Implementation in Java of Algorithms for Semidefinite Optimization

[1] Vandenberghe L., Boyd S.: Semidefinite Programming. SIAM Review. 38/1. (1996) 49–95. https://doi.org/10.1137/103800310.1137/1038003 Search in Google Scholar

[2] Klerk E. de: Aspects of Semidefinite Programming. Interior Point Algorithms and Selected Applications. Kluwer Academic Publishers, Dordrecht, 2002. Search in Google Scholar

[3] Darvay Zs.: A new Algorithm for Solving Self-Dual Linear Optimization Problems. Studia Universitatis Babeş-Bolyai, Series Informatica, 47/1. (2002) 15–26. Search in Google Scholar

[4] Darvay Zs.: New Interior Point Algorithms in Linear Programming. Advanced Modeling and Optimization, 5/1. (2003) 51–92. Search in Google Scholar

[5] Wang G. Q., Bai Y. Q.: A New Primal-Dual Path-Following Interior-Point Algorithm for Semidefinite Optimization. Journal of Mathematical Analysis and Applications, 353/1. (2009) 339–349. https://doi.org/10.1016/j.jmaa.2008.12.01610.1016/j.jmaa.2008.12.016 Search in Google Scholar

[6] Nesterov Yu. E., Todd M. J.: Primal-Dual Interior-Point Methods for Self-Scaled Cones. SIAM Journal on Optimization, 8/2. (1998) 324–364. https://doi.org/10.1137/S105262349529020910.1137/S1052623495290209 Search in Google Scholar

[7] Nesterov Yu. E., Todd M. J.: Self-Scaled Barriers and Interior-Point Methods for Convex Programming. Mathematics of Operations Research, 22/1. (1997) 1–42. https://doi.org/10.1287/moor.22.1.110.1287/moor.22.1.1 Search in Google Scholar

[8] Tütüncü R. H., Toh K. C., Todd M. J.: Solving Semidefinite-Quadratic-Linear Programs Using SDTP3. Mathematical Programming, Ser. B 95/2. (2003) 189–217. https://doi.org/10.1007/s10107-002-0347-510.1007/s10107-002-0347-5 Search in Google Scholar

[9] Darvay Zs., Garfield A.: Examples of Semidefinite Optimization Problems. 2022. (accessed on: 2022. november 17.) https://www.cs.ubbcluj.ro/~darvay/sdp/10.33894/mtk-2022.17.02 Search in Google Scholar