席鸣晓, 罗洪林. 利用半无限规划的离散化方法求解半定规划问题[J]. 重庆师范大学学报(自然科学版), 2018, 35(2): 21-27.
|
马纪英, 陈文燕, 贾慧羡. 半定规划松弛求解新方法及在通信问题中的应用[J]. 西南师范大学学报(自然科学版), 2017, 42(3): 39-42.
|
BEN-TAL A, JARRE F, KO VARA M, et al. Optimal Design of Trusses under a Nonconvex Global Buckling Constraint[J]. Optimization and Engineering, 2000, 1(2): 189-213. doi: 10.1023/A:1010091831812
|
ROCHE J R, HERSKOVITS J, BAZÅN E, et al. A Feasible Direction Algorithm for General Nonlinear Semidefinite Programming[J]. Structural and Multidisciplinary Optimization, 2017, 55(4): 1261-1279. doi: 10.1007/s00158-016-1564-5
|
BIRGIN E G, GÓMEZ W, HAESER G, et al. An Augmented Lagrangian Algorithm for Nonlinear Semidefinite Programming Applied to the Covering Problem[J]. Computational and Applied Mathematics, 2019, 39(1): 1-21.
|
李丹丹, 王松华, 李远飞. 求解非线性半定规划的一个无罚无滤信赖域型算法[J]. 数学的实践与认识, 2021, 51(15): 163-174.
|
LI J L, YANG Z P, WU J Q, et al. A New QP-Free Algorithm without a Penalty Function or a Filter for Nonlinear Semidefinite Programming[J]. Acta Mathematicae Applicatae Sinica, English Series, 2020, 36(3): 714-736. doi: 10.1007/s10255-020-0964-x
|
ZHANG Y L, WU J, ZHANG L W. The Rate of Convergence of Proximal Method of Multipliers for Nonlinear Semidefinite Programming[J]. Optimization, 2020, 69(4): 875-900. doi: 10.1080/02331934.2019.1647200
|
KATO A, YABE H, YAMASHITA H. An Interior Point Method with a Primal-Dual Quadratic Barrier Penalty Function for Nonlinear Semidefinite Programming[J]. Journal of Computational and Applied Mathematics, 2015, 275: 148-161. doi: 10.1016/j.cam.2014.07.024
|
吴加其. 非线性半定规划的两个滤子法[D]. 南宁: 广西大学, 2019.
|
黎健玲, 张辉, 杨振平, 等. 非线性半定规划一个全局收敛的无罚无滤子SSDP算法[J]. 运筹学学报, 2018, 22(4): 1-16.
|
HUANG M X, PU D G. A Line Search SQP Method without a Penalty or a Filter[J]. Computational and Applied Mathematics, 2015, 34(2): 741-753. doi: 10.1007/s40314-014-0137-8
|
GOMEZ W, RAMIREZ H. A Filter Algorithm for Nonlinear Semidefinite Programming[J]. Computational and Applied Mathematics, 2010, 29(29): 297-328.
|
ZHU Z B, ZHU H L. A Filter Method for Nonlinear Semidefinite Programming with Global Convergence[J]. Acta Mathematica Sinica, English Series, 2014, 30(10): 1810-1826.
|
TOH K C, TUTUNCU R H, TODD M J. On the Implementation of SDPT3 (Version 3.1)-a MATLAB Software Package for Semidefinite-Quadratic-Linear Programming[C]//2004 IEEE International Conference on Robotics and Automation. New York: IEEE Press, 2004: 290-296.
|
ZHAO Q, CHEN Z W. On the Superlinear Local Convergence of a Penalty-Free Method for Nonlinear Semidefinite Programming[J]. Journal of Computational and Applied Mathematics, 2016, 308: 1-19.
|
苗世彩. 求解非线性半定规划的一类无惩罚方法[D]. 苏州: 苏州大学, 2013.
|
LEIBFRITZ F. Compleib: Constrained Matrix-optimization Problem library-a Collection of Test Examples for Nonlinear Semidefinite Programs, Control System Design and Related Problems[EB/OL]. (2006-03-15)[2020-9-15]. http://www.complib.de/.
|