8 citations · 15 across the 5 of their papers we have counts for
5 papers
Parallelizing Optimal Multiple Sequence Alignment by Dynamic Programming
Manal Helal, Hossam El-Gindy, Lenore Mullin +1
Optimal multiple sequence alignment by dynamic programming, like many highly dimensional scientific computing problems, has failed to benefit from the improvements in computing per…
MoA Interpretation of the Iterative Conjugate Gradient Method with Psi Reduction - A Tutorial to teach the Mathematically literate in Linear and Tensor Algebra: Part I
Lenore Mullin, Paul Sebexen
It is often difficult to learn new mathematics semantically and syntactically, even when there are similarities in the words and meaning when discussed aloud. The goal of this docu…
Tensors Come of Age: Why the AI Revolution will help HPC
John L. Gustafson, Lenore M. Mullin
This article discusses how the automation of tensor algorithms, based on A Mathematics of Arrays and Psi Calculus, and a new way to represent numbers, Unum Arithmetic, enables mech…
A generalized inner and outer product of arbitrary multi-dimensional arrays using A Mathematics of Arrays (MoA)
James E. Raynolds, Lenore M. Mullin
An algorithm has been devised to compute the inner and outer product between two arbitrary multi-dimensional arrays A and B in a single piece of code. It was derived using A Mathem…
A Transformation--Based Approach for the Design of Parallel/Distributed Scientific Software: the FFT
Harry B. Hunt, Lenore R. Mullin, Daniel J. Rosenkrantz +1
We describe a methodology for designing efficient parallel and distributed scientific software. This methodology utilizes sequences of mechanizable algebra--based optimizing transf…