Matrix algebra serves as a fundamental tool in linear algebra, allowing manipulation and analysis of matrices, which represent linear transformations between vector spaces. This powerful branch of ...

Abstract: Sparse linear algebra kernels achieve sub-optimal performance due to their poor cache locality. Matrix reordering is an effective pre-processing optimization that improves cache locality and ...

Linear algebra is rarely described as popular, but rarely does a mathematician portray it in a different, illuminating light. That is certainly one reason Gilbert Strang’s linear algebra lectures are ...

Abstract: Matrix factorizations are among the most important building blocks of scientific computing. However, state-of-the-art libraries are not communication-optimal, underutilizing current parallel ...