Grundlehren der mathematischen Wissenschaften

Handbook for Automatic Computation

Volume II: Linear Algebra

Authors: Wilkinson, John H., Reinsch, C.

Editors: Editor-in-chief: Bauer, Friedrich L.
Householder, Alston S. (Ed.)

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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.

Table of contents (29 chapters)

  • Symmetric Decomposition of a Positive Definite Matrix

    Martin, R. S. (et al.)

    Pages 9-30

  • Iterative Refinement of the Solution of a Positive Definite System of Equations

    Martin, R. S. (et al.)

    Pages 31-44

  • Inversion of Positive Definite Matrices by the Gauss-Jordan Method

    Bauer, F. L. (et al.)

    Pages 45-49

  • Symmetric Decomposition of Positive Definite Band Matrices

    Martin, R. S. (et al.)

    Pages 50-56

  • The Conjugate Gradient Method

    Ginsburg, T.

    Pages 57-69

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-642-86940-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA
  • ISBN 978-3-642-86942-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Handbook for Automatic Computation
Book Subtitle
Volume II: Linear Algebra
Authors
Editors
  • Friedrich L. Bauer
  • Alston S. Householder
Series Title
Grundlehren der mathematischen Wissenschaften
Series Volume
186
Copyright
1971
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-86940-2
DOI
10.1007/978-3-642-86940-2
Softcover ISBN
978-3-642-86942-6
Series ISSN
0072-7830
Edition Number
1
Number of Pages
IX, 441
Number of Illustrations and Tables
1 b/w illustrations
Topics