This implements Algorithm_IPC, the SOCP interior point algorithm in SDPT3 version 4.
"K. C. Toh, M. J. Todd, R. H. Tütüncü, "On the implementation and usage of SDPT3 - a MATLAB
software package for semidefinite-quadratic-linear programming, version 4.0," in Handbook on
Semidefinite, Cone and Polynomial Optimization: Theory, Algorithms, Software and Applications,
Anjos, M. and Lasserre, J.B., ED. Springer, 2012, pp. 715--754."