Matrix Analysis (Paperback)

by Roger A. Horn (Author), Charles R. Johnson (Author) "The purpose of this chapter is to catalog briefly, without proof, a number of useful concepts and facts, many of which implicity or explicity underlie..." (more)
Key Phrases: compatible vector norm, upper triangularizability, given matrix norm, Further Readings, Linear Algebra Appl, Von Neumann (more...)

Editorial Reviews

Review
"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

Product Description
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.

See all Editorial Reviews

Product Details

• Paperback: 575 pages
• Publisher: Cambridge University Press (February 23, 1990)
• Language: English
• ISBN-10: 0521386322
• ISBN-13: 978-0521386326
• Product Dimensions: 9.2 x 6.1 x 1 inches
• Shipping Weight: 1.2 pounds (View shipping rates and policies)
• Average Customer Review: 4.3 out of 5 stars See all reviews (10 customer reviews)
• Amazon.com Sales Rank: #31,458 in Books (See Bestsellers in Books)

  Popular in these categories: (What's this?)

  #1 in	Books > Science > Mathematics > Matrices
  #4 in	Books > Science > Mathematics > Pure Mathematics > Algebra > Linear
  #4 in	Books > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Algebra > Linear

Customer Reviews

Most Helpful Customer Reviews

27 of 28 people found the following review helpful:

5.0 out of 5 stars Excellent book.... for the initiated, July 8, 2000

By	Julius Kusuma (Cambridge, MA, USA) - See all my reviews (REAL NAME)

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.

10 of 12 people found the following review helpful:

5.0 out of 5 stars The most comprehensive and up-to-date reference/textbook., March 29, 2000

By	Serguei Netessine (Wynnewood, PA United States) - See all my reviews (REAL NAME)

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.

9 of 12 people found the following review helpful:

5.0 out of 5 stars An encyclopedic reference for matrix analysis and linear alg, August 27, 2000

By	KARTIK KRISHNAN S. (Hamilton, Ontario Canada) - See all my reviews

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.