메뉴 건너뛰기




Volumn 44, Issue 3, 2003, Pages 257-280

An affine scaling trust-region approach to bound-constrained nonlinear systems

Author keywords

[No Author keywords available]

Indexed keywords

ITERATIVE METHODS; NONLINEAR EQUATIONS; OPTIMIZATION; VECTORS;

EID: 0037298205     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(02)00170-8     Document Type: Article
Times cited : (95)

References (23)
  • 1
    • 0003709683 scopus 로고
    • LANCELO: A fortran package for large-scale nonlinear optimization
    • New York: Springer
    • Conn A.R., Gould N.I.M., Toint Ph.L. LANCELO: A Fortran Package for Large-Scale Nonlinear Optimization. Springer Ser. Comput. Math. 17:1992;Springer, New York.
    • (1992) Springer Ser. Comput. Math. , vol.17
    • Conn, A.R.1    Gould, N.I.M.2    Toint, Ph.L.3
  • 2
    • 34249771074 scopus 로고
    • On the convergence of interior-reflective Newton methods for nonlinear minimization subject to bounds
    • Coleman T.F., Li Y. On the convergence of interior-reflective Newton methods for nonlinear minimization subject to bounds. Math. Programming. 67:1994;189-224.
    • (1994) Math. Programming , vol.67 , pp. 189-224
    • Coleman, T.F.1    Li, Y.2
  • 3
    • 0030303844 scopus 로고    scopus 로고
    • An interior trust region approach for nonlinear minimization subject to bounds
    • Coleman T.F., Li Y. An interior trust region approach for nonlinear minimization subject to bounds. SIAM J. Optim. 6:1996;418-445.
    • (1996) SIAM J. Optim. , vol.6 , pp. 418-445
    • Coleman, T.F.1    Li, Y.2
  • 6
    • 0031352141 scopus 로고    scopus 로고
    • Engineering and economic applications of complementarity problems
    • Ferris M.C., Pang J.S. Engineering and economic applications of complementarity problems. SIAM Rev. 39:1997;669-713.
    • (1997) SIAM Rev. , vol.39 , pp. 669-713
    • Ferris, M.C.1    Pang, J.S.2
  • 7
    • 0003369158 scopus 로고    scopus 로고
    • Handbook of test problems in local and global optimization
    • Dordrecht: Kluwer Academic
    • Floudas C.A., et al. Handbook of Test Problems in Local and Global Optimization. Nonconvex Optimization and Its Applications. 33:1999;Kluwer Academic, Dordrecht.
    • (1999) Nonconvex Optimization and its Applications , vol.33
    • Floudas, C.A.1
  • 9
    • 0001817483 scopus 로고    scopus 로고
    • An active set-type Newton method for constrained nonlinear systems
    • M.C. Ferris, O.L. Mangasarian, & J.S. Pang. Dordrecht: Kluwer Academic
    • Kanzow C. An active set-type Newton method for constrained nonlinear systems. Ferris M.C., Mangasarian O.L., Pang J.S. Complementarity: Applications, Algorithms and Extensions. 2001;179-200 Kluwer Academic, Dordrecht.
    • (2001) Complementarity: Applications, Algorithms and Extensions , pp. 179-200
    • Kanzow, C.1
  • 10
    • 0035610337 scopus 로고    scopus 로고
    • Strictly feasible equation-based methods for mixed complementarity problems
    • Kanzow C. Strictly feasible equation-based methods for mixed complementarity problems. Numer. Math. 89:2001;135-160.
    • (2001) Numer. Math. , vol.89 , pp. 135-160
    • Kanzow, C.1
  • 11
    • 0004155392 scopus 로고
    • Iterative methods for solving linear and nonlinear equations
    • Philadelphia, PA: SIAM
    • Kelley C.T. Iterative Methods for Solving Linear and Nonlinear Equations. Frontiers in Applied Mathematics. 16:1995;SIAM, Philadelphia, PA.
    • (1995) Frontiers in Applied Mathematics , vol.16
    • Kelley, C.T.1
  • 12
    • 0003267930 scopus 로고    scopus 로고
    • Iterative methods for optimization
    • Philadelphia, PA: SIAM
    • Kelley C.T. Iterative Methods for Optimization. Frontiers in Applied Mathematics. 18:1999;SIAM, Philadelphia, PA.
    • (1999) Frontiers in Applied Mathematics , vol.18
    • Kelley, C.T.1
  • 15
    • 0033436056 scopus 로고    scopus 로고
    • Newton's method for large bound-constrained optimization problems
    • Lin C.J., Moré J.J. Newton's method for large bound-constrained Optimization problems. SIAM J. Optim. 9:1999;1100-1127.
    • (1999) SIAM J. Optim. , vol.9 , pp. 1100-1127
    • Lin, C.J.1    Moré, J.J.2
  • 16
    • 0025448634 scopus 로고
    • Chemical equilibrium systems as numerical tests problems
    • Meintjes K., Morgan A.P. Chemical equilibrium systems as numerical tests problems. ACM Trans. Math. Software. 16:1990;143-151.
    • (1990) ACM Trans. Math. Software , vol.16 , pp. 143-151
    • Meintjes, K.1    Morgan, A.P.2
  • 17
    • 0001056223 scopus 로고
    • A methodology for solving chemical equilibrium systems
    • Meintjes K., Morgan A.P. A methodology for solving chemical equilibrium systems. Appl. Math. Comput. 22:1987;333-361.
    • (1987) Appl. Math. Comput. , vol.22 , pp. 333-361
    • Meintjes, K.1    Morgan, A.P.2
  • 18
    • 0003258504 scopus 로고
    • A collection of nonlinear model problems
    • E.L. Allgower, & K. Georg., Computational Solutions of Nonlinear Solutions of Equations, Providence, RI: American Mathematical Society
    • Moré J.J. A collection of nonlinear model problems. Allgower E.L., Georg K. Computational Solutions of Nonlinear Solutions of Equations. Lectures in Appl. Math. 26:1990;723-762 American Mathematical Society, Providence, RI.
    • (1990) Lectures in Appl. Math. , vol.26 , pp. 723-762
    • Moré, J.J.1
  • 21
    • 0031261357 scopus 로고    scopus 로고
    • Automatic detection of an initial trust region in nonlinear programming
    • Sartenaer A. Automatic detection of an initial trust region in nonlinear programming. SIAM J. Sci. Comput. 18:1997;1788-1803.
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 1788-1803
    • Sartenaer, A.1
  • 22
    • 0035643190 scopus 로고    scopus 로고
    • Nonmonotone trust-region methods for bound-constrained semismooth equations with applications to nonlinear mixed complementarity problems
    • Ulbrich M. Nonmonotone trust-region methods for bound-constrained semismooth equations with applications to nonlinear mixed complementarity problems. SIAM J. Optim. 11:2000;889-917.
    • (2000) SIAM J. Optim. , vol.11 , pp. 889-917
    • Ulbrich, M.1
  • 23
    • 0000304337 scopus 로고    scopus 로고
    • A potential reduction Newton method for constrained equations
    • Wang T., Monteiro R.D.C., Pang K.J.S. A potential reduction Newton method for constrained equations. Math. Programming. 74:1996;159-195.
    • (1996) Math. Programming , vol.74 , pp. 159-195
    • Wang, T.1    Monteiro, R.D.C.2    Pang, K.J.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.