An efficient matrix-matrix multiplication based antisymmetric tensor contraction engine for general order coupled cluster

作者：Hanrath Michael^*; Engels Putzka Anna

来源：Journal of Chemical Physics, 2010, 133(6): 064108.

DOI：10.1063/1.3467878

• coupled cluster calculations
• matrix multiplication
• tensors

In this paper, we present an efficient implementation of general tensor contractions, which is part of a new coupled-cluster program. The tensor contractions, used to evaluate the residuals in each coupled-cluster iteration are particularly important for the performance of the program. We developed a generic procedure, which carries out contractions of two tensors irrespective of their explicit structure. It can handle coupled-cluster-type expressions of arbitrary excitation level. To make the contraction efficient without loosing flexibility, we use a three-step procedure. First, the data contained in the tensors are rearranged into matrices, then a matrix-matrix multiplication is performed, and finally the result is backtransformed to a tensor. The current implementation is significantly more efficient than previous ones capable of treating arbitrary high excitations.

• 出版日期2010-8-14