Alan J. Laub Computational Matrix Analysis

ISBN 13 : 9781611972207

Computational Matrix Analysis

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9781611972207: Computational Matrix Analysis

Using an approach that author Alan Laub calls matrix analysis for grown-ups, this new textbook introduces fundamental concepts of numerical linear algebra and their application to solving certain numerical problems arising in state-space control and systems theory. It is written for advanced undergraduate and beginning graduate students and can be used as a follow-up to Matrix Analysis for Scientists and Engineers (SIAM, 2005), a compact single-semester introduction to matrix analysis for engineers and computational scientists by the same author.

Computational Matrix Analysis provides readers with a one-semester introduction to numerical linear algebra; an introduction to statistical condition estimation in book form for the first time; and an overview of certain computational problems in control and systems theory.

The book provides a number of elements designed to help students learn to use numerical linear algebra in day-to-day computing or research, including a brief review of matrix analysis, including notation, and an introduction to finite (IEEE) arithmetic; discussion and examples of conditioning, stability, and rounding analysis; an introduction to mathematical software topics related to numerical linear algebra; a thorough introduction to Gaussian elimination, along with condition estimation techniques; coverage of linear least squares, with orthogonal reduction and QR factorization; variants of the QR algorithm; and applications of the discussed algorithms.

Audience: This book is intended for students who are interested in quickly learning the fundamentals of numerical linear algebra. It is also appropriate for mathematically competent engineers and scientists engaged in computation who wish to delve more deeply into how and why their algorithms work or do not work.

Contents: Preface; Chapter 1: Preliminaries and Notation; Chapter 2: Introduction to Finite Arithmetic; Chapter 3: Conditioning and Numerical Stability; Chapter 4: Introduction to Rounding Analysis; Chapter 5: Numerical Matrix Algebra; Chapter 6: Gaussian Elimination; Chapter 7: Solving Linear Systems; Chapter 8: Linear Least Squares Problems; Chapter 9: Computing Eigenvalues and Eigenvectors; Chapter 10: Other QR-Type Algorithms; Chapter 11: Applications; Bibliography; Index.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Book Description :

This text provides an introduction to numerical linear algebra together with its application to solving certain problems arising in state-space control and systems theory, including statistical condition estimation. Ideal for use as a one-semester course for graduates and advanced undergraduates, or as a theoretical resource for scientists and engineers.

About the Author :

Alan J. Laub is a Distinguished Professor in the Departments of Mathematics and Electrical Engineering at UCLA. He has served on the editorial boards of numerous leading journals and is a member of SIAM, IEEE, and the ACM. He has authored or co-authored over 200 technical papers on his research interests in numerical linear algebra, scientific computation, and computer-aided control system design. His book Matrix Analysis for Scientists and Engineers was published by SIAM in 2005.

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Alan J. Laub
Edité par Society for Industrial Applied Mathematics,U.S., United States (2012)
ISBN 10 : 1611972205 ISBN 13 : 9781611972207
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Description du livre Society for Industrial Applied Mathematics,U.S., United States, 2012. Paperback. État : New. Language: English . Brand New Book. Using an approach that author Alan Laub calls matrix analysis for grown-ups , this textbook introduces fundamental concepts of numerical linear algebra and their application to solving certain numerical problems arising in state-space control and systems theory. It is written for advanced undergraduate and beginning graduate students and can be used as a follow-up to Matrix Analysis for Scientists and Engineers (SIAM, 2005), a compact single-semester introduction to matrix analysis for engineers and computational scientists by the same author. Computational Matrix Analysis provides readers with:* A one-semester introduction to numerical linear algebra.* An introduction to statistical condition estimation in book form for the first time.* An overview of certain computational problems in control and systems theory. The book features a number of elements designed to help students learn to use numerical linear algebra in day-to-day computing or research, including:* A brief review of matrix analysis, including notation, and an introduction to finite (IEEE) arithmetic.* Discussion and examples of conditioning, stability, and rounding analysis.*An introduction to mathematical software topics related to numerical linear algebra.* A thorough introduction to Gaussian elimination, along with condition estimation techniques.* Coverage of linear least squares, with orthogonal reduction and QR factorization.* Variants of the QR algorithm.* Applications of the discussed algorithms. N° de réf. du libraire AAN9781611972207

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Laub, Alan J.
Edité par Society for Industrial and Appli (2012)
ISBN 10 : 1611972205 ISBN 13 : 9781611972207
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Description du livre Society for Industrial and Appli, 2012. Paperback. État : New. Dispatched, from the UK, within 48 hours of ordering. This book is in Brand New condition. N° de réf. du libraire CHL1931007

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Alan J. Laub
Edité par Society for Industrial Applied Mathematics,U.S., United States (2012)
ISBN 10 : 1611972205 ISBN 13 : 9781611972207
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The Book Depository US
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Description du livre Society for Industrial Applied Mathematics,U.S., United States, 2012. Paperback. État : New. Language: English . Brand New Book. Using an approach that author Alan Laub calls matrix analysis for grown-ups , this textbook introduces fundamental concepts of numerical linear algebra and their application to solving certain numerical problems arising in state-space control and systems theory. It is written for advanced undergraduate and beginning graduate students and can be used as a follow-up to Matrix Analysis for Scientists and Engineers (SIAM, 2005), a compact single-semester introduction to matrix analysis for engineers and computational scientists by the same author. Computational Matrix Analysis provides readers with:* A one-semester introduction to numerical linear algebra.* An introduction to statistical condition estimation in book form for the first time.* An overview of certain computational problems in control and systems theory. The book features a number of elements designed to help students learn to use numerical linear algebra in day-to-day computing or research, including:* A brief review of matrix analysis, including notation, and an introduction to finite (IEEE) arithmetic.* Discussion and examples of conditioning, stability, and rounding analysis.*An introduction to mathematical software topics related to numerical linear algebra.* A thorough introduction to Gaussian elimination, along with condition estimation techniques.* Coverage of linear least squares, with orthogonal reduction and QR factorization.* Variants of the QR algorithm.* Applications of the discussed algorithms. N° de réf. du libraire AAN9781611972207

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Laub, Alan J.
Edité par Society for Industrial and Applied Mathematics (2012)
ISBN 10 : 1611972205 ISBN 13 : 9781611972207
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Description du livre Society for Industrial and Applied Mathematics, 2012. PAP. État : New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. N° de réf. du libraire CE-9781611972207

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ALAN J. LAUB
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ISBN 10 : 1611972205 ISBN 13 : 9781611972207
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Description du livre Soc Industrial Applied Maths, 2012. Paperback. État : NEW. 9781611972207 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. N° de réf. du libraire HTANDREE0498278

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Alan J. Laub
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Description du livre SIAM-Society for Industrial and Applied Mathematics, 2012. Paperback. État : Brand New. 168 pages. 9.90x7.00x0.40 inches. In Stock. N° de réf. du libraire __1611972205

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