메뉴 건너뛰기




Volumn 157, Issue 1, 2003, Pages 207-225

Lower bound functions for polynomials

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; FUNCTIONS; GLOBAL OPTIMIZATION; NONLINEAR SYSTEMS; PROBLEM SOLVING;

EID: 0042121008     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(03)00422-9     Document Type: Article
Times cited : (18)

References (30)
  • 1
    • 0003086747 scopus 로고    scopus 로고
    • Rigorous convex underestimators for general twice-differentiable problems
    • Adjiman C.S. Floudas C.A. Rigorous convex underestimators for general twice-differentiable problems J. Glob. Optim. 9 1996 23-40
    • (1996) J. Glob. Optim. , vol.9 , pp. 23-40
    • Adjiman, C.S.1    Floudas, C.A.2
  • 2
    • 0020752471 scopus 로고
    • Jointly constrained biconvex programming
    • Al-Khayyal F.A. Falk J.E. Jointly constrained biconvex programming Math. Oper. Res. 8 1983 273-286
    • (1983) Math. Oper. Res. , vol.8 , pp. 273-286
    • Al-Khayyal, F.A.1    Falk, J.E.2
  • 3
    • 0001327501 scopus 로고
    • α BB: A global optimization method for general constrained nonconvex problems
    • Androulakis I.P. Maranas C.D. Floudas C.A. α BB: a global optimization method for general constrained nonconvex problems J. Glob. Optim. 7 4 1995 337-363
    • (1995) J. Glob. Optim. , vol.7 , Issue.4 , pp. 337-363
    • Androulakis, I.P.1    Maranas, C.D.2    Floudas, C.A.3
  • 6
    • 0042840765 scopus 로고
    • Die Berechnung von Schranken für den Wertebereich eines polynoms in einem Intervall
    • Dusssel R. Schmitt B. Die Berechnung von Schranken für den Wertebereich eines polynoms in einem Intervall Computing 6 1970 35-60
    • (1970) Computing , vol.6 , pp. 35-60
    • Dusssel, R.1    Schmitt, B.2
  • 10
    • 0007469744 scopus 로고
    • A Collection of Test Problems for Constrained Global Optimization Algorithms
    • Berlin: Springer
    • Floudas C.A. Pardalos P.M. A Collection of Test Problems for Constrained Global Optimization Algorithms Lecture Notes in Computer Science Vol. 455 1990 Springer Berlin
    • (1990) Lecture Notes in Computer Science , vol.455
    • Floudas, C.A.1    Pardalos, P.M.2
  • 11
    • 85034977120 scopus 로고
    • Convergent bounds for the range of multivariate polynomials
    • Lecture Notes in Computer Science K. Nickel (Ed.), Berlin: Springer
    • Garloff J. Convergent bounds for the range of multivariate polynomials Nickel K. Interval Mathematics 1985 Lecture Notes in Computer Science Vol. 212 1986 37-56 Springer Berlin
    • (1986) Interval Mathematics 1985 , vol.212 , pp. 37-56
    • Garloff, J.1
  • 12
    • 0041705250 scopus 로고    scopus 로고
    • Inclusion isotonicity of convex-concave extensions for polynomials based on Bernstein expansion
    • to appear
    • J. Garloff, C. Jansson, A.P. Smith, Inclusion isotonicity of convex-concave extensions for polynomials based on Bernstein expansion, Computing (2003) to appear.
    • (2003) Computing
    • Garloff, J.1    Jansson, C.2    Smith, A.P.3
  • 15
    • 4244065987 scopus 로고
    • A combined method for enclosing all solutions of nonlinear systems of polynomial equations
    • Jäger C. Ratz D. A combined method for enclosing all solutions of nonlinear systems of polynomial equations Reliable Comput. 1 1995 41-64
    • (1995) Reliable Comput. , vol.1 , pp. 41-64
    • Jäger, C.1    Ratz, D.2
  • 16
    • 0001816446 scopus 로고
    • A self-validating method for solving linear programming problems with interval input data
    • Jansson C. A self-validating method for solving linear programming problems with interval input data Computing 6 Suppl. 1988 33-45
    • (1988) Computing , vol.6 , Issue.SUPPL. , pp. 33-45
    • Jansson, C.1
  • 17
    • 0035587120 scopus 로고    scopus 로고
    • Quasiconvex relaxations based on interval arithmetic
    • Jansson C. Quasiconvex relaxations based on interval arithmetic Linear Algebra Appl. 324 2001 27-53
    • (2001) Linear Algebra Appl. , vol.324 , pp. 27-53
    • Jansson, C.1
  • 18
    • 0012337406 scopus 로고    scopus 로고
    • Technical Report 02.1, Forschungsschwerpunkt Informations- und Kommunikationstechnik, TU Hamburg-Harburg
    • C. Jansson, Rigorous lower and upper bounds in linear programming, Technical Report 02.1, Forschungsschwerpunkt Informations- und Kommunikationstechnik, TU Hamburg-Harburg, 2002.
    • (2002) Rigorous Lower and Upper Bounds in Linear Programming
    • Jansson, C.1
  • 19
    • 0035499435 scopus 로고    scopus 로고
    • Optimized refinable enclosures of multivariate polynomial pieces
    • Lutterkort D. Peters J. Optimized refinable enclosures of multivariate polynomial pieces Comput. Aided Geom. Design 18 2002 851-863
    • (2002) Comput. Aided Geom. Design , vol.18 , pp. 851-863
    • Lutterkort, D.1    Peters, J.2
  • 20
    • 0023365864 scopus 로고
    • Box-bisection for solving second-degree systems and the problem of clustering
    • Morgan A.P. Shapiro V. Box-bisection for solving second-degree systems and the problem of clustering ACM Trans. Math. Software 13 2 1987 152-167
    • (1987) ACM Trans. Math. Software , vol.13 , Issue.2 , pp. 152-167
    • Morgan, A.P.1    Shapiro, V.2
  • 24
    • 0042988893 scopus 로고
    • Bounds for an interval polynomial
    • Rokne J. Bounds for an interval polynomial Computing 18 1977 225-240
    • (1977) Computing , vol.18 , pp. 225-240
    • Rokne, J.1
  • 25
    • 0020006428 scopus 로고
    • Optimal computation of the Bernstein algorithm for the bound of an interval polynomial
    • Rokne J. Optimal computation of the Bernstein algorithm for the bound of an interval polynomial Computing 28 1982 239-246
    • (1982) Computing , vol.28 , pp. 239-246
    • Rokne, J.1
  • 26
    • 0001731396 scopus 로고    scopus 로고
    • On factorization of analytic functions and its verification
    • Sakurai T. Sugiura H. On factorization of analytic functions and its verification Reliable Comput. 6 2000 459-470
    • (2000) Reliable Comput. , vol.6 , pp. 459-470
    • Sakurai, T.1    Sugiura, H.2
  • 27
    • 0027540135 scopus 로고
    • Error estimates for approximations from control nets
    • Schaback R. Error estimates for approximations from control nets Comput. Aided Geom. Design 10 1993 57-66
    • (1993) Comput. Aided Geom. Design , vol.10 , pp. 57-66
    • Schaback, R.1
  • 29
    • 0032216248 scopus 로고    scopus 로고
    • Continuous global optimization of structured process systems models
    • Zamora J.M. Grossmann I.E. Continuous global optimization of structured process systems models Comput. Chem. Eng. 22 12 1998 1749-1770
    • (1998) Comput. Chem. Eng. , vol.22 , Issue.12 , pp. 1749-1770
    • Zamora, J.M.1    Grossmann, I.E.2
  • 30
    • 0032021831 scopus 로고    scopus 로고
    • Robustness analysis of polynomials with polynomial parameter dependency using Bernstein expansion
    • Zettler M. Garloff J. Robustness analysis of polynomials with polynomial parameter dependency using Bernstein expansion IEEE Trans. Automat. Control 43 1998 425-431
    • (1998) IEEE Trans. Automat. Control , vol.43 , pp. 425-431
    • Zettler, M.1    Garloff, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.