Las Vegas algorithms that are based on Lanczos’s method for solving symmetric linear systems are presented and analyzed. These are compared to a similar randomized Lanczos algor...
Abstract. This paper shows that there is a close relationship between the Euclidean algorithm for polynomials and the Lanczos method for solving sparse linear systems, especially w...
In this paper, we report our parallel implementations of the Lanczos sparse linear system solving algorithm over large prime fields, on a multi-core platform. We employ several lo...
We present a distributed scheme for initialization from atomic wavefunctions in ab initio molecular dynamics simulations. Good initial guesses for approximate wavefunctions are ve...
Iterative numerical algorithms with high memory bandwidth requirements but medium-size data sets (matrix size ∼ a few 100s) are highly appropriate for FPGA acceleration. This pap...
Abid Rafique, Nachiket Kapre, George A. Constantin...