Algorithms have been used throughout the world’s civilizations to perform fundamental operations for thousands of years. However, discovering algorithms is highly challenging. Matrix multiplication is ...

Transactions of the American Mathematical Society, Vol. 355, No. 10 (Oct., 2003), pp. 3861-3886 (26 pages) Given square matrices B and B′ with a poset-indexed block structure (for which an ij block is ...

The results on the inversion of convolution operators as well as Toeplitz (and block Toeplitz) matrices in the 1-D (one-dimensional) case are classical and have numerous applications. We consider the ...

Google’s DeepMind has been using applied reinforced learning techniques to the multiplication of mathematical matrices and can do it better than some 50 year-old human-made algorithms. Bored with ...

Abstract: We consider discretizations of the hyper-singular integral operator on closed (connected) surfaces and show that the inverses of the corresponding system matrices can be approximated by ...