Topics in Matrix Analysis by Roger A. Horn (PDF)

Description

Building on the foundations of its predecessor volume, Matrix Analysis, this book treats in detail several topics in matrix theory not included in the previous volume, but with important applications and of special mathematical interest. As with the previous volume, the authors assume a background knowledge of elementary linear algebra and rudimentary analytical concepts. Many examples and exercises of varying difficulty are included.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Very good.

⭐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.)

⭐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.

⭐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.

⭐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.

⭐There are fewer more authoritative source on matrix arithmetic and how to perform these calculations efficiently on computers. I work in communications and signal processing and this book is an essential reference to perform cutting edge research.

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