-
3
-
-
33750901124
-
A new notion of weighted centers for semidefinite programming
-
in press
-
Chua, C.B.: A new notion of weighted centers for semidefinite programming. SIAM J. Optim. (in press)
-
SIAM J. Optim
-
-
Chua, C.B.1
-
4
-
-
2442526073
-
Relating homogeneous cones and positive definite cones via T-algebras
-
Chua, C.B.: Relating homogeneous cones and positive definite cones via T-algebras. SIAM I Optim. 14, 500-506 (2004)
-
(2004)
SIAM I Optim
, vol.14
, pp. 500-506
-
-
Chua, C.B.1
-
5
-
-
34347243450
-
-
Chua, C.B.: An algebraic perspective on homogeneous cone programming, and the primal-dual second order cone approximations algorithm for symmetric cone programming. Ph.D. Thesis, Cornell University, May 2003
-
Chua, C.B.: An algebraic perspective on homogeneous cone programming, and the primal-dual second order cone approximations algorithm for symmetric cone programming. Ph.D. Thesis, Cornell University, May 2003
-
-
-
-
7
-
-
0036848730
-
On Nesterov's approach to semi-infinite programming
-
Faybusovich, L.: On Nesterov's approach to semi-infinite programming. Acta Appl. Math. 74, 195-215 (2002)
-
(2002)
Acta Appl. Math
, vol.74
, pp. 195-215
-
-
Faybusovich, L.1
-
8
-
-
0031145491
-
Hyperbolic polynomials and interior point methods for convex programming
-
Gtller, O.: Hyperbolic polynomials and interior point methods for convex programming. Math. Oper. Res. 22, 350-377 (1997)
-
(1997)
Math. Oper. Res
, vol.22
, pp. 350-377
-
-
Gtller, O.1
-
9
-
-
24944516954
-
Linear matrix inequality representation of sets
-
Helton, J.W., Vinnikov, V.: Linear matrix inequality representation of sets, 'technical Report (2002)
-
(2002)
technical Report
-
-
Helton, J.W.1
Vinnikov, V.2
-
10
-
-
24944591988
-
The Lax conjecture is true
-
Lewis, A.S., Parrilo, P.A., Ramana, M.V.: The Lax conjecture is true. Proc. Amer. Math. Soc. 133, 2495-2499 (2005)
-
(2005)
Proc. Amer. Math. Soc
, vol.133
, pp. 2495-2499
-
-
Lewis, A.S.1
Parrilo, P.A.2
Ramana, M.V.3
-
11
-
-
0033421616
-
Polynomial convergence of a new family of primal-dual algorithms for semidefinite programming
-
Monteiro, R.D.C., Tsuchiya, T.: Polynomial convergence of a new family of primal-dual algorithms for semidefinite programming. SIAM J. Optim. 9, 551-577 (1999)
-
(1999)
SIAM J. Optim
, vol.9
, pp. 551-577
-
-
Monteiro, R.D.C.1
Tsuchiya, T.2
-
12
-
-
0343714760
-
General interior-point maps and existence of weighted paths for nonlinear semidefinite complementarity problems
-
Monteiro, R.D.C., Zanjácomo, P.: General interior-point maps and existence of weighted paths for nonlinear semidefinite complementarity problems. Math. Oper. Res. 25, 381-399 (2000)
-
(2000)
Math. Oper. Res
, vol.25
, pp. 381-399
-
-
Monteiro, R.D.C.1
Zanjácomo, P.2
-
13
-
-
1642633464
-
Implementation of primal-dual methods for semidefinite programming based on Monteiro and Tsuchiya Newton directions and their variants
-
Monteiro, R.D.C., Zanjácomo, P.: Implementation of primal-dual methods for semidefinite programming based on Monteiro and Tsuchiya Newton directions and their variants. Optim. Method. Soft. 11/12, 91-140 (1999)
-
(1999)
Optim. Method. Soft
, vol.11-12
, pp. 91-140
-
-
Monteiro, R.D.C.1
Zanjácomo, P.2
-
15
-
-
0031073753
-
Self-scaled barriers and interior-point methods for convex programming
-
Nesterov, Yu.E., Todd, M.J.: Self-scaled barriers and interior-point methods for convex programming. Math. Oper. Res. 22, 1-46 (1997)
-
(1997)
Math. Oper. Res
, vol.22
, pp. 1-46
-
-
Nesterov, Y.E.1
Todd, M.J.2
-
16
-
-
21344441658
-
-
Pataki, G.: Cone LP's and semidefinite programs: Geometry and a simplex type method. In: Cunningham, W.H., McCormick, S.T., Queyranne, M. Proceedings of the Fifth IPCO Conference, (eds.) pp. 161-174. Springer, Berlin Heidelberg New York (1996)
-
Pataki, G.: Cone LP's and semidefinite programs: Geometry and a simplex type method. In: Cunningham, W.H., McCormick, S.T., Queyranne, M. Proceedings of the Fifth IPCO Conference, (eds.) pp. 161-174. Springer, Berlin Heidelberg New York (1996)
-
-
-
-
17
-
-
31944433002
-
Hyperbolic programs, and their derivative relaxations
-
Renegar, J.: Hyperbolic programs, and their derivative relaxations. Found. Comput. Math. 6, 59-79 (2006)
-
(2006)
Found. Comput. Math
, vol.6
, pp. 59-79
-
-
Renegar, J.1
-
18
-
-
0004267646
-
-
Princeton University Press, Princeton
-
Rockafellar, R.T.: Convex Analysis. Princeton University Press, Princeton (1970)
-
(1970)
Convex Analysis
-
-
Rockafellar, R.T.1
-
19
-
-
21244456109
-
Geometry of homogeneous convex cones, duality mapping, and optimal self-concordant barriers
-
Truong, V.A., Tunçel, L.: Geometry of homogeneous convex cones, duality mapping, and optimal self-concordant barriers. Math. Prog. A 100, 295-316 (2004)
-
(2004)
Math. Prog. A
, vol.100
, pp. 295-316
-
-
Truong, V.A.1
Tunçel, L.2
-
20
-
-
15844422681
-
Strengthened existence and uniqueness conditions for search directions in semidefinite programming
-
Tunçel, L. Wolkowicz H: Strengthened existence and uniqueness conditions for search directions in semidefinite programming. Linear Algebra Appl. 400, 31-60 (2005)
-
(2005)
Linear Algebra Appl
, vol.400
, pp. 31-60
-
-
Tunçel, L.1
Wolkowicz, H.2
-
21
-
-
0035351662
-
On homogeneous convex cones, the Carathéodory number, and the duality mapping
-
Tunçel, L., Xu, S.: On homogeneous convex cones, the Carathéodory number, and the duality mapping. Math. Oper. Res. 26, 234-247 (2001)
-
(2001)
Math. Oper. Res
, vol.26
, pp. 234-247
-
-
Tunçel, L.1
Xu, S.2
-
22
-
-
0001517245
-
The theory of homogeneous cones
-
Vinberg, È.B.: The theory of homogeneous cones. Trans. Moscow Math. Soc. 12, 340-403 (1965)
-
(1965)
Trans. Moscow Math. Soc
, vol.12
, pp. 340-403
-
-
Vinberg, E.B.1
-
23
-
-
0008807868
-
Self-adjoint determinantal representations of real plane curves
-
Vinnikov, V.: Self-adjoint determinantal representations of real plane curves. Math. Ann. 296, 453-479 (1993)
-
(1993)
Math. Ann
, vol.296
, pp. 453-479
-
-
Vinnikov, V.1
|