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" Matrix analysis for scientists and engineers / "
Alan J. Laub.
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BL
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| Record Number
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950866
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| Doc. No
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b705236
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| Main Entry
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Laub, Alan J.,1948-
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| Title & Author
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Matrix analysis for scientists and engineers /\ Alan J. Laub.
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| Publication Statement
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Philadelphia :: Society for Industrial and Applied Mathematics,, [2005]
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, ©2005
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| Page. NO
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xiii, 157 pages :: illustrations ;; 26 cm
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| ISBN
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0898715768
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: 9780898715767
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| Bibliographies/Indexes
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Includes bibliographical references (pages 151-152) and index.
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| Contents
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Introduction and review -- Vector spaces -- Linear transformations -- Introduction to the Moore-Penrose pseudoinverse -- Introduction to the singular value decomposition -- Linear equations -- Projections, inner product spaces, and norms -- Linear least squares problems -- Eigenvalues and eigenvectors -- Canonical forms -- Linear differential and difference equations -- Generalized eigenvalue problems -- Kronecker products.
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| Abstract
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"Because the tools of matrix analysis are applied on a daily basis to problems in biology, chemistry, econometrics, engineering, physics, statistics, and a wide variety of other fields, the text can serve a rather diverse audience. The book is primarily intended to be used as a text for senior undergraduate or beginning graduate students in engineering, the sciences, mathematics, computer science, or computational science who wish to be familiar enough with matrix analysis and linear algebra that they can effectively use the tools and ideas of these fundamental subjects in a variety of applications. However, individual engineers and scientists who need a concise reference or a text for self-study will also find this book useful."
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"Prerequisites for using this text are knowledge of calculus and some previous exposure to matrices and linear algebra, including, for example, a basic knowledge of determinants, singularity of matrices, eigenvalues and eigenvectors, and positive definite matrices. There are exercises at the end of each chapter."--Jacket.
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| Subject
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Mathematical analysis.
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Matrices.
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Mathematical analysis.
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Matrices.
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| Dewey Classification
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512.9/434
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| LC Classification
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QA188.L38 2005
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| NLM classification
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31.25bcl
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31.25.bcl
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