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Topics in Matrix Analysis [Paperback]

Roger A. Horn , Charles R. Johnson
4.2 out of 5 stars  See all reviews (4 customer reviews)

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Book Description

June 24, 1994 0521467136 978-0521467131
Building on the foundations of its predecessor volume, Matrix Analysis, this book treats in detail several topics with important applications and of special mathematical interest in matrix theory not included in the previous text. These topics include the field of values, stable matrices and inertia, singular values, matrix equations and Kronecker products, Hadamard products, and matrices and functions. The authors assume a background in elementary linear algebra and knowledge of rudimentary analytical concepts. The book should be welcomed by graduate students and researchers in a variety of mathematical fields both as an advanced text and as a modern reference work.

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Editorial Reviews

Review

"The writing of this and the previous book Matrix Analysis by the same authors is a wonderful achievement both for the two authors and for the field of matrix theory....a landmark book." Frank Uhlig, Linear Algebra and Its Applications

"There is no doubt that this two volume work, Matrix Analysis and Topics in Matrix Analysis is an important and unique contribution to the contemporary book literature on matrix theory." Marvin Marcus, Bulletin of the American Mathematical Society

"I can recommend it without hesitation to both the producers and consumers of matrix theory." G.W. Stewart, SIAM Review

"There are three reasons why Horn and Johnson's new book Topics in Matrix Analysis and its predecessor Matrix Analysis are indispensable. First, the authors cover their topics in depth. Second, they cover nonstandard topics. Third, they organize their material in the style of a textbook. Compared to an encyclopedia, they are more selective and more detailed; compared to exhaustive treatises, they are less selective and less detailed. Horn and Johnson establish a middle ground where they come much more than half way in meeting the reader who wants to do something with linear algebra." Bulletin of the International Linear Algebra Society

Book Description

Building on the foundations of its predecessor volume, this book treats in detail several topics with important applications and of special mathematical interest in matrix theory not included in the previous text. A background in elementary linear algebra and knowledge of rudimentary analytical concepts is assumed.

Product Details

  • Paperback: 616 pages
  • Publisher: Cambridge University Press (June 24, 1994)
  • Language: English
  • ISBN-10: 0521467136
  • ISBN-13: 978-0521467131
  • Product Dimensions: 9.1 x 5.9 x 1.2 inches
  • Shipping Weight: 1.8 pounds (View shipping rates and policies)
  • Average Customer Review: 4.2 out of 5 stars  See all reviews (4 customer reviews)
  • Amazon Best Sellers Rank: #1,093,735 in Books (See Top 100 in Books)

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4.2 out of 5 stars
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4.2 out of 5 stars
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Most Helpful Customer Reviews
19 of 20 people found the following review helpful
5.0 out of 5 stars A great reference source for advanced matrix analysis August 27, 2000
Format:Paperback
Horn and Johnson's MATRIX ANALYSIS AND TOPICS IN MATRIX ANALYSIS are true classics (like Knuth's Art of Computer Programming). You will find classic theorems and lemmas in matrix theory and linear algebra here along with their proofs (some of these are not found elsewhere).
TOPICS IN MATRIX ANALYSIS contains a lot of stuff including LMI's, Kronecker and Hadamard products of matrices and their properties etc. I found this book indispensible when I was studying Semidefinite Programming.
Both these books are now available in paperback (cost around 30+) dollars each. I have recently purchased both copies and can only strongly recommend them to anyone else.
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1 of 1 people found the following review helpful
5.0 out of 5 stars This book is perfect for communication engineers June 1, 2008
Format:Paperback|Verified Purchase
If you are communication engineer and exploring the world of channel estimation, MIMO, etc. and you need to understand the mathematical approach, you need this book. The book covers the SVD issue, which is most important for many applications.
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1 of 1 people found the following review helpful
5.0 out of 5 stars Excellent for Matrix Analysis January 29, 2008
Format:Paperback
This book is an excellent reference for researchers in the fields of Matrix Analysis, Numerical Analysis, Theoretical Linear Algebra, etc. I am doing currently some research involving Matrix functions and generalizations of M-matrices and I use this book all the time. Some important features of this book include the facts that 1) it is well-written 2) It is clear 3) It very useful to researchers and graduate students. It is one of those books which you can't stop reading once you start.
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2.0 out of 5 stars Bad printing December 1, 2013
Format:Paperback|Verified Purchase
My rating refers to the quality of the printing, which is not good. For example, it is often impossible to distinguish the symbols $\otimes$ and $\oplus$. This book has been printed after being transferred to digital format. I compared my copy with a slightly older printing from the library, and the difference is obvious. It is amazing that major publishers don't check the quality of their scannings. (I've also seen a book published by AMS with similar problems.)
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