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Matrix Analysis, by Roger A. Horn, Charles R. Johnson
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Linear algebra and matrix theory are fundamental tools in mathematical and physical science, as well as fertile fields for research. This new edition of the acclaimed text presents results of both classic and recent matrix analysis using canonical forms as a unifying theme, and demonstrates their importance in a variety of applications. The authors have thoroughly revised, updated, and expanded on the first edition. The book opens with an extended summary of useful concepts and facts and includes numerous new topics and features, such as: - New sections on the singular value and CS decompositions - New applications of the Jordan canonical form - A new section on the Weyr canonical form - Expanded treatments of inverse problems and of block matrices - A central role for the Von Neumann trace theorem - A new appendix with a modern list of canonical forms for a pair of Hermitian matrices and for a symmetric-skew symmetric pair - Expanded index with more than 3,500 entries for easy reference - More than 1,100 problems and exercises, many with hints, to reinforce understanding and develop auxiliary themes such as finite-dimensional quantum systems, the compound and adjugate matrices, and the Loewner ellipsoid - A new appendix provides a collection of problem-solving hints.
- Sales Rank: #147835 in Books
- Brand: Brand: Cambridge University Press
- Published on: 2012-10-22
- Released on: 2012-12-20
- Original language: English
- Number of items: 1
- Dimensions: 9.96" h x 1.34" w x 6.97" l, 2.45 pounds
- Binding: Paperback
- 662 pages
- Used Book in Good Condition
Review
"The second edition of Matrix Analysis, as curated by Roger Horn and Charlie Johnson, is the definitive source and indispensable reference for the foundations of matrix analysis. The material is comprehensive yet thoughtfully collected, and presented with insightful exposition and crystal-clear organization. This book is for anyone who comes in contact with matrices, be it applied scientist, casual user, or experienced researcher."
Ilse Ipsen, North Carolina State University
"The second edition of Matrix Analysis by Horn and Johnson is a significant enhancement (featuring a large number of recent research results, new and illuminating approaches, a comprehensive summary of basic linear algebra and matrix theory, hints on some problems, and a highly detailed index) of the hugely successful and widely used first edition. It is a monumental contribution on the theory and applications of matrices. I had the honor of using some chapters of the draft of the second edition in my Advanced Matrix Analysis class at Georgia State University. I am certain that the second edition of Matrix Analysis will be the standard graduate textbook and an indispensable reference book on matrix theory for many years to come."
Zhongshan Li, Georgia State University
"The book is well organized, completely readable, and very enlightening. For researchers in matrix analysis, matrix computations, applied linear algebra, or computational science, this second edition is a valuable book."
Jesse L. Barlow, Computing Reviews
"The book is a valuable modern textbook devoted to the fundamentals of this active area of research, having many applications in mathematics and other disciplines. The book is clearly and carefully edited. The book is useful for graduate students, researchers and any person who loves matrix analysis."
Mohammad Sal Moslehian, Mathematical Reviews
"With the additional material and exceedingly clear exposition, this book will remain the go-to book for graduate students and researchers alike in the area of linear algebra and matrix theory. I suspect there are few readers who will go through this book and not learn many new things. It is an invaluable reference for anyone working in this area."
Anne Greenbaum, SIAM Review
"The new edition is clearly a must-have for anyone seriously interested in matrix analysis."
Nick Higham, Applied Mathematics, Software and Workflow blog
About the Author
Roger A. Horn is a Research Professor in the Department of Mathematics at the University of Utah. He is co-author of Topics in Matrix Analysis (Cambridge University Press, 1994).
Charles R. Johnson is a Professor in the Department of Mathematics at the College of William and Mary. He is co-author of Topics in Matrix Analysis (Cambridge University Press, 1994).
Most helpful customer reviews
8 of 8 people found the following review helpful.
Decent book with horrible format
By Randall Reese
I think that while this book has great concepts and exercises in it, the format that these are presented is a bit bulksome and very difficult to read. His method of numbering is horrible. He has exercises (unnumbered), problems (numbered), theorems (numbered) and statements (numbered in a different format than the theorems). Finding anything in the book is a nightmare. Referring to a concept in the book usually requires something like "Go to the 45th page and then find the 3rd exercise from the bottom (exercises have no number remember). There is a line above that with the statement that you need." The whole book could use a major format overhaul. Then it would be a 5 star book.
1 of 1 people found the following review helpful.
Kindle edition review... great material but many printing mistakes in the kindle edition
By kaneda
I'd give this 5 stars if all the printing mistakes were eliminated (things like missing square root signs). I guess they're still trying to get the kinks out of the kindle electronic format. I assume these problems are not there in the regular printed edition, but I don't know.
The material itself is great... very thorough. Perfect for some who has taken an introductory linear algebra course already. Plenty of exercises.
0 of 0 people found the following review helpful.
This book explained a lot of myth intrinsically using linear ...
By Xiyu Xie
This book explained a lot of myth intrinsically using linear algebra really clearly, but sound really complicated when reading literature in the applied fields.
But, I don't know whether it is the nature of the subjects or a lack of organization, you need to go back and forth through all the book several times to the really understand the subject and what the excises are looking for.
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