Abstract: Even though the task of multiplying matrices appears to be rather straightforward, it can be quite challenging in practice. Many researchers have focused on how to effectively multiply two 2 ...

Multiplication in Python may seem simple at first—just use the * operator—but it actually covers far more than just numbers. You can use * to multiply integers and floats, repeat strings and lists, or ...

When the digital revolution first hit classrooms in the early 2010s—and more schools began issuing laptops or tablets to students for individual use—online learning seemed to promise a faster, easier ...

In a note by Baker [1], a method is given for getting the limiting connectivity matrix, B, of a matrix whose entries are Boolean 0's and 1's. Harary [2] suggests determining An-1 since An-1 = An = ··· ...

Presenting an algorithm that solves linear systems with sparse coefficient matrices asymptotically faster than matrix multiplication for any ω > 2. Our algorithm can be viewed as an efficient, ...

Computer scientists are a demanding bunch. For them, it’s not enough to get the right answer to a problem — the goal, almost always, is to get the answer as efficiently as possible. Take the act of ...

Teddy Svoronos, Lecturer in Public Policy at Harvard Kennedy School of Government, uses generative AI to develop creative interactive learning scenarios for students to practice specific skills. He ...

Abstract: In the light bulb problem, one is given as input vectors $x_{1}, \ldots, x_{n}, y_{1}, \ldots, y_{n} \in\{-1,1\}^{d}$ which are all uniformly random. They ...

MPIVMM.cpp #The program code using MPI collective communication functions. MPIVMMP2P.cpp #The program code using MPI point-to-point communication functions. matrix.txt #4x4 input matrix. matrix_16.txt ...