-
1
-
-
84966233568
-
Multi-level adaptative solutions to boundary value problems
-
A. Brandt, Multi-level adaptative solutions to boundary value problems, Math. Comp. 31(138) (1997), pp. 333-390.
-
(1997)
Math. Comp
, vol.31
, Issue.138
, pp. 333-390
-
-
Brandt, A.1
-
2
-
-
0004185470
-
-
2nd ed. SIAM, Philadelphia
-
W.L. Briggs, V.E. Henson, and S.F. McCormick, A Multigrid Tutorial, 2nd ed. SIAM, Philadelphia, 2000.
-
(2000)
A Multigrid Tutorial
-
-
Briggs, W.L.1
Henson, V.E.2
McCormick, S.F.3
-
3
-
-
0003363236
-
Trust-Region Methods
-
SIAM, Philadelphia
-
A.R. Conn, N.I.M. Gould, and Ph.L. Toint, Trust-Region Methods. MPS-SIAM Series on Optimization No. 1, SIAM, Philadelphia, 2000.
-
(2000)
MPS-SIAM Series on Optimization
, vol.1
-
-
Conn, A.R.1
Gould, N.I.M.2
Toint, P.L.3
-
5
-
-
0000955796
-
Computing optimal locally constrained steps
-
D.M. Gay, Computing optimal locally constrained steps, SIAM J. Sci. Stat. Comput. 2 (1981), pp. 186-197.
-
(1981)
SIAM J. Sci. Stat. Comput
, vol.2
, pp. 186-197
-
-
Gay, D.M.1
-
7
-
-
85120507660
-
-
S. Gratton et al., A recursive trust-region method in infinity norm for bound-constrained nonlinear optimization, preprint (2008), to appear in IMA J. Numer. Anal. Available at http://www.optimization-online.org/DB-HTML/ 2007/04/1647.html.
-
S. Gratton et al., A recursive trust-region method in infinity norm for bound-constrained nonlinear optimization, preprint (2008), to appear in IMA J. Numer. Anal. Available at http://www.optimization-online.org/DB-HTML/ 2007/04/1647.html.
-
-
-
-
8
-
-
55849140799
-
Numerical experience with a recursive trust-region method for multilevel nonlinear optimization
-
Tech. Rep. 06/01, Department of Mathematics, University of Namur, FUNDP, Namur, Belgium
-
S. Gratton, A. Sartenaer, and Ph.L. Toint, Numerical experience with a recursive trust-region method for multilevel nonlinear optimization, Tech. Rep. 06/01, Department of Mathematics, University of Namur - FUNDP, Namur, Belgium, 2006a.
-
(2006)
-
-
Gratton, S.1
Sartenaer, A.2
Toint, P.L.3
-
9
-
-
33846134001
-
Second-order convergence properties of trust-region methods using incomplete curvature information, with an application to multigrid optimization
-
S. Gratton, A. Sartenaer, and Ph.L. Toint, Second-order convergence properties of trust-region methods using incomplete curvature information, with an application to multigrid optimization, J. Comput. Appl. Math. 24(6) (2006), pp. 676-692.
-
(2006)
J. Comput. Appl. Math
, vol.24
, Issue.6
, pp. 676-692
-
-
Gratton, S.1
Sartenaer, A.2
Toint, P.L.3
-
10
-
-
61349175317
-
Recursive trust-region methods for multiscale nonlinear optimization
-
S. Gratton, A. Sartenaer, and Ph.L. Toint, Recursive trust-region methods for multiscale nonlinear optimization, SIAM J. Optim. 19 (2008), pp. 414-444.
-
(2008)
SIAM J. Optim
, vol.19
, pp. 414-444
-
-
Gratton, S.1
Sartenaer, A.2
Toint, P.L.3
-
11
-
-
0003894896
-
An algorithm for minimization using exact second derivatives
-
P, AERE Harwell Laboratory, Harwell, Oxfordshire, England
-
M.D. Hebden, An algorithm for minimization using exact second derivatives, Tech. Rep. T.P. 515, AERE Harwell Laboratory, Harwell, Oxfordshire, England, 1973.
-
(1973)
Tech. Rep. T
, pp. 515
-
-
Hebden, M.D.1
-
12
-
-
19844364417
-
Model problems for the multigrid optimization of systems governed by differential equations
-
M. Lewis and S.G. Nash, Model problems for the multigrid optimization of systems governed by differential equations, SIAM J. Sci. Comput. 26(6) (2005), pp. 1811-1837.
-
(2005)
SIAM J. Sci. Comput
, vol.26
, Issue.6
, pp. 1811-1837
-
-
Lewis, M.1
Nash, S.G.2
-
13
-
-
0000677797
-
A multilevel variational method for Au = λBu on composite grids
-
J. Mandel and S. McCormick, A multilevel variational method for Au = λBu on composite grids, J. Comput. Phys. 80(2) (1989), pp. 442-452.
-
(1989)
J. Comput. Phys
, vol.80
, Issue.2
, pp. 442-452
-
-
Mandel, J.1
McCormick, S.2
-
14
-
-
0001818862
-
On the use of directions of negative curvature in a modified Newton method
-
J.J. Moré and D.C. Sorensen, On the use of directions of negative curvature in a modified Newton method, Math. Program. 16(1) (1979), pp. 1-20.
-
(1979)
Math. Program
, vol.16
, Issue.1
, pp. 1-20
-
-
Moré, J.J.1
Sorensen, D.C.2
-
15
-
-
84976845336
-
Testing unconstrained optimization software
-
J.J. Moré, B.S. Garbow, and K.E. Hillstrom, Testing unconstrained optimization software, ACM Trans. Math. Softw. 7(1) (1981), pp. 17-41.
-
(1981)
ACM Trans. Math. Softw
, vol.7
, Issue.1
, pp. 17-41
-
-
Moré, J.J.1
Garbow, B.S.2
Hillstrom, K.E.3
-
16
-
-
0034452269
-
A multigrid approach to discretized optimization problems
-
S.G. Nash, A multigrid approach to discretized optimization problems, Optim. Methods Softw. 14 (2000), pp. 99-116.
-
(2000)
Optim. Methods Softw
, vol.14
, pp. 99-116
-
-
Nash, S.G.1
-
17
-
-
11844254778
-
A general framework for nonlinear multigrid inversion
-
S. Oh et al., A general framework for nonlinear multigrid inversion, IEEE Trans. Image Process. 14(1) (2005), pp. 125-140.
-
(2005)
IEEE Trans. Image Process
, vol.14
, Issue.1
, pp. 125-140
-
-
Oh, S.1
-
18
-
-
0001382978
-
Newton's method with a model trust-region modification
-
D.C. Sorensen, Newton's method with a model trust-region modification, SIAM J. Numer. Anal. 19(2) (1982), pp. 409-426.
-
(1982)
SIAM J. Numer. Anal
, vol.19
, Issue.2
, pp. 409-426
-
-
Sorensen, D.C.1
-
19
-
-
0000305846
-
The conjugate gradient method and trust regions in large scale optimization
-
T. Steihaug, The conjugate gradient method and trust regions in large scale optimization, SIAM J. Numer. Anal. 20(3) (1983), pp. 626-637.
-
(1983)
SIAM J. Numer. Anal
, vol.20
, Issue.3
, pp. 626-637
-
-
Steihaug, T.1
-
20
-
-
0004239925
-
-
Elsevier, Amsterdam, The Netherlands
-
U. Trottenberg, C.W. Oosterlee, and A. Schüller, Multigrid, Elsevier, Amsterdam, The Netherlands, 2001.
-
(2001)
Multigrid
-
-
Trottenberg, U.1
Oosterlee, C.W.2
Schüller, A.3
-
21
-
-
0039924878
-
Proving polynomial-time for sphere-constrained quadratic programming
-
90-1182, Department of Computer Science, Cornell University, Ithaca, New York, US A
-
S.A. Vavasis and R. Zippel, Proving polynomial-time for sphere-constrained quadratic programming, Tech. Rep. TR 90-1182, Department of Computer Science, Cornell University, Ithaca, New York, US A, 1990.
-
(1990)
Tech. Rep. TR
-
-
Vavasis, S.A.1
Zippel, R.2
-
22
-
-
61349140342
-
-
Z. Wen and D. Goldfarb, A linesearch multigrid methods for large-scale convex optimization, Tech. Rep 2007-07, Department of Industrial Engineering and Operations Research, Columbia University, New York, July 2007.
-
Z. Wen and D. Goldfarb, A linesearch multigrid methods for large-scale convex optimization, Tech. Rep 2007-07, Department of Industrial Engineering and Operations Research, Columbia University, New York, July 2007.
-
-
-
|