Numerical methods on some structured matrix algebra problems

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This proposal concerned the design, analysis, and implementation of serial and parallel algorithms for certain structured matrix algebra problems. It emphasized large order problems and so focused on methods that can be implemented efficiently on distributed-memory MIMD multiprocessors. Such machines supply the computing power and extensive memory demanded by the large order problems. We proposed to examine three classes of matrix algebra problems: the symmetric and nonsymmetric eigenvalue problems (especially the tridiagonal cases) and the solution of linear systems with specially structured coefficient matrices. As all of these are of practical interest, a major goal of this work was to ... continued below

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5 p.

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Jessup, E.R. June 1, 1996.

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Description

This proposal concerned the design, analysis, and implementation of serial and parallel algorithms for certain structured matrix algebra problems. It emphasized large order problems and so focused on methods that can be implemented efficiently on distributed-memory MIMD multiprocessors. Such machines supply the computing power and extensive memory demanded by the large order problems. We proposed to examine three classes of matrix algebra problems: the symmetric and nonsymmetric eigenvalue problems (especially the tridiagonal cases) and the solution of linear systems with specially structured coefficient matrices. As all of these are of practical interest, a major goal of this work was to translate our research in linear algebra into useful tools for use by the computational scientists interested in these and related applications. Thus, in addition to software specific to the linear algebra problems, we proposed to produce a programming paradigm and library to aid in the design and implementation of programs for distributed-memory MIMD computers. We now report on our progress on each of the problems and on the programming tools.

Physical Description

5 p.

Notes

OSTI as DE96011195

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  • Other Information: PBD: [1996]

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  • Other: DE96011195
  • Report No.: DOE/ER/25215--T1
  • Grant Number: FG03-94ER25215
  • DOI: 10.2172/244504 | External Link
  • Office of Scientific & Technical Information Report Number: 244504
  • Archival Resource Key: ark:/67531/metadc673437

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • June 1, 1996

Added to The UNT Digital Library

  • June 29, 2015, 9:42 p.m.

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  • Dec. 18, 2015, 4:09 p.m.

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Jessup, E.R. Numerical methods on some structured matrix algebra problems, report, June 1, 1996; United States. (digital.library.unt.edu/ark:/67531/metadc673437/: accessed November 20, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.