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MPMPLAPACK: The Massively Parallel Multi-Precision Linear Algebra Package

Interactive Parallel Computation in Support of Research in Algebra, Geometry and Number Theory
January 30,2007 09:00 AM to 10:00 AM
Speakers:
Martin, Jason
VMath - The Next Generation for Math Lectures on Streaming Video

Abstract:

For several decades, researchers in the applied fields have had access to powerful linear algebra packages designed to run on massively parallel systems. Libraries such as ScaLAPACK and PLAPACK provide a rich set of functions (usually based on BLAS) for performing linear algebra over single or double precision real or complex data. However, such libraries are of limited use to researchers in discrete mathematics who often need to compute with multi-precision data types.

This talk will cover a massively parallel multi-precision linear algebra package that I am attempting to write. The goal of this C/MPI library is to provide drop-in parallel functionality to existing number theory and algebraic geometry programs (such as Pari, Sage, and Macaulay2) while preserving enough flexibility to eventually become a full multi-precision version of PLAPACK. I will describe some architectural assumptions, design descisions, and benchmarks made so far and actively solicit input from the audience (I'll buy coffee for the person who suggests the best alternative to the current name).

Lecture #13275

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