-
1
-
-
33845666264
-
Newton-KKT interior-point methods for indefinite quadratic programming
-
to appear
-
P. A. ABSIL AND A. L. TITS, Newton-KKT interior-point methods for indefinite quadratic programming, Comput. Optim. Appl., to appear.
-
Comput. Optim. Appl
-
-
ABSIL, P.A.1
TITS, A.L.2
-
2
-
-
2342458706
-
Second-order cone programming
-
F. ALIZADEH AND D. GOLDFARB, Second-order cone programming, Math. Program., 95 (2003), pp. 3-51.
-
(2003)
Math. Program
, vol.95
, pp. 3-51
-
-
ALIZADEH, F.1
GOLDFARB, D.2
-
3
-
-
0030541525
-
On the formulation and theory of Newton interior point methods for nonlinear programming
-
A. S. EL BAKRY, R. A. TAPIA, T. TSUCHIYA, AND Y. ZHANG, On the formulation and theory of Newton interior point methods for nonlinear programming, J. Optim. Theory Appl., 89 (1996), pp. 507-541.
-
(1996)
J. Optim. Theory Appl
, vol.89
, pp. 507-541
-
-
EL BAKRY, A.S.1
TAPIA, R.A.2
TSUCHIYA, T.3
ZHANG, Y.4
-
6
-
-
0003951723
-
-
SIAM, Philadelphia
-
A. R. CONN, N. I. M. GOULD, AND PH. L. TOINT, Trust-Region Methods, SIAM, Philadelphia, 2000.
-
(2000)
Trust-Region Methods
-
-
CONN, A.R.1
GOULD, N.I.M.2
TOINT, P.L.3
-
7
-
-
0000317378
-
A primal-dual trust-region algorithm for nonconvex nonlinear programming
-
A. R. CONN, N. I. M. GOULD, D. ORBAN, AND PH. L. TOINT, A primal-dual trust-region algorithm for nonconvex nonlinear programming, Math. Program., 87 (2000), pp. 215-249.
-
(2000)
Math. Program
, vol.87
, pp. 215-249
-
-
CONN, A.R.1
GOULD, N.I.M.2
ORBAN, D.3
TOINT, P.L.4
-
8
-
-
0000754239
-
Iterative solution of problems of linear and quadratic programming
-
I. I. DIKIN, Iterative solution of problems of linear and quadratic programming, Soviet Math. Dokl., 8 (1967), pp. 674-675.
-
(1967)
Soviet Math. Dokl
, vol.8
, pp. 674-675
-
-
DIKIN, I.I.1
-
10
-
-
1842436899
-
Primal-dual algorithms and infinite-dimensional Jordan algebras of finite rank
-
L. FAYBUSOVICH AND T. TSUCHIYA, Primal-dual algorithms and infinite-dimensional Jordan algebras of finite rank, Math. Program., 97 (2003), pp. 471-493.
-
(2003)
Math. Program
, vol.97
, pp. 471-493
-
-
FAYBUSOVICH, L.1
TSUCHIYA, T.2
-
11
-
-
33645907534
-
Jordan-algebraic aspects of nonconvex optimization over symmetric cone
-
L. FAYBUSOVICH AND Y. LU, Jordan-algebraic aspects of nonconvex optimization over symmetric cone, Appl. Math. Optim., 53 (2006), pp. 67-77.
-
(2006)
Appl. Math. Optim
, vol.53
, pp. 67-77
-
-
FAYBUSOVICH, L.1
LU, Y.2
-
12
-
-
0032358968
-
Primal-dual interior methods for nonconvex nonlinear programming
-
A. FORSGREN AND P. E. GILL, Primal-dual interior methods for nonconvex nonlinear programming, SIAM J. Optim., 8 (1998), pp. 1132-1152.
-
(1998)
SIAM J. Optim
, vol.8
, pp. 1132-1152
-
-
FORSGREN, A.1
GILL, P.E.2
-
13
-
-
0002688960
-
A primal-dual interior method for nonconvex nonlinear programming
-
Y. Yuan, ed, Kluwer Academic Publishers, Dordrecht, The Netherlands
-
D. M. GAY, M. L. OVERTON, AND M. H. WRIGHT, A primal-dual interior method for nonconvex nonlinear programming, in Advances in Nonlinear Programming, Y. Yuan, ed., Kluwer Academic Publishers, Dordrecht, The Netherlands, 1998, pp. 31-56.
-
(1998)
Advances in Nonlinear Programming
, pp. 31-56
-
-
GAY, D.M.1
OVERTON, M.L.2
WRIGHT, M.H.3
-
14
-
-
0033437435
-
Solving the trust-region subproblem using the Lanczos method
-
N. I. M. GOULD, S. LUCIDI, M. ROMA, AND PH. L. TOINT, Solving the trust-region subproblem using the Lanczos method, SIAM J. Optim., 9 (1999), pp. 504-525.
-
(1999)
SIAM J. Optim
, vol.9
, pp. 504-525
-
-
GOULD, N.I.M.1
LUCIDI, S.2
ROMA, M.3
TOINT, P.L.4
-
15
-
-
0036344992
-
On the solution of equality constrained quadratic programming problems arising in optimization
-
N. I. M. GOULD, M. E. HRIBAR, AND J. NOCEDAL, On the solution of equality constrained quadratic programming problems arising in optimization, SIAM J. Sci. Comput., 23 (2001), pp. 1376-1395.
-
(2001)
SIAM J. Sci. Comput
, vol.23
, pp. 1376-1395
-
-
GOULD, N.I.M.1
HRIBAR, M.E.2
NOCEDAL, J.3
-
17
-
-
39449099917
-
An Interior-Point Trust-Region Polynomial Algorithm for Convex Programming
-
Technical report, Department of Mathematics, University of Notre Dame, Notre Dame, IN
-
Y. LU AND Y. YUAN, An Interior-Point Trust-Region Polynomial Algorithm for Convex Programming, Technical report, Department of Mathematics, University of Notre Dame, Notre Dame, IN, 2006.
-
(2006)
-
-
LU, Y.1
YUAN, Y.2
-
19
-
-
0031141179
-
A semidefinite framework for trust region subproblem with applications to large scale minimization
-
F. RENDEL AND H. WOLKOWICZ, A semidefinite framework for trust region subproblem with applications to large scale minimization, Math. Programming, 77 (1997), pp. 273-299.
-
(1997)
Math. Programming
, vol.77
, pp. 273-299
-
-
RENDEL, F.1
WOLKOWICZ, H.2
-
21
-
-
18044401847
-
A new matrix-free algorithm for the large-scale trust-region subproblem
-
M. ROJAS, S. A. SANTOS, AND D. C. SORENSEN, A new matrix-free algorithm for the large-scale trust-region subproblem, SIAM J. Optim., 11 (2000), pp. 611-646.
-
(2000)
SIAM J. Optim
, vol.11
, pp. 611-646
-
-
ROJAS, M.1
SANTOS, S.A.2
SORENSEN, D.C.3
-
22
-
-
0031542396
-
Minimization of a large-scale quadratic function subject to a spherical constraint
-
D. C. SORENSEN, Minimization of a large-scale quadratic function subject to a spherical constraint, SIAM J. Optim., 7 (1997), pp. 141-161.
-
(1997)
SIAM J. Optim
, vol.7
, pp. 141-161
-
-
SORENSEN, D.C.1
-
23
-
-
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 (1983), pp. 626-637.
-
(1983)
SIAM J. Numer. Anal
, vol.20
, pp. 626-637
-
-
STEIHAUG, T.1
-
24
-
-
0027607278
-
A convergence proof for an affine-scaling method for convex quadratic programming without nondegeneracy assumptions
-
J. SUN, A convergence proof for an affine-scaling method for convex quadratic programming without nondegeneracy assumptions, Math. Programming, 60 (1993), pp. 69-79.
-
(1993)
Math. Programming
, vol.60
, pp. 69-79
-
-
SUN, J.1
-
25
-
-
1542291020
-
A primal-dual interior-point method for nonlinear programming with strong global and local convergence properties
-
A. L. TITS, A. WÄCHTER, S. BAKHTIARI, T. J. URBAN, AND C. T. LAWRENCE, A primal-dual interior-point method for nonlinear programming with strong global and local convergence properties, SIAM J. Optim., 14 (2003), pp. 173-199.
-
(2003)
SIAM J. Optim
, vol.14
, pp. 173-199
-
-
TITS, A.L.1
WÄCHTER, A.2
BAKHTIARI, S.3
URBAN, T.J.4
LAWRENCE, C.T.5
-
26
-
-
0002633896
-
Towards an efficient sparsity exploiting Newton method for minimization
-
Uses, I. S. Duff, ed, Academic Press, London
-
PH. L. TOINT, Towards an efficient sparsity exploiting Newton method for minimization, in Sparse Matrices and Their Uses, I. S. Duff, ed., Academic Press, London, 1981, pp. 57-88.
-
(1981)
Sparse Matrices and Their
, pp. 57-88
-
-
TOINT, P.L.1
-
27
-
-
0000287204
-
An interior-point algorithm for nonconvex nonlinear programming
-
R. J. VANDERBEI AND D. F. SHANNO, An interior-point algorithm for nonconvex nonlinear programming, Comput. Optim. Appl., 13 (1999), pp. 231-252.
-
(1999)
Comput. Optim. Appl
, vol.13
, pp. 231-252
-
-
VANDERBEI, R.J.1
SHANNO, D.F.2
-
28
-
-
3843097667
-
-
Ph.D. thesis, Carnegie Mellon University, Pittsburgh, PA
-
A. WÄCHTER, An Interior Point Algorithm for Large-Scale Nonlinear Optimization with Applications in Process Engineering, Ph.D. thesis, Carnegie Mellon University, Pittsburgh, PA, 2002.
-
(2002)
An Interior Point Algorithm for Large-Scale Nonlinear Optimization with Applications in Process Engineering
-
-
WÄCHTER, A.1
-
29
-
-
34249839449
-
On an affine scaling algorithm for non-convex quadratic programming
-
Y. YE, On an affine scaling algorithm for non-convex quadratic programming, Math. Programming, 52 (1992), pp. 285-300.
-
(1992)
Math. Programming
, vol.52
, pp. 285-300
-
-
YE, Y.1
-
31
-
-
1542380911
-
New results on quadratic minimization
-
Y. YE AND S. ZHANG, New results on quadratic minimization, SIAM J. Optim., 14 (2003), pp. 245-267.
-
(2003)
SIAM J. Optim
, vol.14
, pp. 245-267
-
-
YE, Y.1
ZHANG, S.2
-
32
-
-
0347433923
-
On the truncated conjugate gradient method
-
Y. YUAN, On the truncated conjugate gradient method, Math. Program., 87 (2000), pp. 561-571.
-
(2000)
Math. Program
, vol.87
, pp. 561-571
-
-
YUAN, Y.1
-
33
-
-
0038029207
-
Quadratic maximization and semidefinite relaxation
-
S. ZHANG, Quadratic maximization and semidefinite relaxation, Math. Program., 87 (2000), pp. 453-465.
-
(2000)
Math. Program
, vol.87
, pp. 453-465
-
-
ZHANG, S.1
|