메뉴 건너뛰기




Volumn 156, Issue 1, 2003, Pages 201-219

Numerical solution for bounding feasible point sets

Author keywords

Feasible point set; Interval mathematics; Multisection; Multisplitting

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; GLOBAL OPTIMIZATION; MATHEMATICAL MODELS;

EID: 0037532884     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(02)00912-3     Document Type: Article
Times cited : (9)

References (34)
  • 2
    • 0000546154 scopus 로고
    • A Gauss-Newton approach to solving generalized inequalities
    • Burke J. Han S.-P. A Gauss-Newton approach to solving generalized inequalities Math. Oper. Res. 11 1986 632-643
    • (1986) Math. Oper. Res. , vol.11 , pp. 632-643
    • Burke, J.1    Han, S.-P.2
  • 3
    • 0012703717 scopus 로고    scopus 로고
    • A new multisection technique in interval methods for global optimization
    • Casado L.G. García I. Csendes T. A new multisection technique in interval methods for global optimization Computing 65 2000 263-269
    • (2000) Computing , vol.65 , pp. 263-269
    • Casado, L.G.1    García, I.2    Csendes, T.3
  • 4
    • 0002600066 scopus 로고    scopus 로고
    • Multisection in interval branch-and-bound methods for global optimization I: Theoretical results
    • Csallner A. Csendes T. Markót M. Multisection in interval branch-and-bound methods for global optimization I: theoretical results J. Global Optim. 16 2000 371-392
    • (2000) J. Global Optim. , vol.16 , pp. 371-392
    • Csallner, A.1    Csendes, T.2    Markót, M.3
  • 5
    • 0008325983 scopus 로고
    • Newton's method for nonlinear inequalities
    • Daniel J.W. Newton's method for nonlinear inequalities Numer. Math. 21 1973 381-387
    • (1973) Numer. Math. , vol.21 , pp. 381-387
    • Daniel, J.W.1
  • 6
    • 0033413991 scopus 로고    scopus 로고
    • A trust-region approach to nonlinear systems of equalities and inequalities
    • Dennis J.E. El-Alem M. Williamson K. A trust-region approach to nonlinear systems of equalities and inequalities SIAM J. Optim. 9 1999 291-315
    • (1999) SIAM J. Optim. , vol.9 , pp. 291-315
    • Dennis, J.E.1    El-Alem, M.2    Williamson, K.3
  • 8
    • 33751433220 scopus 로고
    • Global optimization using interval analysis: The multi-dimensional case
    • Hansen E. Global optimization using interval analysis: the multi-dimensional case Numer. Math. 34 1980 247-270
    • (1980) Numer. Math. , vol.34 , pp. 247-270
    • Hansen, E.1
  • 10
    • 0038571572 scopus 로고
    • Global constrained optimization using interval analysis
    • K. L. Nickel (Ed.), New York: Academic Press
    • Hansen E. Sengupta S. Global constrained optimization using interval analysis Nickel K.L. Interval Mathematics 1980 25 47 Academic Press New York
    • (1980) Interval Mathematics , pp. 25-47
    • Hansen, E.1    Sengupta, S.2
  • 11
    • 0038571568 scopus 로고
    • Image reconstruction from projections: An approach from mathematical analysis
    • P. C. Sabatier (Ed.), Bristol: Adam Hilger
    • Herman G.T. Tuy H.K. Image reconstruction from projections: an approach from mathematical analysis Sabatier P.C. Basic Methods of Tomography and Inverse Problems 1987 1 124 Adam Hilger Bristol
    • (1987) Basic Methods of Tomography and Inverse Problems , pp. 1-124
    • Herman, G.T.1    Tuy, H.K.2
  • 12
    • 21744451094 scopus 로고    scopus 로고
    • Heuristic search and pruning in polynomial constraints satisfaction
    • Hong H. Heuristic search and pruning in polynomial constraints satisfaction Ann. Math. Artif. Intellig. 19 1997 319-334
    • (1997) Ann. Math. Artif. Intellig. , vol.19 , pp. 319-334
    • Hong, H.1
  • 13
    • 0000300972 scopus 로고
    • Safe starting regions by fixed points and tightening
    • Hong H. Stahl V. Safe starting regions by fixed points and tightening Computing 53 1994 323-335
    • (1994) Computing , vol.53 , pp. 323-335
    • Hong, H.1    Stahl, V.2
  • 16
    • 0001099553 scopus 로고    scopus 로고
    • Interval constraint propagation with application to bounded-error estimation
    • Jaulin L. Interval constraint propagation with application to bounded-error estimation Automatica 36 2000 1547-1552
    • (2000) Automatica , vol.36 , pp. 1547-1552
    • Jaulin, L.1
  • 19
    • 0038571570 scopus 로고    scopus 로고
    • A review of techniques in the verified solution of constrained global optimization problems
    • R. B. Kearfott, and V. Kreinovich (Eds.), Dordrecht: Kluwer Academic Publishers
    • Kearfott R.B. A review of techniques in the verified solution of constrained global optimization problems Kearfott R.B. Kreinovich V. Applications of Interval Computations 1996 23 60 Kluwer Academic Publishers Dordrecht
    • (1996) Applications of Interval Computations , pp. 23-60
    • Kearfott, R.B.1
  • 20
    • 0002640708 scopus 로고    scopus 로고
    • On proving existence of feasible points in equality constrained optimization problems
    • Kearfott R.B. On proving existence of feasible points in equality constrained optimization problems Math. Prog. 83 1998 89-100
    • (1998) Math. Prog. , vol.83 , pp. 89-100
    • Kearfott, R.B.1
  • 23
    • 0004293209 scopus 로고
    • Englewood Cliffs, NJ: Prentice-Hall
    • Moore R.E. Interval Analysis 1966 Prentice-Hall Englewood Cliffs, NJ
    • (1966) Interval Analysis
    • Moore, R.E.1
  • 24
    • 0002491954 scopus 로고
    • The enclosure of solutions of parameter-dependent systems of equations
    • R. E. Moore (Ed.), London: Academic Press
    • Neumaier A. The enclosure of solutions of parameter-dependent systems of equations Moore R.E. Reliability in Computing 1988 269-286 Academic Press London
    • (1988) Reliability in Computing , pp. 269-286
    • Neumaier, A.1
  • 26
    • 0002539854 scopus 로고
    • Gradient methods for solving equations and inequalities
    • Polyak B.T. Gradient methods for solving equations and inequalities USSR Comput. Math. Math. Phys. 4 1964 17-32
    • (1964) USSR Comput. Math. Math. Phys. , vol.4 , pp. 17-32
    • Polyak, B.T.1
  • 27
    • 0008288408 scopus 로고
    • Newton's method for the solution of systems of equalities and inequalities
    • Pshenichnyi B.N. Newton's method for the solution of systems of equalities and inequalities Math. Notes Acad. Sci. USSR 8 1970 827-830
    • (1970) Math. Notes Acad. Sci. USSR , vol.8 , pp. 827-830
    • Pshenichnyi, B.N.1
  • 29
    • 0008382429 scopus 로고
    • Extension of Newton's method to nonlinear functions with values in a cone
    • Robinson S.M. Extension of Newton's method to nonlinear functions with values in a cone Numer. Math. 19 1972 341-347
    • (1972) Numer. Math. , vol.19 , pp. 341-347
    • Robinson, S.M.1
  • 33
    • 0028424125 scopus 로고
    • An interval algorithm for constrained global optimization
    • Wolfe M.A. An interval algorithm for constrained global optimization J. Comput. Appl. Math. 50 1994 605-612
    • (1994) J. Comput. Appl. Math. , vol.50 , pp. 605-612
    • Wolfe, M.A.1
  • 34
    • 0037107524 scopus 로고    scopus 로고
    • A hybrid global optimization method: The one-dimensional case
    • Xu P.L. A hybrid global optimization method: the one-dimensional case J. Comput. Appl. Math. 147 2002 301-314
    • (2002) J. Comput. Appl. Math. , vol.147 , pp. 301-314
    • Xu, P.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.