메뉴 건너뛰기




Volumn 30, Issue 4, 2004, Pages 405-433

Extrema of a real polynomial

Author keywords

Critical surface; Extrema; Extrema surface; Normal polynomial; Polynomial; Quadratic polynomial; Quartic polynomial; Tensor

Indexed keywords

ALGORITHMS; MATRIX ALGEBRA; OPTIMIZATION; PROBLEM SOLVING; SURFACES; TENSORS; TOPOLOGY;

EID: 14644427109     PISSN: 09255001     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10898-004-6875-1     Document Type: Article
Times cited : (13)

References (16)
  • 3
    • 0040092308 scopus 로고    scopus 로고
    • The Index of grad f(x,y)
    • Durfee, A. (1998), The Index of grad f(x,y), Topology, 37, 1339-1361.
    • (1998) Topology , vol.37 , pp. 1339-1361
    • Durfee, A.1
  • 8
    • 14644424747 scopus 로고    scopus 로고
    • A general framework for convex relaxation of polynomial optimization problems over cones
    • Tamura, A. and Ito, H. (eds.), RAMP, Kyoto
    • Kojima, M., Kim, S. and Waki, H. (2002), A general framework for convex relaxation of polynomial optimization problems over cones, In: Tamura, A. and Ito, H. (eds.), Proceedings of The Fourteenth RAMP Symposium, RAMP, Kyoto, pp. 115-132.
    • (2002) Proceedings of the Fourteenth RAMP Symposium , pp. 115-132
    • Kojima, M.1    Kim, S.2    Waki, H.3
  • 9
    • 0035238864 scopus 로고    scopus 로고
    • Global optimization with polynomials and the problem of moments
    • Lasserre, J.B. (2001), Global optimization with polynomials and the problem of moments, SIAM J.Opt., 11, 796-817.
    • (2001) SIAM J.Opt. , vol.11 , pp. 796-817
    • Lasserre, J.B.1
  • 10
    • 0001776805 scopus 로고    scopus 로고
    • Squared functional systems and optimization problems
    • Frenk, H., Roos, K. Terlaky, T. and Zhang, S. (eds.), Dordrecht, The Netherlands
    • Nesterov, Y. (2000), Squared functional systems and optimization problems, In: Frenk, H., Roos, K. Terlaky, T. and Zhang, S. (eds.), High Performance Optimization, Dordrecht, The Netherlands, pp. 405-440.
    • (2000) High Performance Optimization , pp. 405-440
    • Nesterov, Y.1
  • 12
    • 0042307364 scopus 로고    scopus 로고
    • Multivariate polynomial minimization and its application in signal processing
    • Qi, L. and Teo, K.L. (2003), Multivariate polynomial minimization and its application in signal processing, J. Global Optim. 26, 419-433.
    • (2003) J. Global Optim. , vol.26 , pp. 419-433
    • Qi, L.1    Teo, K.L.2
  • 14
    • 0000663158 scopus 로고    scopus 로고
    • Critical points of real polynomials, subdivisions of Newton polyhedra and topology of real algebraic hypersurfaces
    • Shustin, E. (1996), Critical points of real polynomials, subdivisions of Newton polyhedra and topology of real algebraic hypersurfaces, Amer. Math. Soc. Transl., 173, 203-223.
    • (1996) Amer. Math. Soc. Transl. , vol.173 , pp. 203-223
    • Shustin, E.1
  • 15
    • 0031612192 scopus 로고    scopus 로고
    • Gluing of singular and critical points
    • Shustin, E. (1998), Gluing of singular and critical points, Topology, 37, 195-217.
    • (1998) Topology , vol.37 , pp. 195-217
    • Shustin, E.1
  • 16
    • 0030241002 scopus 로고    scopus 로고
    • Analytical solutions to the optimization of a quadratic cost function subject to linear and quadratic equality constraints
    • Thng, I., Cantoni, A. and Leung, Y.H. (1996), Analytical solutions to the optimization of a quadratic cost function subject to linear and quadratic equality constraints, Applied Math. Optim., 34, 161-382.
    • (1996) Applied Math. Optim. , vol.34 , pp. 161-382
    • Thng, I.1    Cantoni, A.2    Leung, Y.H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.