DARPA/ITO Progress Report for the project ``A scalable library for numerical linear algebra'' for fiscal year 1995/1996

Project Summary

The objective of the project ``A Scalable Library for Numerical Linear Algebra'' is to produce a software library for performing dense and sparse linear algebra computations on massively parallel computers. These types of computations are used extensively in scientific and engineering applications, and so the libraries developed will be a key component in the effective use of massively parallel computers for performing large-scale scientific computations, such as those targeted by the High Performance Computing and Communications (HPCC) program.

The ScaLAPACK project is made up of 4 components:


Quad Chart


Collaborators

The ScaLAPACK project is a collaborative effort between the following institutions and principal investigators:

University of Tennessee, Knoxville

Jack J. Dongarra, Principal Investigator

PROGRESS REPORT 1995/1996

Jack. J. Dongarra is working on the design and implementation of ScaLAPACK, a library of software for doing dense and banded linear algebra computations on distributed memory concurrent computers.

Mathematical Sciences Section of Oak Ridge National Laboratory

David W. Walker, Co-Principal Investigator

PROGRESS REPORT 1995/1996

David W. Walker is also involved in the design and implementation of ScaLAPACK.

Rice University

Danny Sorensen, Co-Principal Investigator

PROGRESS REPORT 1995/1996

Danny Sorensen is working on the design and implementation of PARPACK, a distributed-memory library of software that uses the Arnoldi method for solving large-scale eigenvalue problems for symmetric matrices.

University of California, Los Angeles

Tony Chan, Co-Principal Investigator

PROGRESS REPORT 1995/1996

Tony Chan is doing research into iterative solvers for sparse nonsymmetric matrices, and is involved in the design and implementation of PARPRE, a package of preconditioners for large sparse iterative solvers.

University of California, Berkeley

James Demmel, Co-Principal Investigator

PROGRESS REPORT 1995/1996

James Demmel is investigating the generalized singular value decomposition of two matrices, and the use of the matrix sign function for locating eigenvalues in a specified parallelogram in the complex plane. He is also involved in the design and implementation of ScaLAPACK.

University of Illinois, Urbana-Champaign

Michael T. Heath, Co-Principal Investigator

Padma Raghavan, Co-Principal Investigator

PROGRESS REPORT 1995/1996

Michael T. Heath and Padma Raghavan are developing software for the symbolic and numeric Cholesky factorization of symmetric, positive-definite matrices. They are involved in the design and implementation of the CAPSS project.

The Scalable Libraries Project is largely funded by the Defense Advanced Research Projects Agency. DARPA's Information Technology Office sponsors a variety of Research Programs.

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Last Modified July 15, 1996