A direct method for solving linear systems by transforming the matrix into an upper triangular form and then performing back substitution. Decomposes a matrix into the product of a lower triangular ...

In this paper we present an implementation of a recursive algorithm for triangular matrix system solving targeting a hybrid multicore + GPU system. Published in: 2016 IEEE/ACS 13th International ...

A fast parallel algorithm, which is generalized from the parallel algorithms for solving banded linear systems, is proposed to solve sparse triangular systems. The original problem is transformed into ...

In this talk, I will present highly scalable communication-avoiding algorithms for sparse LU factorization and sparse triangular solver. The communication-avoiding "3Dimension (D)" algorithms for ...

Explore the fundamentals of the Finite Element Method (FEM), one of the most powerful computational tools used in engineering analysis. This introductory video breaks down the core concepts behind FEM ...

Currently, eig and similar throw no method eigfact when applied to these types of matrices. We should be able to provide efficient LAPACK-based solvers for these types. For Tridiagonal, we can exploit ...