A uniform way of reasoning about array-based computation in radar: Algebraically connecting the hardware/software boundary
LR Mullin - Digital Signal Processing, 2005 - Elsevier
Embedded software processing requirements will exceed 1 trillion operations per second in
the 2005–2010 time frame. Consequently, efficient use of processors and memory, at all …
the 2005–2010 time frame. Consequently, efficient use of processors and memory, at all …
Four easy ways to a faster fft
LR Mullin, SG Small - Journal of Mathematical Modelling and Algorithms, 2002 - Springer
Abstract The Fast Fourier Transform (FFT) was named one of the Top Ten algorithms of the
20th century, and continues to be a focus of current research. A problem with currently used …
20th century, and continues to be a focus of current research. A problem with currently used …
Implementing Mathematics of Arrays in Modern Fortran: Efficiency and Efficacy
A Markus, L Mullin - Authorea Preprints, 2023 - techrxiv.org
Mathematics of Arrays (MoA) concerns the formal description of algorithms working on
arrays of data and the efficient and effective implementation in software and hardware. Since …
arrays of data and the efficient and effective implementation in software and hardware. Since …
On materializations of array-valued temporaries
DJ Rosenkrantz, LR Mullin, HB Hunt - … Heights, NY, USA, August 10–12 …, 2001 - Springer
We present results demonstrating the usefulness of monolithic program analysis and
optimization prior to scalarization. In particular, models are developed for studying …
optimization prior to scalarization. In particular, models are developed for studying …
A Transformation--Based Approach for the Design of Parallel/Distributed Scientific Software: the FFT
HB Hunt, LR Mullin, DJ Rosenkrantz… - arXiv preprint arXiv …, 2008 - arxiv.org
We describe a methodology for designing efficient parallel and distributed scientific
software. This methodology utilizes sequences of mechanizable algebra--based optimizing …
software. This methodology utilizes sequences of mechanizable algebra--based optimizing …
On minimizing materializations of array-valued temporaries
DJ Rosenkrantz, LR Mullin, HB Hunt Iii - ACM Transactions on …, 2006 - dl.acm.org
We consider the analysis and optimization of code utilizing operations and functions
operating on entire arrays. Models are developed for studying the minimization of the …
operating on entire arrays. Models are developed for studying the minimization of the …
[PDF][PDF] A Uniform Way of Reasoning about Array-Based Computation in Radar
L Mullin - … Signal Processing, Elsevier Publishers, accepted for …, 2003 - researchgate.net
Embedded processing requirements will exceed 10 trillion operations per second in the
2005-2010 time frame. Consequently, efficient use of processors and memory, at all levels …
2005-2010 time frame. Consequently, efficient use of processors and memory, at all levels …
[PDF][PDF] Three Easy Steps to a Faster FFT
LR Mullin - researchgate.net
Abstract The Fast Fourier Transform (FFT) was named one of the Top Ten algorithms of the
20th century/1/, and continues to be a focus of current research. A problem with currently …
20th century/1/, and continues to be a focus of current research. A problem with currently …
[PDF][PDF] Towards an Indexing Calculus for E cient Distributed Array Computation
HB Hunt III, L Mullin, DJ Rosenkrantz - 1997 - academia.edu
High performance computing and communication is used to solve large scienti c problems.
Scienti c programming and subsequent compilation is signi cantly complicated when …
Scienti c programming and subsequent compilation is signi cantly complicated when …