-
1
-
-
0003312801
-
The geometry of population genetics
-
Springer-Verlag, Berlin
-
E. AKIN, The geometry of population genetics, Lecture Notes in Biomath. 31, Springer-Verlag, Berlin, 1979.
-
(1979)
Lecture Notes in Biomath.
, vol.31
-
-
Akin, E.1
-
2
-
-
0030303862
-
Viscosity solutions of minimization problems
-
H. ATTOUCH, Viscosity solutions of minimization problems, SIAM J. Optim., 6 (1996), pp. 769-806.
-
(1996)
SIAM J. Optim.
, vol.6
, pp. 769-806
-
-
Attouch, H.1
-
3
-
-
0012323301
-
A regularized Lotka-Volterra dynamical system as a continuous proximal-like method in optimization
-
to appear
-
H. ATTOUCH AND M. TEBOULLE, A regularized Lotka-Volterra dynamical system as a continuous proximal-like method in optimization, J. Optim. Theory Appl., to appear.
-
J. Optim. Theory Appl.
-
-
Attouch, H.1
Teboulle, A.M.2
-
4
-
-
0031072276
-
Asymptotic analysis for penalty and barrier methods in convex and linear programming
-
A. AUSLENDER, R. COMINETTI, AND M. HADDOU, Asymptotic analysis for penalty and barrier methods in convex and linear programming, Math. Oper. Res., 22 (1997), pp. 43-62.
-
(1997)
Math. Oper. Res.
, vol.22
, pp. 43-62
-
-
Auslender, A.1
Cominetti, R.2
Haddou, M.3
-
5
-
-
1942509685
-
Bregman monotone optimization algorithms
-
H. H. BAUSCHKE, J. M. BORWEIN, AND P. L. COMBETTES, Bregman monotone optimization algorithms, SIAM J. Control Optim., 42 (2003), pp. 596-636.
-
(2003)
SIAM J. Control Optim.
, vol.42
, pp. 596-636
-
-
Bauschke, H.H.1
Borwein, J.M.2
Combettes, P.L.3
-
6
-
-
84966258893
-
The nonlinear geometry of linear programming I. Affine and protective scaling trajectories
-
D. A. BAYER AND J. C. LAGARIAS, The nonlinear geometry of linear programming I. Affine and protective scaling trajectories. Trans. Amer. Math. Soc., 314 (1989), pp. 499-526.
-
(1989)
Trans. Amer. Math. Soc.
, vol.314
, pp. 499-526
-
-
Bayer, D.A.1
Lagarias, J.C.2
-
7
-
-
84966218491
-
The nonlinear geometry of linear programming II. Legendre transform coordinates and central trajectories
-
D. A. BAYER AND J. C. LAGARIAS, The nonlinear geometry of linear programming II. Legendre transform coordinates and central trajectories, Trans. Amer. Math. Soc., 314 (1989), pp. 527-581.
-
(1989)
Trans. Amer. Math. Soc.
, vol.314
, pp. 527-581
-
-
Bayer, D.A.1
Lagarias, A.J.C.2
-
8
-
-
4043180500
-
Barrier operators and associated gradient-like dynamical systems for constrained minimization problems
-
J. BOLTE AND M. TEBOULLE, Barrier operators and associated gradient-like dynamical systems for constrained minimization problems, SIAM J. Control Optim., 42 (2003), pp. 1266-1292.
-
(2003)
SIAM J. Control Optim.
, vol.42
, pp. 1266-1292
-
-
Bolte, J.1
Teboulle, M.2
-
9
-
-
0007642615
-
The relaxation method for finding the common point of convex sets and its application to the solution of problems in convex programming
-
in Russian
-
L. M. BREGMAN, The relaxation method for finding the common point of convex sets and its application to the solution of problems in convex programming, Zh. Vychisl. Mat. Mat. Piz., 7 (1967), pp. 620-631 (in Russian); English translation in Comput. Math. Math. Phys., 7 (1967), pp. 200-217.
-
(1967)
Zh. Vychisl. Mat. Mat. Piz.
, vol.7
, pp. 620-631
-
-
Bregman, L.M.1
-
10
-
-
49949144765
-
-
English translation in
-
L. M. BREGMAN, The relaxation method for finding the common point of convex sets and its application to the solution of problems in convex programming, Zh. Vychisl. Mat. Mat. Piz., 7 (1967), pp. 620-631 (in Russian); English translation in Comput. Math. Math. Phys., 7 (1967), pp. 200-217.
-
(1967)
Comput. Math. Math. Phys.
, vol.7
, pp. 200-217
-
-
-
11
-
-
0004504386
-
Dynamical systems that sort lists and solve linear programming problems
-
Austin, Texas, IEEE Press, Piscataway, NJ
-
R. W. BROCKETT, Dynamical systems that sort lists and solve linear programming problems, in Proceedings of IEEE Conference Decision and Control, Austin, Texas, 1988, IEEE Press, Piscataway, NJ, pp. 779-803.
-
(1988)
Proceedings of IEEE Conference Decision and Control
, pp. 779-803
-
-
Brockett, R.W.1
-
12
-
-
0002412868
-
Dynamical systems that sort lists, diagonalize matrices and solve linear programming problems
-
R. W. BROCKETT, Dynamical systems that sort lists, diagonalize matrices and solve linear programming problems, Linear Algebra Appl., 146 (1991), pp. 79-91.
-
(1991)
Linear Algebra Appl.
, vol.146
, pp. 79-91
-
-
Brockett, R.W.1
-
13
-
-
0002434869
-
Asymptotic convergence of non linear contraction semi-groups in Hilbert space
-
R. E. BRUCK, Asymptotic convergence of non linear contraction semi-groups in Hilbert space, J. Funct. Anal., 18 (1974), pp. 15-26.
-
(1974)
J. Funct. Anal.
, vol.18
, pp. 15-26
-
-
Bruck, R.E.1
-
14
-
-
0019587748
-
An iterative row action method for interval convex programming
-
Y. CENSOR AND A. LENT, An iterative row action method for interval convex programming, J. Optim. Theory Appl., 34 (1981), pp. 321-353.
-
(1981)
J. Optim. Theory Appl.
, vol.34
, pp. 321-353
-
-
Censor, Y.1
Lent, A.A.2
-
15
-
-
0026883817
-
Proximal minimization algorithm with D-functions
-
Y. CENSOR AND S. A. ZENIOS, Proximal minimization algorithm with D-functions, J. Optim. Theory Appl., 73 (1992), pp. 451-464.
-
(1992)
J. Optim. Theory Appl.
, vol.73
, pp. 451-464
-
-
Censor, Y.1
Zenios, A.S.A.2
-
16
-
-
0000433247
-
Convergence analysis of a proximal-like minimization algorithm using Bregman functions
-
G. CHEN AND M. TEBOULLE, Convergence analysis of a proximal-like minimization algorithm using Bregman functions, SIAM J. Optim., 3 (1993), pp. 538-543.
-
(1993)
SIAM J. Optim.
, vol.3
, pp. 538-543
-
-
Chen, G.1
Teboulle, A.M.2
-
17
-
-
0013532012
-
Nonlinear average and convergence of penalty trajectories in convex programming
-
Ill-Posed Variational Problems and Regularization Techniques (Trier, 1998), Springer, Berlin
-
R. COMINETTI, Nonlinear average and convergence of penalty trajectories in convex programming, in Ill-Posed Variational Problems and Regularization Techniques (Trier, 1998), Lecture Notes in Econom. and Math. Systems 477, Springer, Berlin, 1999, pp. 65-78.
-
(1999)
Lecture Notes in Econom. and Math. Systems
, vol.477
, pp. 65-78
-
-
Cominetti, R.1
-
18
-
-
0003135358
-
Asymptotic analysis of the exponential penalty trajectory in linear programming
-
R. COMINETTI AND J. SAN MARTÍN, Asymptotic analysis of the exponential penalty trajectory in linear programming, Math. Programming, 67 (1994), pp. 169-187.
-
(1994)
Math. Programming
, vol.67
, pp. 169-187
-
-
Cominetti, R.1
Martín, J.S.2
-
19
-
-
0041007320
-
-
Birkhäuser Boston, Cambridge, MA
-
M. P. DO CARMO, Riemannian Geometry (Mathematics, Theory, and Applications), Birkhäuser Boston, Cambridge, MA, 1992.
-
(1992)
Riemannian Geometry (Mathematics, Theory, and Applications)
-
-
Do Carmo, M.P.1
-
20
-
-
7244257320
-
On Hessian Riemannian structures
-
J. J. DUISTERMAAT, On Hessian Riemannian structures, Asian J. Math., 5 (2001), pp. 79-91.
-
(2001)
Asian J. Math.
, vol.5
, pp. 79-91
-
-
Duistermaat, J.J.1
-
21
-
-
0001708712
-
Dynamical systems which solve optimization problems with linear constraints
-
L. E. FAYBUSOVICH, Dynamical systems which solve optimization problems with linear constraints, IMA J. Math. Control Inform., 8 (1991), pp. 135-149.
-
(1991)
IMA J. Math. Control Inform.
, vol.8
, pp. 135-149
-
-
Faybusovich, L.E.1
-
22
-
-
0001070169
-
Hamiltonian structure of dynamical systems which solve linear programming problems
-
L. E. FAYBUSOVICH, Hamiltonian structure of dynamical systems which solve linear programming problems, Phys. D, 53 (1991), pp. 217-232.
-
(1991)
Phys. D
, vol.53
, pp. 217-232
-
-
Faybusovich, L.E.1
-
23
-
-
16244406648
-
Interior point methods and entropy
-
Tucson, Arizona, IEEE Press, Piscataway, NJ
-
L. E. FAYBUSOVICH, Interior point methods and entropy, in Proceedings of the IEEE Conference on Decision and Control, Tucson, Arizona, IEEE Press, Piscataway, NJ, 1992, pp. 1626-1631.
-
(1992)
Proceedings of the IEEE Conference on Decision and Control
, pp. 1626-1631
-
-
Faybusovich, L.E.1
-
24
-
-
16244399568
-
Perturbed variations of penalty function methods. Example: Projective SUMT
-
A. V. FIACCO, Perturbed variations of penalty function methods. Example: Projective SUMT, Ann. Oper. Res., 27 (1990), pp. 371-380.
-
(1990)
Ann. Oper. Res.
, vol.27
, pp. 371-380
-
-
Fiacco, A.V.1
-
26
-
-
0000114115
-
A quadratically convergent method for linear programming
-
S. HERZEL, M. C. RECCHINI, AND F. ZIRILLI, A quadratically convergent method for linear programming, Linear Algebra Appl., 151 (1991), pp. 255-290.
-
(1991)
Linear Algebra Appl.
, vol.151
, pp. 255-290
-
-
Herzel, S.1
Recchini, M.C.2
Zirilli, F.3
-
29
-
-
0034313932
-
On dual convergence of the generalized proximal point method with Bregman distances
-
A. N. IUSEM AND R. D. C. MONTEIRO, On dual convergence of the generalized proximal point method with Bregman distances, Math. Oper. Res., 25 (2000), pp. 606-624.
-
(2000)
Math. Oper. Res.
, vol.25
, pp. 606-624
-
-
Iusem, A.N.1
Monteiro, R.D.C.2
-
30
-
-
0032201978
-
Central paths, generalized proximal point methods, and Cauchy trajectories in Riemannian manifolds
-
A. N. IUSEM, B. F. SVAITER, AND J. X. DA CRUZ NETO, Central paths, generalized proximal point methods, and Cauchy trajectories in Riemannian manifolds, SIAM J. Control Optim., 37 (1999), pp. 566-588.
-
(1999)
SIAM J. Control Optim.
, vol.37
, pp. 566-588
-
-
Iusem, A.N.1
Svaiter, B.F.2
Da Cruz Neto, J.X.3
-
31
-
-
51249181779
-
A new polynomial time algorithm for linear programming
-
N. KARMARKAR, A new polynomial time algorithm for linear programming, Combinatorica, 4 (1984), pp. 373-395.
-
(1984)
Combinatorica
, vol.4
, pp. 373-395
-
-
Karmarkar, N.1
-
32
-
-
0002500563
-
Riemannian geometry underlying interior point methods for linear programming
-
Mathematical Developments Arising from Linear Programming, J. C. Lagarias and M. J. Todd, eds., AMS, Providence, RI
-
N. KARMARKAR, Riemannian geometry underlying interior point methods for linear programming, in Mathematical Developments Arising from Linear Programming, Contemp. Math. 114, J. C. Lagarias and M. J. Todd, eds., AMS, Providence, RI, 1990, pp. 51-76.
-
(1990)
Contemp. Math.
, vol.114
, pp. 51-76
-
-
Karmarkar, N.1
-
33
-
-
38249040750
-
A class of doubly nonlinear elliptic-parabolic equations with time dependent constraints
-
N. KENMOCHI AND I. PAWLOW, A class of doubly nonlinear elliptic-parabolic equations with time dependent constraints, Nonlinear Anal., 10 (1986), pp. 1181-1202.
-
(1986)
Nonlinear Anal.
, vol.10
, pp. 1181-1202
-
-
Kenmochi, N.1
Pawlow, I.2
-
34
-
-
0031146730
-
Free-steering relaxation methods for problems with strictly convex costs
-
K. C. KIWIEL, Free-steering relaxation methods for problems with strictly convex costs, Math. Oper. Res., 22 (1997), pp. 326-349.
-
(1997)
Math. Oper. Res.
, vol.22
, pp. 326-349
-
-
Kiwiel, K.C.1
-
35
-
-
0031190440
-
Proximal minimization methods with generalized Bregman functions
-
K. C. KIWIEL, Proximal minimization methods with generalized Bregman functions, SIAM J. Control Optim., 35 (1997), pp. 1142-1168.
-
(1997)
SIAM J. Control Optim.
, vol.35
, pp. 1142-1168
-
-
Kiwiel, K.C.1
-
37
-
-
0024656662
-
The continuous Projective SUMT method for convex programming
-
G. P. MCCORMICK, The continuous Projective SUMT method for convex programming, Math. Oper. Res., 14 (1989), pp. 203-223.
-
(1989)
Math. Oper. Res.
, vol.14
, pp. 203-223
-
-
Mccormick, G.P.1
-
38
-
-
0036435303
-
On the Riemannian geometry defined by self-concordant barriers and interior-point methods
-
Y. NESTEROV AND M. J. TODD, On the Riemannian geometry defined by self-concordant barriers and interior-point methods, Found. Comput. Math., 2 (2002), pp. 333-361.
-
(2002)
Found. Comput. Math.
, vol.2
, pp. 333-361
-
-
Nesterov, Y.1
Todd, M.J.2
-
40
-
-
0004267646
-
-
Princeton University Press, Princeton, NJ
-
R. T. ROCKAFELLAR, Convex Analysis, Princeton University Press, Princeton, NJ, 1970.
-
(1970)
Convex Analysis
-
-
Rockafellar, R.T.1
-
42
-
-
0000188055
-
Optimization techniques on Riemannian manifolds
-
Hamiltonian and Gradient Flows, Algorithms and Control, AMS, Providence, RI
-
S. T. SMITH, Optimization techniques on Riemannian manifolds, in Hamiltonian and Gradient Flows, Algorithms and Control, Fields Inst. Commun. 3, AMS, Providence, RI, 1994, pp. 113-136.
-
(1994)
Fields Inst. Commun.
, vol.3
, pp. 113-136
-
-
Smith, S.T.1
-
43
-
-
0001286634
-
Entropic proximal mappings with applications to nonlinear programming
-
M. TEBOULLE, Entropic proximal mappings with applications to nonlinear programming, Math. Oper. Res., 17 (1992), pp. 670-690.
-
(1992)
Math. Oper. Res.
, vol.17
, pp. 670-690
-
-
Teboulle, M.1
-
44
-
-
0003274450
-
Convex functions and optimization methods on Riemannian manifolds
-
Kluwer Academic Publishers, Dordrecht, The Netherlands
-
C. UDRIŞTE, Convex Functions and Optimization Methods on Riemannian Manifolds, Math. Appl., 297, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1994.
-
(1994)
Math. Appl.
, vol.297
-
-
Udrişte, C.1
|