-
1
-
-
0000302437
-
On the local and superlinear convergence of quasi-Newton methods
-
C.G. Broyden, J.E. Dennis and J.J. Moré, On the local and superlinear convergence of quasi-Newton methods, J. Inst. Math. Appl. 12 (1973) 223-246.
-
(1973)
J. Inst. Math. Appl.
, vol.12
, pp. 223-246
-
-
Broyden, C.G.1
Dennis, J.E.2
Moré, J.J.3
-
2
-
-
0000436840
-
On the convergence of Broyden-like methods for nonlinear equations with nondifferentiable terms
-
X. Chen, On the convergence of Broyden-like methods for nonlinear equations with nondifferentiable terms, Ann. Inst. Statist. Math. 42 (1990) 387-401.
-
(1990)
Ann. Inst. Statist. Math.
, vol.42
, pp. 387-401
-
-
Chen, X.1
-
3
-
-
0030284902
-
1 convex constrained optimization
-
1 convex constrained optimization, SIAM J. Control Optim. 34 (1996) 2051-2063.
-
(1996)
SIAM J. Control Optim.
, vol.34
, pp. 2051-2063
-
-
Chen, X.1
-
4
-
-
85033076894
-
Smooth approximations to nonlinear complementarity problems
-
to appear
-
B. Chen and P. Harker, Smooth approximations to nonlinear complementarity problems, SIAM J. Optim., to appear.
-
SIAM J. Optim.
-
-
Chen, B.1
Harker, P.2
-
5
-
-
0030104686
-
A class of smoothing functions for nonlinear and mixed complementarity problems
-
C. Chen and O.L. Mangasarian, A class of smoothing functions for nonlinear and mixed complementarity problems, Comput. Optim. Appl. 5 (1996) 97-138.
-
(1996)
Comput. Optim. Appl.
, vol.5
, pp. 97-138
-
-
Chen, C.1
Mangasarian, O.L.2
-
6
-
-
0028436825
-
A parameterized Newton method and a Broyden-like method for solving nonsmooth equations
-
X. Chen and L. Qi, A parameterized Newton method and a Broyden-like method for solving nonsmooth equations, Comput. Optim. Appl. 3 (1994) 157-179.
-
(1994)
Comput. Optim. Appl.
, vol.3
, pp. 157-179
-
-
Chen, X.1
Qi, L.2
-
7
-
-
85033523066
-
-
AMR 96/26, Applied Mathematics Report, University of New South Wales, Sydney
-
X. Chen, L. Qi and D. Sun, Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities, AMR 96/26, Applied Mathematics Report, University of New South Wales, Sydney, 1996.
-
(1996)
Global and Superlinear Convergence of the Smoothing Newton Method and Its Application to General Box Constrained Variational Inequalities
-
-
Chen, X.1
Qi, L.2
Sun, D.3
-
8
-
-
0024302091
-
Convergence domains of certain iterative methods for solving nonlinear equations
-
X. Chen and T. Yamamoto, Convergence domains of certain iterative methods for solving nonlinear equations, Numer. Funct. Anal. Optim. 10 (1989) 37-48.
-
(1989)
Numer. Funct. Anal. Optim.
, vol.10
, pp. 37-48
-
-
Chen, X.1
Yamamoto, T.2
-
9
-
-
0003024010
-
On the convergence of some quasi-Newton methods for nonlinear equations with nondifferentiable operators
-
X. Chen and T. Yamamoto, On the convergence of some quasi-Newton methods for nonlinear equations with nondifferentiable operators, Computing 48 (1992) 87-94.
-
(1992)
Computing
, vol.48
, pp. 87-94
-
-
Chen, X.1
Yamamoto, T.2
-
11
-
-
84966259557
-
A characterization of superlinear convergence and its application to quasi-Newton methods
-
J.E. Dennis and J.J. Moré, A characterization of superlinear convergence and its application to quasi-Newton methods, Math. Comput. 28 (1974) 549-560.
-
(1974)
Math. Comput.
, vol.28
, pp. 549-560
-
-
Dennis, J.E.1
Moré, J.J.2
-
14
-
-
0002358032
-
Merit functions for variational inequality and complementarity problems
-
G. Di Pillo and F. Giannessi, Eds., Plenum, New York
-
M. Fukushima, Merit functions for variational inequality and complementarity problems, in: G. Di Pillo and F. Giannessi, Eds., Nonlinear Optimization and Applications (Plenum, New York, 1996) 155-170.
-
(1996)
Nonlinear Optimization and Applications
, pp. 155-170
-
-
Fukushima, M.1
-
15
-
-
0002579086
-
-
Tech. Report MCS-P541-0995, Mathematics and Computer Science Division, Argonne National Laboratory, Argonne
-
S.A. Gabriel and J.J. Moré, Smoothing of mixed complementarity problems, Tech. Report MCS-P541-0995, Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, 1995.
-
(1995)
Smoothing of Mixed Complementarity Problems
-
-
Gabriel, S.A.1
Moré, J.J.2
-
16
-
-
0026993855
-
Fast algorithms for nonsmooth compact fixed point problems
-
M. Heinkenschloß, C.T. Kelley and H.T. Tran, Fast algorithms for nonsmooth compact fixed point problems, SIAM J. Numer. Anal. 29 (1992) 1769-1792.
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, pp. 1769-1792
-
-
Heinkenschloß, M.1
Kelley, C.T.2
Tran, H.T.3
-
17
-
-
0027110831
-
Local convergence of quasi-Newton methods for B-differentiable equations
-
C.M. Ip and J. Kyparisis, Local convergence of quasi-Newton methods for B-differentiable equations, Math. Programming 56 (1992) 71-89.
-
(1992)
Math. Programming
, vol.56
, pp. 71-89
-
-
Ip, C.M.1
Kyparisis, J.2
-
18
-
-
0001995010
-
Identification of the support of nonsmoothness
-
W.W. Hager, D.W. Hearn and P.M. Pardalos, Eds., Kluwer Academic Publishers B.V., Boston
-
C.T. Kelley, Identification of the support of nonsmoothness, in: W.W. Hager, D.W. Hearn and P.M. Pardalos, Eds., Large Scale Optimization: State of the Art (Kluwer Academic Publishers B.V., Boston, 1994) 192-205.
-
(1994)
Large Scale Optimization: State of the Art
, pp. 192-205
-
-
Kelley, C.T.1
-
20
-
-
0009354618
-
On the convergence of quasi-Newton methods for nonsmooth problems
-
V.L.R. Lopes and J.M. Martínez, On the convergence of quasi-Newton methods for nonsmooth problems, Numer. Funct. Anal. Optim. 16(9&10) (1995) 1193-1209.
-
(1995)
Numer. Funct. Anal. Optim.
, vol.16
, Issue.9-10
, pp. 1193-1209
-
-
Lopes, V.L.R.1
Martínez, J.M.2
-
21
-
-
0000525068
-
Least change update methods for nonlinear systems with nondifferentiable terms
-
J.M. Martinez and M.C. Zambaldi, Least change update methods for nonlinear systems with nondifferentiable terms, Numer. Funct. Anal. Optim. 14 (1993) 405-415.
-
(1993)
Numer. Funct. Anal. Optim.
, vol.14
, pp. 405-415
-
-
Martinez, J.M.1
Zambaldi, M.C.2
-
23
-
-
0003317924
-
Nonsmooth equations: Motivation and algorithms
-
J.S. Pang and L. Qi, Nonsmooth equations: Motivation and algorithms, SIAM J. Optim. 3 (1993) 443-465.
-
(1993)
SIAM J. Optim.
, vol.3
, pp. 443-465
-
-
Pang, J.S.1
Qi, L.2
-
24
-
-
85033525424
-
On superlinear convergence of quasi-Newton methods for nonsmooth equations
-
to appear
-
L. Qi, On superlinear convergence of quasi-Newton methods for nonsmooth equations, Operations Research Letter, to appear.
-
Operations Research Letter
-
-
Qi, L.1
-
25
-
-
0029276590
-
A globally convergent successive approximation method for severely nonsmooth equations
-
L. Qi and X. Chen, A globally convergent successive approximation method for severely nonsmooth equations, SIAM J. Control Optim. 33 (1995) 402-418.
-
(1995)
SIAM J. Control Optim.
, vol.33
, pp. 402-418
-
-
Qi, L.1
Chen, X.2
-
26
-
-
85033530840
-
Semismooth Karush-Kuhn-Tucker equations and convergence analysis of Newton methods and quasi-Newton methods for solving these equations
-
to appear
-
L. Qi and H. Jiang, Semismooth Karush-Kuhn-Tucker equations and convergence analysis of Newton methods and quasi-Newton methods for solving these equations, Math. Oper. Res., to appear.
-
Math. Oper. Res.
-
-
Qi, L.1
Jiang, H.2
-
27
-
-
0027543961
-
A nonsmooth version of Newton's method
-
L. Qi and J. Sun, A nonsmooth version of Newton's method, Math. Programming 58 (1993) 353-367.
-
(1993)
Math. Programming
, vol.58
, pp. 353-367
-
-
Qi, L.1
Sun, J.2
-
28
-
-
0002214493
-
A unified convergence theory for a class of iterative process
-
W.C. Rheinboldt, A unified convergence theory for a class of iterative process, SIAM J. Numer. Anal. 5 (1968) 42-63.
-
(1968)
SIAM J. Numer. Anal.
, vol.5
, pp. 42-63
-
-
Rheinboldt, W.C.1
-
29
-
-
0025485978
-
On concepts of directional differentiability
-
A. Shapiro, On concepts of directional differentiability, J. Optim. Theory Appl. 66 (1990) 477-487.
-
(1990)
J. Optim. Theory Appl.
, vol.66
, pp. 477-487
-
-
Shapiro, A.1
-
30
-
-
85033520999
-
Newton and quasi-Newton methods for a class of nonsmooth equations and related problems
-
to appear
-
D. Sun and J. Han, Newton and quasi-Newton methods for a class of nonsmooth equations and related problems, SIAM J. Optim., to appear.
-
SIAM J. Optim.
-
-
Sun, D.1
Han, J.2
-
31
-
-
0023415814
-
A note on a posteriori error bound of Zabrejko and Nguen for Zincenko's iteration
-
T. Yamamoto, A note on a posteriori error bound of Zabrejko and Nguen for Zincenko's iteration, Numer. Funct. Anal. Optim. 9 (1987) 987-994.
-
(1987)
Numer. Funct. Anal. Optim.
, vol.9
, pp. 987-994
-
-
Yamamoto, T.1
-
32
-
-
21344463508
-
Split nonsmooth equations and verification of solution
-
the Zeitschrift fuer Angewandte Mathematik und Mechanik (ZAMM) with the Akademie Verlag, Berlin
-
T. Yamamoto, Split nonsmooth equations and verification of solution, in: Numerical Analysis, Scientific Computing, Computer Science, Vol. 2 (the Zeitschrift fuer Angewandte Mathematik und Mechanik (ZAMM) with the Akademie Verlag, Berlin, 1996), Suppl. 1, 199-202.
-
(1996)
Numerical Analysis, Scientific Computing, Computer Science
, vol.2
, Issue.1 SUPPL.
, pp. 199-202
-
-
Yamamoto, T.1
-
33
-
-
0041064129
-
Ball-convergence theorems and error estimates for certain iterative methods for nonlinear equations
-
T. Yamamoto and X. Chen, Ball-convergence theorems and error estimates for certain iterative methods for nonlinear equations, Japan J. Appl. Math. 7 (1990) 131-143.
-
(1990)
Japan J. Appl. Math.
, vol.7
, pp. 131-143
-
-
Yamamoto, T.1
Chen, X.2
-
34
-
-
0002260149
-
Some approximate methods of solving equations with nondifferentiable operators
-
A.I. Zincenko, Some approximate methods of solving equations with nondifferentiable operators, Dopovidi Akad. Nauk. Ukrain. RSR (1963) 156-161.
-
(1963)
Dopovidi Akad. Nauk. Ukrain. RSR
, pp. 156-161
-
-
Zincenko, A.I.1
|