1 |
J.Sun, A convergence proof for an affine-scaling algorithm for convex quadratic programming without nondegeneracy assumptions, Mathe. Programming, 60(1993), 69-79.
DOI
|
2 |
Y.Ye, On affine scaling algorithms for nonconvex quadratic programming, Math. Programming, 56 (1992) 285-300.
DOI
ScienceOn
|
3 |
D.Zhu, Curvilinear paths and trust region methods with nonmonotonic back tracking techniaue for unconstrained optimization, J. Comp. Mathematics, 19(2001) 241-258.
|
4 |
D.Zhu, An interior point algorithm with nonmonotonic backtracking technique for linear constrained optimization, J. Comp. and Appl. Mathematics, 155(2003) 285-305.
DOI
ScienceOn
|
5 |
P.Guo and D.Zhu, A nonmonotonic interior point algorithn via optimal path for nonlinear optimization with bounds to variables , J. Shan. Norm. University 33(3)(2004), 23-29.
DOI
|
6 |
M.Heinkenschloss, M.Ulbrich and S.Ulbrich, Superlinear and quadratic convergence of affine-scaling interior-point Newton methods for problems with simple bounds without strict complementarity assumption, Math. Programming 86(1999), 615-635.
DOI
ScienceOn
|
7 |
N.I.M.Gould, S.Lucidi, M.Roma and P.L.Toint, Solving the trust-region subproblem using the Lanczos method , SIAM J. Optimization 9(2)(1999), 504-525.
DOI
ScienceOn
|
8 |
C.Jia and D.Zhu, An Affine Scaling Interior Algorithm Via Lanczos Path for Solving Bound-constrained Nonlinear Systems, Appl. Math. and Computation, 195(2008), 558-575.
DOI
ScienceOn
|
9 |
K.Schittkowski, More Test Examples for Nonlinear Programming Codes, Lecture Notes in Economics and Mathematical Systems, Springer-Verlag, Berlin 282(1987).
|
10 |
Floudas,C.A.,et al., Handbook of Test Problems In Local and Global Optimization, Kluwer Academic, Dordrecht, 33(1999).
|
11 |
T.F.Coleman and Y.Li, An interior trust region approach for minimization subject to bounds, SIAM J. Optimization 6(3)(1996), 418-445.
|
12 |
L.Gripp, F.Lampariello and S.Lucidi, A nonmonotone line search technique for Newton's methods, SIAM J. Nume. Analysis, 23(1986), 707-716.
DOI
ScienceOn
|
13 |
Y.Guan, and D.Zhu, Solving the unconstrained nonlinear optimization using the Lanczos path method , Nume. Math. J. Chin. Universities, S1(2005), 46-51.
|
14 |
J.P.Bulteau and J.Ph.Vial, Curvilinear path and trust region in unconstrained optimization, a convergence analysis, Math. Prog. Study, 30(1987), 82-101.
|
15 |
S.Bellavia, M.Macconi and B.Morini, An affine scaling trust-region approach to bound-constrained nonlinear systems, Appl. Nume. Mathematics 44 (2003), 257-280.
DOI
ScienceOn
|
16 |
J.E.Jr.Dennis and R.B.Schnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations, Prentice-Hall Series in Computation; Mathematics, Englewood Cliffs. NJ, 1983.
|