Skip to main content
SpringerLink
Log in
Book cover
  • Book
  • © 1971

Handbook for Automatic Computation

Volume II: Linear Algebra

Authors:

Editors:

  1. J. H. Wilkinson

    1. Division of Numerical & Applied Mathematics, National Physical Laboratory, Teddington, Middlesex, Great Britain

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. C. Reinsch

    1. Mathematisches Institut, Technischen Universität, 8 München 2, Deutschland

    View author publications

    You can also search for this author in PubMed   Google Scholar

  1. F. L. Bauer

    1. Mathematisches Institut, Technichen Universität, 8 München 2, Deutschland

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. A. S. Householder
    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. F. W. J. Olver
    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  4. H. Rutishauser

    1. Fachgruppe Computer-Wissenschaften, Eidgenössische Technische Hochschule Zürich, Zürich, Schweiz

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  5. K. Samelson
    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  6. E. Stiefel
    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 186)

Sections

Buy it now

eBook USD 119.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (29 chapters)

  1. The Algebraic Eigenvalue Problem

    1. The Q R Algorithm for Band Symmetric Matrices

      • R. S. Martin, C. Reinsch, J. H. Wilkinson
      Pages 266-272

    2. Tridiagonalization of a Symmetric Band Matrix

      • H. R. Schwarz
      Pages 273-283

    6. Solution to the Eigenproblem by a Norm Reducing Jacobi Type Method

      • P. J. Eberlein, J. Boothroyd
      Pages 327-338

    7. Similarity Reduction of a General Matrix to Hessenberg Form

      • R. S. Martin, J. H. Wilkinson
      Pages 339-358

    8. The QR Algorithm for Real Hessenberg Matrices

      • R. S. Martin, G. Peters, J. H. Wilkinson
      Pages 359-371

    10. The Modified LR Algorithm for Complex Hessenberg Matrices

      • R. S. Martin, J. H. Wilkinson
      Pages 396-403

    12. The Calculation of Specified Eigenvectors by Inverse Iteration

      • G. Peters, J. H. Wilkinson
      Pages 418-439

  2. Back Matter

    Pages 440-441
    PDF
Back to top

About this book

The development of the internationally standardized language ALGOL has made it possible to prepare procedures which can be used without modification whenever a computer with an ALGOL translator is available. Volume Ia in this series gave details of the restricted version of ALGOL which is to be employed throughout the Handbook, and volume Ib described its implementation on a computer. Each of the subsequent volumes will be devoted to a presentation of the basic algorithms in some specific areas of numerical analysis. This is the first such volume and it was feIt that the topic Linear Algebra was a natural choice, since the relevant algorithms are perhaps the most widely used in numerical analysis and have the advantage of forming a weil defined dass. The algorithms described here fall into two main categories, associated with the solution of linear systems and the algebraic eigenvalue problem respectively and each set is preceded by an introductory chapter giving a comparative assessment.
Back to top

Keywords

Back to top

Authors, Editors and Affiliations

  • Mathematisches Institut, Technichen Universität, 8 München 2, Deutschland

    F. L. Bauer

  • Fachgruppe Computer-Wissenschaften, Eidgenössische Technische Hochschule Zürich, Zürich, Schweiz

    H. Rutishauser

  • Division of Numerical & Applied Mathematics, National Physical Laboratory, Teddington, Middlesex, Great Britain

    J. H. Wilkinson

  • Mathematisches Institut, Technischen Universität, 8 München 2, Deutschland

    C. Reinsch

Back to top

Bibliographic Information

  • Book Title: Handbook for Automatic Computation

  • Book Subtitle: Volume II: Linear Algebra

  • Authors: J. H. Wilkinson, C. Reinsch

  • Editors: F. L. Bauer, A. S. Householder, F. W. J. Olver, H. Rutishauser, K. Samelson, E. Stiefel

  • Series Title: Grundlehren der mathematischen Wissenschaften

  • DOI: https://doi.org/10.1007/978-3-642-86940-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1971

  • Softcover ISBN: 978-3-642-86942-6Published: 23 August 2014

  • eBook ISBN: 978-3-642-86940-2Published: 06 December 2012

  • Series ISSN: 0072-7830

  • Series E-ISSN: 2196-9701

  • Edition Number: 1

  • Number of Pages: IX, 441

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Computer Science, general, Mathematics, general

  • Industry Sectors: IT & Software, Telecommunications

Back to top

Publish with us

Policies and ethics

Back to top
Access via your institution

Buy it now

eBook USD 119.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Search

Navigation