Handbook of semidefinite programming : theory, algorithms, and applications

Handbook of semidefinite programming : theory, algorithms, and applications
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发表时间:
2000
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通讯作者:
Henry Wolkowicz;R. Saigal;L. Vandenberghe
Henry Wolkowicz;R. Saigal;L. Vandenberghe
中科院分区:
其他
文献类型:
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作者:
Henry Wolkowicz;R. Saigal;L. Vandenberghe

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特约作者。图表列表。表格列表。前言。1。H. Wolkowicz等。第一部分:理论。对称矩阵的凸分析[j]。半定规划的几何性质[j]。[5]夏皮罗,谢恩伯格。自对偶嵌入E. de Klerk等。稳健性A. Ben-Tal等。误差分析罗志全。第二部分:算法。9.对称锥,势约化方法。电位还原法与原始对偶法[j] .,(10)。[11]张建军,张建军。王志强,王志强。束方法与特征值函数。第三部分:应用和扩展。13.组合优化。j .等。非凸二次优化。王帆,王峰,王峰。系统与控制理论中的SDP。结构设计,A. Ben-Tal, A. Nemirovski。[17]张建军,张建军,张建军,等。李俊。统计学实验的设计。18。A. Alfakih . Wolkowicz. 19。特征值问题与非凸极小化[j] .中文信息学报,2009。一般非线性规划。参考文献。约附录A。结论和进一步的历史注释。-.2.Index。
Contributing Authors. List of Figures. List of Tables. Preface. 1. Introduction H. Wolkowicz, et al. Part I: Theory. 2. Convex Analysis on Symmetric Matrices F. Jarre. 3. The Geometry of Semidefinite Programming G. Pataki. 4. Duality and Optimality Conditions A. Shapiro, K. Scheinberg. 5. Self-Dual Embeddings E. de Klerk, et al. 6. Robustness A. Ben-Tal, et al. 7. Error Analysis Zhiquan Luo, J. Sturm. Part II: Algorithms. 8. Symmetric Cones, Potential Reduction Methods F. Alizadeh, S. Schmieta. 9. Potential Reduction and Primal-Dual Methods L. Tuncel. 10. Path-Following Methods R. Monteiro, M. Todd. 11. Bundle Methods and Eigenvalue Functions C. Helmberg, F. Oustry. Part III: Applications and Extensions. 12. Combinatorial Optimization M. Goemans, F. Rendl. 13. Nonconvex Quadratic Optimization Y. Nesterov, et al. 14. SDP in Systems and Control Theory V. Balakrishnan, Fan Wang. 15. Structural Design A. Ben-Tal, A. Nemirovski. 16. Moment Problems and Semidefinite Optimization D. Bertsimas, J. Sethuraman. 17. Design of Experiments in Statistics V. Fedorov, J. Lee. 18. Matrix Completion Problems A. Alfakih, H. Wolkowicz. 19. Eigenvalue Problems and Nonconvex Minimization F. Jarre. 20. General Nonlinear Programming S. Kruk, H. Wolkowicz. References. Appendix A-.1. Conclusion and Further Historical Notes. A-.2.Index.