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In this paper, we propose two limited memory BFGS algorithms with a nonmonotone line search technique for unconstrained optimization problems. The global convergence of the given methods will be established under suitable conditions. Numerical results show that the presented algorithms are more competitive than the normal BFGS method.
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참고문헌 (27)
참고문헌 신청
[학술
A. Griewank / 1982 / Local convergence analysis for partitioned quasi-Newton updates / Numer. Math. 39 (3) : 429 ~ 448
A. Griewank / 1991 / The global convergence of partitioned BFGS on problems with convex decompositions and Lipschitzian gradients / Math. Programming(Ser. A) 50 (2) : 141 ~
C. G. Broyden / 1973 / On the local and superlinear convergence of quasi-Newton methods / J. Inst. Math. Appl. 12 : 223 ~ 245
D. Li / 2001 / A modified BFGS method and its global convergence in nonconvex minimization / J. Comput. Appl. Math. 129 (1) : 15 ~ 35
A. Griewank / 1982 / Local convergence analysis for partitioned quasi-Newton updates / Numer. Math. 39 (3) : 429 ~ 448
A. Griewank / 1991 / The global convergence of partitioned BFGS on problems with convex decompositions and Lipschitzian gradients / Math. Programming(Ser. A) 50 (2) : 141 ~
C. G. Broyden / 1973 / On the local and superlinear convergence of quasi-Newton methods / J. Inst. Math. Appl. 12 : 223 ~ 245
D. Li / 2001 / A modified BFGS method and its global convergence in nonconvex minimization / J. Comput. Appl. Math. 129 (1) : 15 ~ 35
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