Function Description

KML_SOLVER functions solve systems of sparse linear equations on a single node. The majority of elements in a sparse matrix are zero. The following methods are involved:

• Conjugate gradient (CG) supports single-precision and double-precision real numbers, but does not support complex numbers.
• Generalized conjugate residual (GCR) supports single-precision and double-precision real numbers, but does not support complex numbers.

KML_SOLVER functions also solve systems of linear equations in clusters. The following methods are involved:

• Iterative solution: CG supports single-precision and double-precision real numbers, but does not support complex numbers.
• Direct solution: Cholesky factorization supports four data types: single-precision real number, double-precision real number, single-precision complex number, and double-precision complex number. LL^T factorization is used for a real symmetric positive definite matrix, and LL^H factorization is used for a complex Hermitian positive definite matrix.