Introduction to matrix computations

Bibliographic Information

Introduction to matrix computations

G.W. Stewart

(Computer science and applied mathematics)

Academic Press, c1973

Available at  / 81 libraries

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Note

Bibliography: p. 417-423

Includes indexes

Description and Table of Contents

Description

Numerical linear algebra is far too broad a subject to treat in a single introductory volume. Stewart has chosen to treat algorithms for solving linear systems, linear least squares problems, and eigenvalue problems involving matrices whose elements can all be contained in the high-speed storage of a computer. By way of theory, the author has chosen to discuss the theory of norms and perturbation theory for linear systems and for the algebraic eigenvalue problem. These choices exclude, among other things, the solution of large sparse linear systems by direct and iterative methods, linear programming, and the useful Perron-Frobenious theory and its extensions. However, a person who has fully mastered the material in this book should be well prepared for independent study in other areas of numerical linear algebra.

Table of Contents

Preliminaries. Practicalities. The Direct Solution of Linear Systems. Norms, Limits, and Condition Numbers. The Linear Least Squares Problem. Eigenvalues and Eigenvectors. The QR Algorithm. The Greek Alphabet and Latin Notational Correspondents. Determinants. Rounding-Error Analysis of Solution of Triangular Systems and of Gaussian Elimination. Of Things Not Treated. Bibliography. Index.

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Details

  • NCID
    BA01219710
  • ISBN
    • 0126703507
  • LCCN
    72082636
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    New York
  • Pages/Volumes
    xiii, 441 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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