Skip to content
Register Sign in Wishlist
ARPACK Users' Guide

ARPACK Users' Guide
Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods

£50.00

Part of Software, Environments and Tools

  • Date Published: April 1998
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898714074

£ 50.00
Paperback

This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
Unavailable Add to wishlist

Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • This book is a guide to understanding and using the software package ARPACK to solve large algebraic eigenvalue problems. The software described is based on the implicitly restarted Arnoldi method, which has been heralded as one of the three most important advances in large scale eigenanalysis in the past ten years. The book explains the acquisition, installation, capabilities, and detailed use of the software for computing a desired subset of the eigenvalues and eigenvectors of large (sparse) standard or generalized eigenproblems. It also discusses the underlying theory and algorithmic background at a level that is accessible to the general practitioner.

    Reviews & endorsements

    'This is a very useful book that follows the tradition of LINPACK and LAPACK users' guides. The book is well-written, precise, and does not lead to confusion. The required theory is also well-presented. We have used the package, following the guidelines in the users' guide successfully.' Henk van der Vorst

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: April 1998
    • format: Paperback
    • isbn: 9780898714074
    • length: 158 pages
    • dimensions: 255 x 180 x 14 mm
    • weight: 0.348kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    List of figures
    List of tables
    Preface
    1. Introduction to ARPACK. Important features
    Getting started
    Reverse communication interface
    Availability
    Installation
    Documentation
    Dependence on LAPACK and BLAS
    Expected performance
    P_ARPACK
    Contributed additions
    Trouble shooting and problems
    2. Getting started with ARPACK. Directory structure and contents
    Getting started
    An example for a symmetric Eigenvalue problem
    3. General use of ARPACK. Naming conventions, Precisions, and types
    Shift and invert spectral transformation mode
    Reverse communication structure for shift-Invert
    Using the computational modes
    Computational modes for real symmetric problems
    Postprocessing for Eigenvectors using dseupd
    Computational modes for real nonsymmetric problems
    Postprocessing for Eigenvectors Using dneupd
    Computational modes for complex problems
    Postprocessing for Eigenvectors Using zneupd
    4. The implicitly restarted Arnoldi method: structure of the Eigenvalue problem
    Krylov subspaces and projection methods
    The Arnoldi factorization
    Restarting the Arnoldi method
    The generalized Eigenvalue problem
    Stopping Criterion
    5. Computational routines. ARPACK subroutines
    LAPACK routines used by ARPACK
    BLAS routines used by ARPACK
    Appendix A. Templates and driver routines
    Symmetric drivers
    Real Nonsymmetric drivers
    Complex drivers
    Band drivers
    The singular value decomposition
    Appendix B. Tracking the progress of ARPACK. Obtaining trace output
    Check-pointing ARPACK
    Appendix C. The XYaupd ARPACK Routines. DSAUPD
    DNAUPD
    ZNAUPD
    Bibliography
    Index.

  • Authors

    R. B. Lehoucq, Sandia National Laboratories, New Mexico

    D. C. Sorensen, Rice University, Houston

    C. Yang

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×