ool True if the system is to be solved by Cholesky, rather than LU, decomposition. This is typically faster unless the problem is very small or prone to numerical difficulties. pc : bool True if the predictor-corrector method of Mehrota is to be used. This is almost always (if not always) beneficial. Even though it requires the solution of an additional linear system, the factorization is typically (implicitly) reused so solution is efficient, and the number of algorithm iterations is typically reduced. ip : bool True if the improved initial point suggestion due to [4] section 4.3 is desired. It's unclear whether this is beneficial. permc_spec : str (default = 'MMD_AT_PLUS_A') (Has effect only with ``sparse = True``, ``lstsq = False``, ``sym_pos = True``.) A matrix is factorized in each iteration of the algorithm. This option specifies how to permute the columns of the matrix for sparsity preservation. Acceptable values are: - ``NATURAL``: natural ordering. - ``MMD_ATA``: minimum degree ordering on the structure of A^T A. - ``MMD_AT_PLUS_A``: minimum degree ordering on the structure of A^T+A. - ``COLAMD``: approximate minimum degree column ordering. This option can impact the convergence of the interior point algorithm; test different values to determine which performs best for your problem. For more information, refer to ``scipy.sparse.linalg.splu``. Returns ------- Search directions as defined in [4] References ---------- .. [4] Andersen, Erling D., and Knud D. Andersen. "The MOSEK interior point optimizer for linear programming: an implementation of the homogeneous algorithm." High performance optimization. Springer US, 2000. 197-232. r