-
1
-
-
0036703345
-
Convergence properties of the inexact Levenberg-marquardt method under local error bound
-
H. Dan, N. Yamashita, and M. Fukushima,"Convergence properties of the inexact Levenberg-Marquardt method under local error bound," Optimization Methods and Software, vol. 17, pp. 605-626, 2002.
-
(2002)
Optimization Methods and Software
, vol.17
, pp. 605-626
-
-
Dan, H.1
Yamashita, N.2
Fukushima, M.3
-
2
-
-
13744251115
-
On the quadratic convergence of the Levenberg-marquardt method without nonsingularity assumption
-
J.Y. Fan and Y.X. Yuan,"On the quadratic convergence of the Levenberg-Marquardt method without nonsingularity assumption," Computing, vol. 74, no. 1, pp. 23-39, 2005.
-
(2005)
Computing
, vol.74
, Issue.1
, pp. 23-39
-
-
Fan, J.Y.1
Yuan, Y.X.2
-
3
-
-
0742266953
-
A modified Levenberg-marquardt algorithm for singular system of nonlinear equations
-
J.Y. Fan,"A modified Levenberg-Marquardt algorithm for singular system of nonlinear equations," Journal of Computational Mathematics, vol. 21, no. 5, pp. 625-636, 2003.
-
(2003)
Journal of Computational Mathematics
, vol.21
, Issue.5
, pp. 625-636
-
-
Fan, J.Y.1
-
4
-
-
33646590789
-
A self-adaptive trust region algorithm
-
Chinese Academy of Sciences
-
L. Hei,"A self-adaptive trust region algorithm," Report, AMSS, Chinese Academy of Sciences, 2000.
-
(2000)
Report, AMSS
-
-
Hei, L.1
-
5
-
-
0000873069
-
A method for the solution of certain nonlinear problems in least squares
-
K. Levenberg,"A method for the solution of certain nonlinear problems in least squares," Quart. Appl. Math., vol. 2, pp. 164-166, 1944.
-
(1944)
Quart. Appl. Math.
, vol.2
, pp. 164-166
-
-
Levenberg, K.1
-
6
-
-
0000169232
-
An algorithm for least-squares estimation of nonlinear inequalities
-
D.W. Marquardt,"An algorithm for least-squares estimation of nonlinear inequalities," SIAM J. Appl. Math., vol. 11, pp. 431-441, 1963.
-
(1963)
SIAM J. Appl. Math.
, vol.11
, pp. 431-441
-
-
Marquardt, D.W.1
-
7
-
-
0001362410
-
The Levenberg-marquardt algorithm: Implementation and theory
-
G.A. Watson (Ed.), Springer-Verlag: Berlin
-
J.J. Moré,"The Levenberg-Marquardt algorithm: implementation and theory," in Lecture Notes in Mathematics 630: Numerical Analysis, G.A. Watson (Ed.), Springer-Verlag: Berlin, 1978, pp. 105-116.
-
(1978)
Lecture Notes in Mathematics 630: Numerical Analysis
, pp. 105-116
-
-
Moré, J.J.1
-
8
-
-
0003162836
-
Recent developments in algorithms and software for trust region methods
-
A. Bachern, M. Grötschel and B. Korte (Eds.), Springer: Berlin
-
J.J. Moré,"Recent developments in algorithms and software for trust region methods," in Mathematical Programming: The State of Art, A. Bachern, M. Grötschel and B. Korte (Eds.), Springer: Berlin, 1983, pp. 258-287.
-
(1983)
Mathematical Programming: the State of Art
, pp. 258-287
-
-
Moré, J.J.1
-
9
-
-
84976845336
-
Testing unconstrained optimization software
-
J.J. Moré, B.S. Garbow, and K.H. Hillstrom,"Testing unconstrained optimization software," ACM Trans. Math. Software, vol. 7, pp. 17-41, 1981.
-
(1981)
ACM Trans. Math. Software
, vol.7
, pp. 17-41
-
-
Moré, J.J.1
Garbow, B.S.2
Hillstrom, K.H.3
-
10
-
-
0002468725
-
Combining trust region and line search techniques
-
Y. Yuan (Ed.), Kluwer
-
J. Nocedal and Y.X. Yuan,"Combining trust region and line search techniques," in Advances in Nonlinear Programming, Y. Yuan (Ed.), Kluwer, pp. 153-175, 1998.
-
(1998)
Advances in Nonlinear Programming
, pp. 153-175
-
-
Nocedal, J.1
Yuan, Y.X.2
-
11
-
-
0002302301
-
Convergence properties of a class of minimization algorithms
-
O.L. Mangasarian, R.R. Meyer, and S.M. Robinson (Eds.), Academic Press: New York
-
M.J.D. Powell,"Convergence properties of a class of minimization algorithms," in Nonlinear Programming 2, O.L. Mangasarian, R.R. Meyer, and S.M. Robinson (Eds.), Academic Press: New York, 1975, pp. 1-27.
-
(1975)
Nonlinear Programming
, vol.2
, pp. 1-27
-
-
Powell, M.J.D.1
-
12
-
-
0021510543
-
Tensor methods for nonlinear equations
-
R.B. Schnabel and P.D. Frank,"Tensor methods for nonlinear equations," SIAM J. Numer. Anal., vol. 21, pp. 815-843, 1984.
-
(1984)
SIAM J. Numer. Anal.
, vol.21
, pp. 815-843
-
-
Schnabel, R.B.1
Frank, P.D.2
-
14
-
-
0011662308
-
On the rate of convergence of the Levenberg-Marquardt method
-
N. Yamashita and M. Fukushima,"On the rate of convergence of the Levenberg-Marquardt method," Computing (Suppl), vol. 15, pp. 239-249, 2001.
-
(2001)
Computing
, vol.15
, Issue.SUPPL.
, pp. 239-249
-
-
Yamashita, N.1
Fukushima, M.2
-
15
-
-
0041760211
-
Trust region algorithms for nonlinear programming
-
Z.C. Shi (Ed.) , American Mathematics Society
-
Y.X. Yuan,"Trust region algorithms for nonlinear programming," in Contemporary Mathematics, Z.C. Shi (Ed.) vol. 163, American Mathematics Society, 1994, pp. 205-225.
-
(1994)
Contemporary Mathematics
, vol.163
, pp. 205-225
-
-
Yuan, Y.X.1
-
16
-
-
0013230184
-
Trust region algorithms for nonlinear equations
-
Y.X. Yuan,"Trust region algorithms for nonlinear equations," Information, vol. 1, pp. 7-20, 1998.
-
(1998)
Information
, vol.1
, pp. 7-20
-
-
Yuan, Y.X.1
|