Matrix effects strategy formulation

To perform several factorizations with one pivot strategy effectively we generate a pseudo-code. This code describes the operations necessary to factorize A and can be formulated independent of a computer [4]. For the vec-torization and parallelization respectively we have to find elements of A that can be computed independently of each other. Therefor we assign a matrix M = rriij) to LU = PAQ and determine the levels of independency rriij using the algorithm of Yamamoto and Takahashi [8]. All matrix elements with the same level can be computed independently. 

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