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Accelerated Multiple Precision Matrix Multiplication using Strassen's Algorithm and Winograd's Variant (1410.1599v1)
Published 7 Oct 2014 in math.NA and cs.NA
Abstract: The Strassen algorithm and Winograd's variant accelerate matrix multiplication by using fewer arithmetic operations than standard matrix multiplication. Although many papers have been published to accelerate single- as well as double-precision matrix multiplication by using these algorithms, no research to date has been undertaken to accelerate multiple precision matrix multiplication. In this paper, we propose a multiple precision matrix multiplication program for matrices of any size and test its performance. We also reveal special properties of our program through its application to LU decomposition.