Basic decompositions

G.W. Stewart

This thorough, concise, and superbly written volume is the first in a self-contained five-volume series devoted to matrix algorithms. It focuses on the computation of matrix decompositions - the factorization of matrices into products of similar ones. The first two chapters provide the required background from mathematics and computer science needed to work effectively in matrix computations. The remaining chapters are devoted to the computation and applications of the LU and QR decompositions. The series is aimed at the nonspecialist who needs more than black-box proficiency with matrix computations. A certain knowledge of elementary analysis and linear algebra is assumed, as well as a reasonable amount of programming experience. The guiding principle, that if something is worth explaining, it is worth explaining fully, has necessarily restricted the scope of the series, but the selection of topics should give the reader a sound basis for further study.

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[目次]

  • Preface
  • 1. Matrices, algebra, and analysis
  • 2. Matrices and machines
  • 3. Gaussian elimination
  • 4. The QR decomposition and least squares
  • 5. Rank-reducing decompositions
  • References
  • Index.

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この本の情報

書名 Basic decompositions
著作者等 Stewart, G. W.
Stewart G.W.
シリーズ名 Matrix algorithms
出版元 Society for Industrial and Applied Mathematics
刊行年月 c1998
ページ数 xix, 458 p.
大きさ 26 cm
ISBN 0898714141
NCID BA40404610
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言語 英語
出版国 アメリカ合衆国
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