-
1
-
-
84968510937
-
A class of methods for solving nonlinear simultaneous equations
-
C. G. BROYDEN, A class of methods for solving nonlinear simultaneous equations, Math. Comp., 19 (1965), pp. 577-593.
-
(1965)
Math. Comp.
, vol.19
, pp. 577-593
-
-
Broyden, C.G.1
-
2
-
-
0003024010
-
On the convergence of some quasi-Newton methods for solving nonlinear equations with nondifferentiable operators
-
X. CHEN AND T. YAMAMOTO, On the convergence of some quasi-Newton methods for solving nonlinear equations with nondifferentiable operators, Computing, 49 (1992), pp. 87-94.
-
(1992)
Computing
, vol.49
, pp. 87-94
-
-
Chen, X.1
Yamamoto, T.2
-
3
-
-
0028436825
-
A parameterized Newton method and a quasi-Newton method, for solving nonsmooth equations
-
X. CHEN AND L. QI, A parameterized Newton method and a quasi-Newton method, for solving nonsmooth equations, Comput. Optim. Appl., 3 (1994), pp. 157-179.
-
(1994)
Comput. Optim. Appl.
, vol.3
, pp. 157-179
-
-
Chen, X.1
Qi, L.2
-
5
-
-
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. Comp., 28 (1974), pp. 549-560.
-
(1974)
Math. Comp.
, vol.28
, pp. 549-560
-
-
Dennis, J.E.1
Moré, J.J.2
-
7
-
-
0002558941
-
Quasi-Newton methods for unconstrained optimization
-
P. E. GILL AND and M. MURRAY, Quasi-Newton methods for unconstrained optimization, J. Inst. Math. Appl., 9 (1972), pp. 91-108.
-
(1972)
J. Inst. Math. Appl.
, vol.9
, pp. 91-108
-
-
Gill, P.E.1
Murray, M.2
-
8
-
-
0004236492
-
-
The Johns Hopkins University Press, Baltimore, MD
-
G. H. GOLUB AND C. VAN LOAN, Matrix Computations, The Johns Hopkins University Press, Baltimore, MD, 1983.
-
(1983)
Matrix Computations
-
-
Golub, G.H.1
Van Loan, C.2
-
9
-
-
0027110831
-
Local convergence of quasi-Newton methods for B-differentiable equations
-
C.-M. IP AND T. KYPARISIS, Local convergence of quasi-Newton methods for B-differentiable equations, Math. Programming, 56 (1992), pp. 71-89.
-
(1992)
Math. Programming
, vol.56
, pp. 71-89
-
-
Ip, C.-M.1
Kyparisis, T.2
-
10
-
-
0004219579
-
-
Technical summary report 1966, Mathematical Research Center, University of Wisconsin, Madison, WI
-
N. H. JOSEPHY, Quasi-Newton Methods for Generalized Equations, Technical summary report 1966, Mathematical Research Center, University of Wisconsin, Madison, WI, 1979.
-
(1979)
Quasi-Newton Methods for Generalized Equations
-
-
Josephy, N.H.1
-
12
-
-
85153127913
-
Newton's method for non-differentiable functions
-
J. Guddat, B. Bank, H. Hollatz, P. Kall, D. Klatte, B. Kummer, K. Lommatzsch, L. Tammer, M. Vlach, and K. Zimmerman, eds., Academi Verlag, Berlin
-
B. KUMMER, Newton's method for non-differentiable functions, in Advances in Mathematical Programming, J. Guddat, B. Bank, H. Hollatz, P. Kall, D. Klatte, B. Kummer, K. Lommatzsch, L. Tammer, M. Vlach, and K. Zimmerman, eds., Academi Verlag, Berlin, 1988, pp. 114-125.
-
(1988)
Advances in Mathematical Programming
, pp. 114-125
-
-
Kummer, B.1
-
13
-
-
0001472237
-
Newton's method based on generalized derivatives for nonsmooth functions: Convergence analysis
-
W. Oettli and D. Pallaschke, eds., Springer, Berlin
-
B. KUMMER, Newton's method based on generalized derivatives for nonsmooth functions: Convergence analysis, in Lecture Notes in Economics and Mathematical Systems 382: Advances in Optimization, W. Oettli and D. Pallaschke, eds., Springer, Berlin, 1992, pp. 171-194.
-
(1992)
Lecture Notes in Economics and Mathematical Systems 382: Advances in Optimization
, vol.382
, pp. 171-194
-
-
Kummer, B.1
-
14
-
-
0000012763
-
Semismooth and semiconvex functions in constrained optimization
-
M. MIFFLIN, Semismooth and semiconvex functions in constrained optimization, SIAM J. Control Optim., 15 (1977), pp. 957-972.
-
(1977)
SIAM J. Control Optim.
, vol.15
, pp. 957-972
-
-
Mifflin, M.1
-
16
-
-
0000804782
-
The implicit complementarity problem
-
O. L. Mangasarian, S. M. Robinson, and P. R. Meyer, eds., Academic Press, New York
-
J.-S. PANG, The implicit complementarity problem, in Nonlinear Programming 4, O. L. Mangasarian, S. M. Robinson, and P. R. Meyer, eds., Academic Press, New York, 1981, pp. 487-518.
-
(1981)
Nonlinear Programming
, vol.4
, pp. 487-518
-
-
Pang, J.-S.1
-
17
-
-
0001601094
-
Newton's method for B-differentiable equations
-
J.-S. PANG, Newton's method for B-differentiable equations, Math. Oper. Res., 15 (1990), pp. 311-341.
-
(1990)
Math. Oper. Res.
, vol.15
, pp. 311-341
-
-
Pang, J.-S.1
-
18
-
-
0026185912
-
A B-differentiable equation-based, globally and locally quadratically convergent algorithm for nonlinear programs, complementarity and variational inequality problems
-
J.-S. PANG, A B-differentiable equation-based, globally and locally quadratically convergent algorithm for nonlinear programs, complementarity and variational inequality problems, Math. Programming, 51 (1991), pp. 101-131.
-
(1991)
Math. Programming
, vol.51
, pp. 101-131
-
-
Pang, J.-S.1
-
19
-
-
34250083447
-
NE/SQP: A robust algorithm for the nonlinear complementarity problem
-
J.-S. PANG AND S. A. GABRIEL, NE/SQP: A robust algorithm for the nonlinear complementarity problem, Math. Programming, 60 (1993), pp. 295-337.
-
(1993)
Math. Programming
, vol.60
, pp. 295-337
-
-
Pang, J.-S.1
Gabriel, S.A.2
-
20
-
-
0003317924
-
Nonsmooth equations: Motivation and algorithms
-
J.-S. PANG AND L. QI, Nonsmooth equations: Motivation and algorithms, SIAM J. Optim., 3 (1993), pp. 443-465.
-
(1993)
SIAM J. Optim.
, vol.3
, pp. 443-465
-
-
Pang, J.-S.1
Qi, L.2
-
21
-
-
0000607524
-
Convergence analysis of some algorithms for solving nonsmooth equations
-
L. QI, Convergence analysis of some algorithms for solving nonsmooth equations, Math. Oper. Res., 18 (1993), pp. 227-244.
-
(1993)
Math. Oper. Res.
, vol.18
, pp. 227-244
-
-
Qi, L.1
-
22
-
-
0027543961
-
A nonsmooth version of Newton's method
-
L. QI AND J. SUN, A nonsmooth version of Newton's method, Math. Programming, 58 (1993), pp. 353-368.
-
(1993)
Math. Programming
, vol.58
, pp. 353-368
-
-
Qi, L.1
Sun, J.2
-
23
-
-
0039285183
-
-
Applied Mathematics Preprint 89/33, School of Mathematics, The University of New South Wales, Sydney, Australia
-
L. QI AND J. SUN, A Nonsmooth Version of Newton's Method and an Interior Point Algorithm for Convex Programming, Applied Mathematics Preprint 89/33, School of Mathematics, The University of New South Wales, Sydney, Australia, 1991.
-
(1991)
A Nonsmooth Version of Newton's Method and an Interior Point Algorithm for Convex Programming
-
-
Qi, L.1
Sun, J.2
-
24
-
-
0018977011
-
Strongly regular generalized equations
-
S. M. ROBINSON, Strongly regular generalized equations, Math. Oper. Res., 5 (1980), pp. 43-62.
-
(1980)
Math. Oper. Res.
, vol.5
, pp. 43-62
-
-
Robinson, S.M.1
-
25
-
-
0020702702
-
Local structure of feasible sets in nonlinear programming, Part III: Stability and sensitivity
-
S. M. ROBINSON, Local structure of feasible sets in nonlinear programming, Part III: Stability and sensitivity, Math. Programming Study, 30 (1987), pp. 45-66.
-
(1987)
Math. Programming Study
, vol.30
, pp. 45-66
-
-
Robinson, S.M.1
-
26
-
-
0000306237
-
Newton's methods for a class of nonsmooth functions
-
S. M. ROBINSON, Newton's methods for a class of nonsmooth functions, Set-Valued Analysis, 2 (1994), pp. 292-305.
-
(1994)
Set-valued Analysis
, vol.2
, pp. 292-305
-
-
Robinson, S.M.1
-
27
-
-
0025485978
-
On concepts of directional differentiability
-
A. SHAPIRO, On concepts of directional differentiability, J. Optim. Theory Appl., 66 (1990), pp. 477-487.
-
(1990)
J. Optim. Theory Appl.
, vol.66
, pp. 477-487
-
-
Shapiro, A.1
-
28
-
-
0039285184
-
A class of almost-differentiable functions and a minimization method for functions of this class
-
N. Z. SHOR, A class of almost-differentiable functions and a minimization method for functions of this class, Kibernetic, 4 (1972), pp. 65-70.
-
(1972)
Kibernetic
, vol.4
, pp. 65-70
-
-
Shor, N.Z.1
-
29
-
-
0022488197
-
Sensitivity analysis for variational inequalities
-
R. L. TOBIN, Sensitivity analysis for variational inequalities, J. Optim. Theory Appl., 48 (1986), pp. 191-204.
-
(1986)
J. Optim. Theory Appl.
, vol.48
, pp. 191-204
-
-
Tobin, R.L.1
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