A case against a divide and conquer approach to the nonsymmetric eigenvalue problem

Thumbnail image of item number 1 in: 'A case against a divide and conquer approach to the nonsymmetric eigenvalue problem'.
Thumbnail image of item number 2 in: 'A case against a divide and conquer approach to the nonsymmetric eigenvalue problem'.
Thumbnail image of item number 3 in: 'A case against a divide and conquer approach to the nonsymmetric eigenvalue problem'.
Thumbnail image of item number 4 in: 'A case against a divide and conquer approach to the nonsymmetric eigenvalue problem'.
Showing 1-4 of 34 pages in this report.

PDF Version Also Available for Download.

Description

Divide and conquer techniques based on rank-one updating have proven fast, accurate, and efficient in parallel for the real symmetric tridiagonal and unitary eigenvalue problems and for the bidiagonal singular value problem. Although the divide and conquer mechanism can also be adapted to the real nonsymmetric eigenproblem in a straightforward way, most of the desirable characteristics of the other algorithms are lost. In this paper, we examine the problems of accuracy and efficiency that can stand in the way of a nonsymmetric divide and conquer eigensolver based on low-rank updating. 31 refs., 2 figs.

Physical Description

28 pages

Creation Information

Jessup, E. R. December 1, 1991.

Context

This report is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by the UNT Libraries Government Documents Department to the UNT Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 16 times. More information about this report can be viewed below.

Who

People and organizations associated with either the creation of this report or its content.

Author

Sponsors

Publisher

Provided By

UNT Libraries Government Documents Department

Serving as both a federal and a state depository library, the UNT Libraries Government Documents Department maintains millions of items in a variety of formats. The department is a member of the FDLP Content Partnerships Program and an Affiliated Archive of the National Archives.

About | Browse this Partner

Contact Us

Corrections Questions

What

Descriptive information to help identify this report. Follow the links below to find similar items on the Digital Library.

Description

Divide and conquer techniques based on rank-one updating have proven fast, accurate, and efficient in parallel for the real symmetric tridiagonal and unitary eigenvalue problems and for the bidiagonal singular value problem. Although the divide and conquer mechanism can also be adapted to the real nonsymmetric eigenproblem in a straightforward way, most of the desirable characteristics of the other algorithms are lost. In this paper, we examine the problems of accuracy and efficiency that can stand in the way of a nonsymmetric divide and conquer eigensolver based on low-rank updating. 31 refs., 2 figs.

Physical Description

28 pages

Notes

OSTI; NTIS; GPO Dep.

Language

Item Type

Identifier

Unique identifying numbers for this report in the Digital Library or other systems.

  • Other: DE92004086
  • Report No.: ORNL/TM-11903
  • Grant Number: AC05-84OR21400
  • Office of Scientific & Technical Information Report Number: 5926172
  • Archival Resource Key: ark:/67531/metadc1099062

Collections

This report is part of the following collection of related materials.

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.

About | Browse this Collection

What responsibilities do I have when using this report?

Digital Files

When

Dates and time periods associated with this report.

Creation Date

  • December 1, 1991

Added to The UNT Digital Library

  • Feb. 18, 2018, 3:59 p.m.

Description Last Updated

  • Aug. 29, 2022, 5:28 p.m.

Usage Statistics

When was this report last used?

Yesterday: 0
Past 30 days: 1
Total Uses: 16
More Statistics

Interact With This Report

Here are some suggestions for what to do next.

Start Reading

Thumbnail image of item number 1 in: 'A case against a divide and conquer approach to the nonsymmetric eigenvalue problem'.
Thumbnail image of item number 2 in: 'A case against a divide and conquer approach to the nonsymmetric eigenvalue problem'.
Thumbnail image of item number 3 in: 'A case against a divide and conquer approach to the nonsymmetric eigenvalue problem'.
Thumbnail image of item number 4 in: 'A case against a divide and conquer approach to the nonsymmetric eigenvalue problem'.

PDF Version Also Available for Download.

Citations, Rights, Re-Use

International Image Interoperability Framework

IIF Logo

We support the IIIF Presentation API

Links for Robots

Helpful links in machine-readable formats.

Archival Resource Key (ARK)

International Image Interoperability Framework (IIIF)

Metadata Formats

Images

URLs

Stats

Jessup, E. R. A case against a divide and conquer approach to the nonsymmetric eigenvalue problem, report, December 1, 1991; Tennessee. (https://digital.library.unt.edu/ark:/67531/metadc1099062/: accessed July 17, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.

Back to Top of Screen