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Matrix Analysis [Paperback]

Roger A. Horn , Charles R. Johnson
4.3 out of 5 stars  See all reviews (15 customer reviews)

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Matrix Analysis Matrix Analysis 4.0 out of 5 stars (5)
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Book Description

February 23, 1990 0521386322 978-0521386326 Reprint
Linear algebra and matrix theory have long been fundamental tools in mathematical disciplines as well as fertile fields for research. In this book the authors present classical and recent results of matrix analysis that have proved to be important to applied mathematics. Facts about matrices, beyond those found in an elementary linear algebra course, are needed to understand virtually any area of mathematical science, but the necessary material has appeared only sporadically in the literature and in university curricula. As interest in applied mathematics has grown, the need for a text and reference offering a broad selection of topics in matrix theory has become apparent, and this book meets that need. This volume reflects two concurrent views of matrix analysis. First, it encompasses topics in linear algebra that have arisen out of the needs of mathematical analysis. Second, it is an approach to real and complex linear algebraic problems that does not hesitate to use notions from analysis. Both views are reflected in its choice and treatment of topics.

Editorial Reviews


"There seems little doubt that the book will become a standard reference for research workers in numerical mathematics." Computing Reviews

"The reviewer strongly recommends that those working in either pure or applied linear algebra have this book on their desks." SIAM Review

"The presentation is straightforward and extremely readable. The authors' enthusiasm pervades the book, and the printing is what we expect from this publisher. This will doubtless be the standard text for years to come." American Scientist

Book Description

A presentation of classical as well as recent results of matrix analysis that have proven important to applied mathematics and reflect two concurrent views of the subject.

Product Details

  • Paperback: 575 pages
  • Publisher: Cambridge University Press; Reprint edition (February 23, 1990)
  • Language: English
  • ISBN-10: 0521386322
  • ISBN-13: 978-0521386326
  • Product Dimensions: 9.1 x 6.3 x 1.2 inches
  • Shipping Weight: 1.2 pounds
  • Average Customer Review: 4.3 out of 5 stars  See all reviews (15 customer reviews)
  • Amazon Best Sellers Rank: #296,282 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews
36 of 38 people found the following review helpful
5.0 out of 5 stars Excellent book.... for the initiated July 8, 2000
Horn and Johnson has written an excellent reference book on somewhat-advanced linear algebra (from the point of view of an engineer). There's a lot of treasures in this book, but this book is NOT for beginning linear algebra. Rather, it is written as a handy reference to review and learn certain topics in linear algebra.
Nonetheless, I really like their take on linear algebra. They motivate you in every subject and problem (for example, the relations between eigenvectors, eigenvalues, and optimization problems). These insights are invaluable and definitely worth the admission price.
Together with Golub and Van Loan's "Matrix Computations", this is THE linear algebra book to get, although only if you're sufficiently initiated.
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12 of 14 people found the following review helpful
If you need to know anything about matrices - this is the book. It cover all the basic theory. Perfect for graduate-level courses. The book also has lots of material relevant to optimization theory and can be used in Operations Research courses. One of the nice features is a comprehensive index that makes the book a perfect reference source. Nicely written and easy to read.
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11 of 14 people found the following review helpful
Horn and Johnson's MATRIX ANALYSIS is simply a masterpiece. You can find each and every result in matrix analysis along with it's proof in this book. Look at their companion volume "Topics in Matrix Analysis" too. Some of these results cannot be found elsewhere.
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2 of 3 people found the following review helpful
5.0 out of 5 stars Great Book for Advanced Readers May 1, 2008
No matter what the blurb says this is a graduate level book. You cant teach yourself linear algebra using this book. Having said that this is a fantastic book for the initiated. Concise. Consistent. Well-written. A very helpful index. I refer to it regularly and it rarely disappoints. This is a must have. Absolutely 5 stars.
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5.0 out of 5 stars A brilliant guided tour October 20, 2012
By teclado
Format:Paperback|Verified Purchase
Just excellent. A lot of material, and a lot of problems that allow you verify that you are really understanding. Difficult to find another book dealing with many of the subjects present in this book.
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5.0 out of 5 stars Good Introductory text January 1, 2011
By STUDent
Format:Paperback|Verified Purchase
This book has a very good introductory material on matrices and related topics like eigenvalues, canonical forms and location of eigenvalues etc.. It starts from basics like definitions, types of matrices etc.. and goes on to touch some advanced topics as well. A very good text.
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5.0 out of 5 stars excellent reference December 6, 2010
This book is a fine reference for many of the important definitions and theorems in Matrix Theory . The exercises are often interesting and not too difficult. It might not be good for someone to use this book for an introduction to matrices. The reader should already know the basics as the presentation can be somewhat concise and require some mathematical sophistication. Many advanced topics and theorems make this book a great addition to any mathematician's or teacher's library.
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5.0 out of 5 stars Great book. February 21, 2010
By Narada
This is not an introduction to linear algebra, but, as the title suggests, a book on Matrix Analysis. The exposition is very clear, the coverage is very extensive and reasonably deep -- all in all this is a great reference and introduction to the subject. The other reviews which complain of a "dry and boring" style seem somewhat misguided. The book is clear, to the point, and introduces the material in a gradual and edifying manner. I would certainly use it for a high level undergraduate/introductory graduate course.
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