-
1
-
-
84858653181
-
Automatic differentiation: Applications, theory, and implementations
-
Springer, New York
-
Bücker, H.M., Corliss, G.F., Hovland, P., Naumann, U., Norris, B. (eds.): Automatic Differentiation: Applications, Theory, and Implementations. Lecture Notes in Computational Science and Engineering, vol 50. Springer, New York (2005)
-
(2005)
Lecture Notes in Computational Science and Engineering
, vol.50
-
-
Bücker, H.M.1
Corliss, G.F.2
Hovland, P.3
Naumann, U.4
Norris, B.5
-
2
-
-
0000302437
-
On the local and superlinear convergence of quasi-newton methods
-
Broyden, C.G., Dennis, J.E. Jr., Moré, J.J.: On the local and superlinear convergence of quasi-Newton methods. JIMA 12, 223-246 (1973)
-
(1973)
JIMA
, vol.12
, pp. 223-246
-
-
Broyden, C.G.1
Dennis Jr., J.E.2
Moré, J.J.3
-
3
-
-
0001612957
-
Triangular factors of modified matrices
-
Bennett, J.M.: Triangular factors of modified matrices. Numer. Math. 7, 217-221 (1965)
-
(1965)
Numer. Math.
, vol.7
, pp. 217-221
-
-
Bennett, J.M.1
-
4
-
-
84968510937
-
A class of methods for solving nonlinear simultaneous equations
-
Broyden, C.G.: A class of methods for solving nonlinear simultaneous equations. Math. Comp. 19, 577-593 (1965)
-
(1965)
Math. Comp.
, vol.19
, pp. 577-593
-
-
Broyden, C.G.1
-
5
-
-
0001345577
-
Quasi-newton methods and their application to function minimization
-
Broyden, C.G.: Quasi-Newton methods and their application to function minimization. Math. Comp. 21, 368-381 (1967)
-
(1967)
Math. Comp.
, vol.21
, pp. 368-381
-
-
Broyden, C.G.1
-
6
-
-
0014630717
-
Aquadratic convergent newton-likemethod based upon gaussian elimination
-
Brown, K.M.:Aquadratic convergent Newton-likemethod based upon Gaussian elimination. J. Numer. Anal. 6, 560-569 (1969)
-
(1969)
J. Numer. Anal.
, vol.6
, pp. 560-569
-
-
Brown, K.M.1
-
7
-
-
84968478879
-
The convergence of an algorithm for solving sparse nonlinear systems
-
Broyden, C.G.: The convergence of an algorithm for solving sparse nonlinear systems. Math. Comp. 25, 285-294 (1971)
-
(1971)
Math. Comp.
, vol.25
, pp. 285-294
-
-
Broyden, C.G.1
-
8
-
-
33845521414
-
Convergence of quasi-newton matrices generated by the symmetric rank one update
-
Conn, A.R., Gould, N.I.M., Toint, Ph.L.: Convergence of quasi-Newton matrices generated by the symmetric rank one update. Math. Progr. 50, 177-195 (1991)
-
(1991)
Math. Progr.
, vol.50
, pp. 177-195
-
-
Conn, A.R.1
Gould, N.I.M.2
Toint, Ph.L.3
-
9
-
-
42249095971
-
Variance algorithms for minimization
-
Davidon, W.C.: Variance algorithms for minimization. Comp. J. 10, 406-410 (1968)
-
(1968)
Comp. J.
, vol.10
, pp. 406-410
-
-
Davidon, W.C.1
-
11
-
-
84966259557
-
A characterization of superlinear convergence and its application to quasi-newton methods
-
Dennis, J.E. Jr., Moré, J.J.: A characterization of superlinear convergence and its application to quasi-Newton methods. Math. Comp. 28, 549-560 (1974)
-
(1974)
Math. Comp.
, vol.28
, pp. 549-560
-
-
Dennis Jr., J.E.1
Moré, J.J.2
-
14
-
-
0000346582
-
Some convergence properties of broyden's method
-
Gay, D.M.: Some convergence properties of Broyden's method. SIAM J. Numer. Anal. 16, 623-630 (1979)
-
(1979)
SIAM J. Numer. Anal.
, vol.16
, pp. 623-630
-
-
Gay, D.M.1
-
15
-
-
0030168036
-
Adol-c: A package for automatic differentiation of algorithms written in c/c++
-
Griewank, A., Juedes, D., Utke, J.: ADOL-C: A package for automatic differentiation of algorithms written in C/C++. TOMS 22, 131-167 (1996)
-
(1996)
TOMS
, vol.22
, pp. 131-167
-
-
Griewank, A.1
Juedes, D.2
Utke, J.3
-
16
-
-
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. J. Aust. Math. Soc. Ser. B 28, 75-92 (1986)
-
(1986)
J. Aust. Math. Soc. Ser.
, vol.B 28
, pp. 75-92
-
-
Griewank, A.1
-
17
-
-
0003767674
-
Evaluating derivatives: Principles and techniques of algorithmic differentiation. Number 19
-
Griewank, A.: Evaluating derivatives: principles and techniques of algorithmic differentiation. Number 19 in Frontiers in Appl. Math. SIAM, 2000
-
(2000)
Frontiers in Appl. Math. SIAM
-
-
Griewank, A.1
-
18
-
-
0346721147
-
Solving systems of nonlinear equations by broyden's method with projected updates
-
In: Mangasarian, O., Meyer, R., Robinson, S. (eds.) Academic Press, NY
-
Gay, D.M., Schnabel, R.B.: Solving systems of nonlinear equations by Broyden's method with projected updates. In: Mangasarian, O., Meyer, R., Robinson, S. (eds.) Nonlinear Programming, vol 3. Academic Press, NY, pp. 245-281 (1978)
-
(1978)
Nonlinear Programming
, vol.3
, pp. 245-281
-
-
Gay, D.M.1
Schnabel, R.B.2
-
19
-
-
40249094612
-
A quasi-newton method with optimal r-order without independence assumption
-
Griewank, A., Schlenkrich, S., Walther, A.: A quasi-Newton method with optimal R-order without independence assumption. Opt. Meth. Soft. 23(2), 215-225 (2008)
-
(2008)
Opt. Meth. Soft.
, vol.23
, Issue.2
, pp. 215-225
-
-
Griewank, A.1
Schlenkrich, S.2
Walther, A.3
-
21
-
-
0036817650
-
On constrained optimization by adjoint based quasi-newton methods
-
Griewank, A.,Walther, A.: On constrained optimization by adjoint based quasi-Newton methods. Opt. Meth. Soft. 17, 869-889 (2002)
-
(2002)
Opt. Meth. Soft.
, vol.17
, pp. 869-889
-
-
Griewank, A.1
Walther, A.2
-
22
-
-
13744252043
-
Quasi-newton methods for large scale electromagnetic inverse problems
-
Haber, E.: Quasi-Newton methods for large scale electromagnetic inverse problems. Inverse Problems 21, 305-317 (2004)
-
(2004)
Inverse Problems
, vol.21
, pp. 305-317
-
-
Haber, E.1
-
24
-
-
84976787118
-
Numerical solution of nonlinear equations
-
Moré, J.J., Cosnard, M.Y.: Numerical solution of nonlinear equations. TOMS 5, 64-85 (1979)
-
(1979)
TOMS
, vol.5
, pp. 64-85
-
-
Moré, J.J.1
Cosnard, M.Y.2
-
25
-
-
84976845336
-
Testing unconstrained optimization software
-
Moré, J.J., Garbow, B.S., Hillstrom, K.E.: Testing unconstrained optimization software. TOMS 7, 17-41 (1981)
-
(1981)
TOMS
, vol.7
, pp. 17-41
-
-
Moré, J.J.1
Garbow, B.S.2
Hillstrom, K.E.3
-
33
-
-
61549105237
-
Global convergence of quasi-newton methods based on adjoint tangent rank-1 updates. Tu dresden preprintmath-wr-02-2006
-
doi:10.1016/j.apnum.200805007
-
Schlenkrich, S.,Walther, A.: Global convergence of quasi-Newton methods based on Adjoint Tangent Rank-1 updates. TU Dresden PreprintMATH-WR-02-2006. Appl. Numer.Math. (2008), doi:10.1016/j.apnum.2008.05.007
-
(2008)
Appl. Numer.Math.
-
-
Schlenkrich, S.1
Walther, A.2
-
34
-
-
84897580128
-
-
In Bücker et al. [1]
-
Schlenkrich, S., Walther, A., Griewank, A.: AD-based quasi-Newton methods for the integration of stiff ODEs. In Bücker et al. [1], pp. 89-98
-
AD-based quasi-Newton methods for the integration of stiff ODEs
, pp. 89-98
-
-
Schlenkrich, S.1
Walther, A.2
Griewank, A.3
|