-
1
-
-
0001423485
-
A tool for the analysis of quasi-Newton methods with application to unconstrained minimization
-
Byrd R., and Nocedal J. A tool for the analysis of quasi-Newton methods with application to unconstrained minimization. SIAM Journal on Numerical Analysis 26 (1989) 727-739
-
(1989)
SIAM Journal on Numerical Analysis
, vol.26
, pp. 727-739
-
-
Byrd, R.1
Nocedal, J.2
-
2
-
-
0023427318
-
Global convergence of a class of quasi-Newton methods on convex problems
-
Byrd R., Nocedal J., and Yuan Y. Global convergence of a class of quasi-Newton methods on convex problems. SIAM Journal on Numerical Analysis 24 (1987) 1171-1189
-
(1987)
SIAM Journal on Numerical Analysis
, vol.24
, pp. 1171-1189
-
-
Byrd, R.1
Nocedal, J.2
Yuan, Y.3
-
3
-
-
0042659410
-
Convergence properties of the BFGS algorithm
-
Dai Y. Convergence properties of the BFGS algorithm. SIAM Journal on Optimization 13 (2003) 693-701
-
(2003)
SIAM Journal on Optimization
, vol.13
, pp. 693-701
-
-
Dai, Y.1
-
4
-
-
0004041275
-
-
Pretice-Hall, Inc., Englewood Cliffs, NJ
-
Dennis J.E., and Schnabel R.B. Numerical Methods for Unconstrained Optimization and Nonlinear Equations (1983), Pretice-Hall, Inc., Englewood Cliffs, NJ
-
(1983)
Numerical Methods for Unconstrained Optimization and Nonlinear Equations
-
-
Dennis, J.E.1
Schnabel, R.B.2
-
6
-
-
0000782630
-
Local convergence analysis for partitioned quasi-Newton updates
-
Griewank A., and Toint Ph.L. Local convergence analysis for partitioned quasi-Newton updates. Numerische Mathematik 39 (1982) 429-448
-
(1982)
Numerische Mathematik
, vol.39
, pp. 429-448
-
-
Griewank, A.1
Toint, Ph.L.2
-
8
-
-
0035301251
-
A modified BFGS method and its global convergence in nonconvex minimization
-
Li D., and Fukushima M. A modified BFGS method and its global convergence in nonconvex minimization. Journal of Computational and Applied Mathematics 129 (2001) 15-35
-
(2001)
Journal of Computational and Applied Mathematics
, vol.129
, pp. 15-35
-
-
Li, D.1
Fukushima, M.2
-
9
-
-
0002340344
-
A new algorithm for unconstrained optimation
-
Rosen J.B., Mangasarian O.L., and Ritter K. (Eds), Academic Press, New York
-
Powell M.J.D. A new algorithm for unconstrained optimation. In: Rosen J.B., Mangasarian O.L., and Ritter K. (Eds). Nonlinear Programming (1970), Academic Press, New York
-
(1970)
Nonlinear Programming
-
-
Powell, M.J.D.1
-
11
-
-
5544237802
-
The superlinear convergence of a modified BFGS-type method for unconstrained optimization
-
Wei Z., Yu G., Yuan G., and Lian Z. The superlinear convergence of a modified BFGS-type method for unconstrained optimization. Computational Optimization and Applications 29 (2004) 315-332
-
(2004)
Computational Optimization and Applications
, vol.29
, pp. 315-332
-
-
Wei, Z.1
Yu, G.2
Yuan, G.3
Lian, Z.4
-
12
-
-
33645848452
-
New quasi-Newton methods for unconstrained optimization problems
-
Wei Z., Li G., and Qi L. New quasi-Newton methods for unconstrained optimization problems. Applied Mathematics and Computation 175 (2006) 1156-1188
-
(2006)
Applied Mathematics and Computation
, vol.175
, pp. 1156-1188
-
-
Wei, Z.1
Li, G.2
Qi, L.3
-
13
-
-
0041740114
-
The 'global' convergence of Broyden-like methods with a suitable line search
-
Griewank A. The 'global' convergence of Broyden-like methods with a suitable line search. Journal of the Australian Mathematical Society Series B 28 (1986) 75-92
-
(1986)
Journal of the Australian Mathematical Society Series B
, vol.28
, pp. 75-92
-
-
Griewank, A.1
-
14
-
-
0039010677
-
A global and superlinear convergent Gauss-Newton-based BFGS method for symmetric nonlinear equations
-
Li D., and Fukushima M. A global and superlinear convergent Gauss-Newton-based BFGS method for symmetric nonlinear equations. SIAM Journal on Numerical Analysis 37 (1999) 152-172
-
(1999)
SIAM Journal on Numerical Analysis
, vol.37
, pp. 152-172
-
-
Li, D.1
Fukushima, M.2
-
15
-
-
36349000070
-
An approximate Gauss-Newton-based BFGS method with descent directions for solving symmetric nonlinear equations
-
Yuan G., and Li X. An approximate Gauss-Newton-based BFGS method with descent directions for solving symmetric nonlinear equations. OR Transactions 8 4 (2004) 10-26
-
(2004)
OR Transactions
, vol.8
, Issue.4
, pp. 10-26
-
-
Yuan, G.1
Li, X.2
-
16
-
-
36349030906
-
A nonmonotone Gauss-Newton-based BFGS method for solving symmetric nonlinear equations
-
Yuan G., and Lu X. A nonmonotone Gauss-Newton-based BFGS method for solving symmetric nonlinear equations. Journal of Lanzhou University (Natural Sciences) 41 Suppl. (2005) 851-855
-
(2005)
Journal of Lanzhou University (Natural Sciences)
, vol.41
, Issue.SUPPL
, pp. 851-855
-
-
Yuan, G.1
Lu, X.2
-
17
-
-
10644282908
-
Nonmonotone backtracking inexact quasi-Newton algorithms for solving smmoth nonlinear equations
-
Zhu D. Nonmonotone backtracking inexact quasi-Newton algorithms for solving smmoth nonlinear equations. Applied Mathematics and Computation 161 (2005) 875-895
-
(2005)
Applied Mathematics and Computation
, vol.161
, pp. 875-895
-
-
Zhu, D.1
-
18
-
-
0000301196
-
Convergence theorey of nonlinear Newton-Kryloy algorithms
-
Brown P.N., and Saad Y. Convergence theorey of nonlinear Newton-Kryloy algorithms. SIAM Journal on Optimization 4 (1994) 297-330
-
(1994)
SIAM Journal on Optimization
, vol.4
, pp. 297-330
-
-
Brown, P.N.1
Saad, Y.2
-
19
-
-
84966259557
-
A characteization of superlinear convergence and its application to quasi-Newton methods
-
Dennis J.E., and Moré J.J. A characteization of superlinear convergence and its application to quasi-Newton methods. Mathematics of Computation 28 (1974) 549-560
-
(1974)
Mathematics of Computation
, vol.28
, pp. 549-560
-
-
Dennis, J.E.1
Moré, J.J.2
-
20
-
-
0002663672
-
Quasi-Newton methods, motivation and theory
-
Dennis Jr. J.E., and Moré J.J. Quasi-Newton methods, motivation and theory. SIAM Review 19 (1977) 46-89
-
(1977)
SIAM Review
, vol.19
, pp. 46-89
-
-
Dennis Jr., J.E.1
Moré, J.J.2
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