Faybusovich, Leonid Primal-dual potential reduction algorithm for symmetric programming problems with nonlinear objective functions. (English) Zbl 1419.90084 Linear Algebra Appl. 536, 228-249 (2018). MSC: 90C25 17C55 90C51 PDFBibTeX XMLCite \textit{L. Faybusovich}, Linear Algebra Appl. 536, 228--249 (2018; Zbl 1419.90084) Full Text: DOI
Alvarez, Felipe; López, Julio Interior proximal bundle algorithm with variable metric for nonsmooth convex symmetric cone programming. (English) Zbl 1396.90059 Optimization 65, No. 9, 1757-1779 (2016). MSC: 90C25 PDFBibTeX XMLCite \textit{F. Alvarez} and \textit{J. López}, Optimization 65, No. 9, 1757--1779 (2016; Zbl 1396.90059) Full Text: DOI
Yang, Ximei; Liu, Hongwei; Dong, Xiaoliang Polynomial convergence of Mehrotra-type prediction-corrector infeasible-IPM for symmetric optimization based on the commutative class directions. (English) Zbl 1410.90244 Appl. Math. Comput. 230, 616-628 (2014). MSC: 90C51 65K05 90C05 PDFBibTeX XMLCite \textit{X. Yang} et al., Appl. Math. Comput. 230, 616--628 (2014; Zbl 1410.90244) Full Text: DOI
Valkonen, Tuomo Extension of primal-dual interior point methods to diff-convex problems on symmetric cones. (English) Zbl 1291.90191 Optimization 62, No. 3, 345-377 (2013). MSC: 90C26 17C99 49J53 PDFBibTeX XMLCite \textit{T. Valkonen}, Optimization 62, No. 3, 345--377 (2013; Zbl 1291.90191) Full Text: DOI
Huang, Zheng-Hai; Lu, Nan Global and global linear convergence of smoothing algorithm for the Cartesian \(P_*(\kappa)\)-SCLCP. (English) Zbl 1364.90246 J. Ind. Manag. Optim. 8, No. 1, 67-86 (2012). MSC: 90C22 90C25 90C33 PDFBibTeX XMLCite \textit{Z.-H. Huang} and \textit{N. Lu}, J. Ind. Manag. Optim. 8, No. 1, 67--86 (2012; Zbl 1364.90246) Full Text: DOI
Kong, Lingchen; Meng, Qingmin A semismooth Newton method for nonlinear symmetric cone programming. (English) Zbl 1267.65065 Math. Methods Oper. Res. 76, No. 2, 129-145 (2012). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C30 90C25 PDFBibTeX XMLCite \textit{L. Kong} and \textit{Q. Meng}, Math. Methods Oper. Res. 76, No. 2, 129--145 (2012; Zbl 1267.65065) Full Text: DOI
Kong, Lingchen Quadratic convergence of a smoothing Newton method for symmetric cone programming without strict complementarity. (English) Zbl 1254.90167 Positivity 16, No. 2, 297-319 (2012). MSC: 90C25 90C31 65K05 65K10 PDFBibTeX XMLCite \textit{L. Kong}, Positivity 16, No. 2, 297--319 (2012; Zbl 1254.90167) Full Text: DOI
Li, Yuan Min; Wang, Xing Tao; Wei, De Yun Improved smoothing Newton methods for symmetric cone complementarity problems. (English) Zbl 1280.90125 Optim. Lett. 6, No. 3, 471-487 (2012). MSC: 90C33 PDFBibTeX XMLCite \textit{Y. M. Li} et al., Optim. Lett. 6, No. 3, 471--487 (2012; Zbl 1280.90125) Full Text: DOI
Li, Yuanmin; Wang, Xingtao; Wei, Deyun Complementarity properties of the Lyapunov transformation over symmetric cones. (English) Zbl 1264.90168 Acta Math. Sin., Engl. Ser. 28, No. 7, 1431-1442 (2012). Reviewer: Olaf Ninnemann (Berlin) MSC: 90C33 17C55 PDFBibTeX XMLCite \textit{Y. Li} et al., Acta Math. Sin., Engl. Ser. 28, No. 7, 1431--1442 (2012; Zbl 1264.90168) Full Text: DOI
Li, Yuan Min; Wang, Xing Tao; Wei, De Yun A new class of complementarity functions for symmetric cone complementarity problems. (English) Zbl 1220.90134 Optim. Lett. 5, No. 2, 247-257 (2011). MSC: 90C33 PDFBibTeX XMLCite \textit{Y. M. Li} et al., Optim. Lett. 5, No. 2, 247--257 (2011; Zbl 1220.90134) Full Text: DOI
Ni, Tie; Gu, Wei-Zhe Smoothing Newton algorithm for symmetric cone complementarity problems based on a one-parametric class of smoothing functions. (English) Zbl 1211.90164 J. Appl. Math. Comput. 35, No. 1-2, 73-92 (2011). MSC: 90C22 90C25 90C33 PDFBibTeX XMLCite \textit{T. Ni} and \textit{W.-Z. Gu}, J. Appl. Math. Comput. 35, No. 1--2, 73--92 (2011; Zbl 1211.90164) Full Text: DOI
Huang, Zheng-Hai; Ni, Tie Smoothing algorithms for complementarity problems over symmetric cones. (English) Zbl 1198.90373 Comput. Optim. Appl. 45, No. 3, 557-579 (2010). Reviewer: Samir Kumar Neogy (New Delhi) MSC: 90C33 PDFBibTeX XMLCite \textit{Z.-H. Huang} and \textit{T. Ni}, Comput. Optim. Appl. 45, No. 3, 557--579 (2010; Zbl 1198.90373) Full Text: DOI
Luo, Zi-Yan; Xiu, Nai-Hua An \(O(rL)\) infeasible interior-point algorithm for symmetric cone LCP via CHKS function. (English) Zbl 1205.90280 Acta Math. Appl. Sin., Engl. Ser. 25, No. 4, 593-606 (2009). MSC: 90C33 90C51 PDFBibTeX XMLCite \textit{Z.-Y. Luo} and \textit{N.-H. Xiu}, Acta Math. Appl. Sin., Engl. Ser. 25, No. 4, 593--606 (2009; Zbl 1205.90280) Full Text: DOI
Luo, ZiYan; Xiu, NaiHua Path-following interior point algorithms for the Cartesian \(P_{*}(\kappa )\)-LCP over symmetric cones. (English) Zbl 1237.90235 Sci. China, Ser. A 52, No. 8, 1769-1784 (2009). MSC: 90C33 90C51 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{N. Xiu}, Sci. China, Ser. A 52, No. 8, 1769--1784 (2009; Zbl 1237.90235) Full Text: DOI
Liu, Xiao-Hong; Huang, Zheng-Hai A smoothing Newton algorithm based on a one-parametric class of smoothing functions for linear programming over symmetric cones. (English) Zbl 1175.90290 Math. Methods Oper. Res. 70, No. 2, 385-404 (2009). MSC: 90C05 90C22 90C25 90C30 PDFBibTeX XMLCite \textit{X.-H. Liu} and \textit{Z.-H. Huang}, Math. Methods Oper. Res. 70, No. 2, 385--404 (2009; Zbl 1175.90290) Full Text: DOI
Faybusovich, L. Several Jordan-algebraic aspects of optimization. (English) Zbl 1191.90034 Optimization 57, No. 3, 379-393 (2008). MSC: 90C25 90C51 17C99 PDFBibTeX XMLCite \textit{L. Faybusovich}, Optimization 57, No. 3, 379--393 (2008; Zbl 1191.90034) Full Text: DOI