1 |
M. Achache, A new primal-dual path-following method for convex quadratic programming, Comput. Appl. Math, 25 (2006), no. 1, 97-110.
|
2 |
Z. Darvay, A weighted-path-following method for linear optimization, Stud. Univ. Babes-Bolyai Inform. 47 (2002), no. 2, 3-12.
|
3 |
Z. Darvay, New interior point algorithms in linear programming, Adv. Model. Optim. 5 (2003), no. 1, 51-92.
|
4 |
J. Faraut and A. Koranyi, Analysis on Symmetric Cones, Oxford University Press, New York, 1994.
|
5 |
L. Faybusovich, Euclidean Jordan algebras and interior-point algorithms, Positivity 1 (1997), no. 4, 331-357.
DOI
|
6 |
L. Faybusovich, A Jordan-algebraic approach to potential-reduction algorithms, Math. Z. 239 (2002), no. 1, 117-129.
DOI
|
7 |
G. Gu, M. Zangiabadi, and C. Roos, Full Nesterov-Todd step interior-point methods for symmetric optimization, European J. Oper. Res. 214 (2011), no. 3, 473-484.
DOI
|
8 |
B. Jansen, C. Roos, T. Terlaky, and J. Vial, Long-step primal-dual target-following algorithms for linear programming, Math. Methods Oper. Res. 44 (1996), no. 1, 11-30.
DOI
|
9 |
M. Kojima, N. Megiddo, T. Noma, and A. Yoshise, A Unified Approach to Interior Point Algorithms for Linear Complementarity Problems, Lecture Notes in Computer Science, vol. 538. Springer, New York, 1991.
|
10 |
Z. Y. Luo and N. H. Xiu, Path-following interior-point algorithms for the Cartesian -LCP over symmetric cones, Sci. China Math. 52 (2009), no. 8, 1769-1784.
DOI
|
11 |
H. Mansouri and M. Pirhaji, A polynomial interior-point algorithm for linear complementarity problems, J. Optim. Theory Appl. 157 (2013), no. 2, 451-461.
DOI
|
12 |
H. Mansouri, M. Zangiabadi, and M. Pirhaji, A full-Newton step O(n) infeasible interior-point algorithm for linear complementarity problems, Nonlinear Anal. Real World Appl. 12 (2011), no. 1, 545-561.
DOI
|
13 |
F. A. Potra, An infeasible interior point method for linear complementarity problems over symmetric cones, Proceedings of the 7th International Conference of Numerical Analysis and Applied Mathematics, Rethymno, Crete, Greece, 18-22 September 2009, pp. 1403-1406. Am. Inst. of Phys., New York, 2009.
|
14 |
B. K. Rangarajan, Polynomial convergence of infeasible-interior-point methods over symmetric cones, SIAM J. Optim. 16 (2006), no. 4, 1211-1229.
DOI
|
15 |
C. Roos, A full-Newton step O(n) infeasible interior-point algorithm for linear optimization, SIAM J. Optim. 16 (2006), no. 4, 1110-1136.
DOI
|
16 |
S. H. Schmieta and F. Alizadeh, Extension of primal-dual interior-point algorithms to symmetric cones, Math. Program. 96 (2003), no. 3, 409-438.
DOI
|
17 |
J. F. Sturm, Similarity and other spectral relations for symmetric cones, Linear Algebra Appl. 312 (2000), no. 1-3, 135-154.
DOI
|
18 |
G. Q. Wang and Y. Q. Bai, A primal-dual interior-point algorithm for second-order cone optimization with full Nesterov-Todd step, Appl. Math. Comput. 215 (2009), no. 3, 1047-1061.
DOI
|
19 |
G. Q. Wang and Y. Q. Bai, A new primal-dual path-following interior-point algorithm for semidefinite optimization, J. Math. Anal. Appl. 353 (2009), no. 1, 339-349.
DOI
|
20 |
G. Q. Wang and Y. Q. Bai, A new full Nesterov-Todd step primal-dual path-following interior-point algorithm for symmetric optimization, J. Optim. Theory Appl. 154 (2012), no. 3, 966-985.
DOI
|
21 |
G. Q. Wang and Y. Q. Bai, A class of polynomial interior-point algorithms for the Cartesian P-matrix linear complementarity problem over symmetric cones, J. Optim. Theory Appl. 152 (2012), no. 3, 739-772.
DOI
|
22 |
G. Q. Wang and G. Lesaja, Full Nesterov-Todd step feasible interior-point method for the Cartesian -SCLCP, Optim. Methods Softw. 28 (2013), no. 3, 600-618.
DOI
|
23 |
A. Yoshise, Interior point trajectories and a homogeneous model for nonlinear complementarity problems over symmetric cones, SIAM J. Optim. 17 (2006), no. 4, 1129-1153.
DOI
|
24 |
Y. B. Zhao and J. Han, Two interior-point methods for nonlinear -complementaritarity problems, J. Optim. Theory Appl. 102 (1999), no. 3, 659-679.
DOI
|
25 |
M. V. C. Vieira, Jordan Algebraic Approach to Symetric Optimization, PhD thesis, Delft University of Thecnology, 2007.
|