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Reference manual A Reference manual In this section we provide details of each individual subroutine in PIM. Each entry describes the purpose, the name and parameter list, storage requirements, function dependencies and restrictions of the respective routine. For each iterative method routine we also provide a description of the implemented algorithm. Vectors and scalar values are denoted by lower case letters and matrices by capital letters. Subscripts indicate either the iteration or a vector column, the latter in the case of a matrix. Each computational step in the algorithm is numbered; if a routine suers a breakdown the step number where the failure occurred is returned in IPAR(13). Whenever an underscore appears it indicates the type of a variable or function (REAL, DOUBLE PRECISION, COMPLEX, DOUBLE COMPLEX) and should be replaced by S, D, C or Z, whichever is appropriate. The COMPLEX and DOUBLE COMPLEX PIM routines compute inner-products using the BLAS CDOTC and ZDOTC routines respectively. 44