SubtreeLU is a high-performance parallel sparse LU factorization algorithm for SPICE-like circuit simulation. It is designed to be used in circuit simulation software, particularly for solving large ...

Abstract: Sparse solver has become the bottleneck of SPICE simulators. There has been few work on GPU-based sparse solver because of the high data-dependency. The strong data-dependency determines ...

In this assignment, you will develop two parallel implementations of LU decomposition that use Gaussian elimination to factor a dense N x N matrix into an upper-triangular one and a lower-triangular ...

Abstract: The elimination tree for unsymmetric matrices is a recent model playing important roles in sparse LU factorization. This tree captures the dependencies between the tasks of some well-known ...

It is well known that an invertible matrix admits a factorization as a product of a lower triangular matrix L and an upper triangular matrix U if and only if all the principal minors of the matrix are ...

Perold, André. "A Degeneracy Exploiting LU Factorization for the Simplex Method." In Large Scale Linear Programming, edited by G. B. Dantzig, M. A. H. Dempster, and Markku Kallio. Laxenburg, Austria: ...