1 comments about Completely Positive Matrices.

1. It is an interesting domain in mathematics that it is yet unexplored. The book is very complete, although small in size. This is because there is not that much in that field. I found it useful when I was writing a paper in Non Negative Matrix Factorization. It would be a breakthrough if people could find an algorithm of Completely positive factorization

No comments about The Structural Representation of Proximity Matrices With Matlab (ASA-SIAM Series on Statistics and Applied Probability).

No comments about Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach (Courant Lecture Notes) (Courant Lecture Notes).

No comments about Information Theory And The Central Limit Theorem.

3 comments about The Theory of Matrices, Second Edition: With Applications (Computer Science and Scientific Computing) (Computer Science and Scientific Computing).

1. As a graduate student, I had this book for a graduate course in Matrix Theory, taught by Dr. Hans Schneider at the University of Wisconsin-Madison. I've always liked it. Now that I'm planning my own course in Matrix Theory, I've been searching for just the right book for the type of course I want, which is an intro graduate level course for working engineers. I have tried, but cannot find, and don't really need, anything other than this book.



2. I would rather recomment Horn and Johnson's Matrix Analysis,
   since their book is much better.



3. What I consider "The Great general books on Linear Algebra" (this book, the Horn/Johnson ones, and the "evergreen" Gantmacher) each have a different point of view on this subject. I learned my first advanced Matrix theory on this book, and the "space transformation" oriented approach here displayed is essential for geometry oriented minds. (yes...unfortunately this book is still a bit expensive... )

No comments about Positive Definite Matrices (Princeton Series in Applied Mathematics).

No comments about A Combinatorial Approach to Matrix Theory and Its Applications (Discrete Mathematics and Its Applications).

No comments about Matrix Algebra: Theory, Computations, and Applications in Statistics (Springer Texts in Statistics).

3 comments about Matrix Mathematics: Theory, Facts, and Formulas with Application to Linear Systems Theory.

1. Sometimes it is very difficult to find out a matrix theorem that is used in a technical publication.
   
   I have books by Gantmacher, Horn, Meyer (undergraduate), Kunze and Hoffman and Jan Magnus but if you NEED to quickly find a result, open this book. Thousands of matrix theorems and facts.
   
   Very good reference.



2. 
   I found this to be an extremely useful book. Its internal organization, extensive index and tables of symbols make it very easy to find exactly the result you need.
   
   I strongly recommend this book to people working in applied mathematics or engineering.



3. This book will become a classic... Like other reviewers, I have copies of many of the important works on matrix theory, but, for example- Needed a result on simultaneous diagonalization. Where to find it? In "Introduction to Statistical Pattern Recognition", Fukunaga, or do it from scratch, or... in this text, along with pretty much every other result that I could want. So, I'm buying a copy both for its completeness and organization. It'll be the first stop every time I'm scratching my head over a matrix algebra problem. Thanks to Bernstein for making my life a bit easier.

1 comments about Matrix Groups for Undergraduates (Student Mathematical Library,) (Student Mathematical Library).

1. This book is a great introduction to matrix groups and related ideas. The author explains the basic ideas in a clear, concise, and precise way. Although there are many excellent texts on matrix groups and more abstract properties of groups, this book provides the most accessible introduction to the subject that I have found. The book is short and easy to read through, compact, and economically priced. I strongly recommend reading this book before attempting to delve into more advanced texts.
   
   The clear and unified treatment of the real, complex, and quaternion groups is *very* nice. Overall, the writing style is so lucid, it is the kind of book where you feel that the writer is teaching you personally, rather than lecturing to an empty hall.
   
   Because the book provides such an excellent introduction to the subject, I give it the full 5 stars. The book has a few typos and gaps, but most are pretty obvious. I hope that the author will expand on this book in a future edition, perhaps including a chapter on basic group theory. When you finish reading the book, your only complaint will be that it isn't longer! Given the excellent exposition, I will be on the lookout for any future texts from this author.