Customer Reviews

Topics in Matrix Analysis

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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.

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.

This book is a sequel to, and a worthy successor of, "Matrix Analysis". The latter was directed mostly at methods applicable to solving generic matrix problems. Whereas the present book takes a more focused view. Its topics should be understood as more specialised. Like the case where a matrix might be upper triangular and in positive or non-negative definite form. Or where certain assumptions might be made about a matrix's eigenvalues.

There are some nice theorems proved about the spectral properties of various types of matrices. More to the point, the book has many useful ways to actually find the eigenvalues of such matrices. Where these methods might be more efficient than the generic methods of the earlier book.