review, 38(1):49-95, Mar. 1996.
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    • Vandenberghe, L.1    Boyd, S.2


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