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Optimized multiple precision basic linear computation, especially matrixmultiplication, is crucial for solving ill-conditioned problems. The recentlyproposed Ozaki scheme, which implements accurate matrix multiplication usingexisting optimized low precision matrix multiplication, is known to be usefulfor multiple precision as well. In this paper, we implement fixed precisionmulti-component-way matrix multiplication using Ozaki scheme and show that insome cases it is faster than existing optimized matrix multiplications. We alsoshow that arbitrary precision matrix multiplication using Ozaki scheme is alsofaster than Strassen matrix multiplication up to a certain precision.

Acceleration of Multiple Precision Matrix Multiplication using Ozaki scheme