A Survey of Matrix Theory and Matrix Inequalities | 
 enlarge | Authors: Marvin Marcus, Henryk Minc
Publisher: Dover Publications
Category: Book
List Price: $12.95
Buy New: $8.10
You Save: $4.85 (37%)
New (19) Used (9) from $6.45
Rating:  3 reviews
Sales Rank: 836339
Media: Paperback
Pages: 192
Number Of Items: 1
Shipping Weight (lbs): 0.3
Dimensions (in): 8.2 x 5.3 x 0.5
ISBN: 048667102X
Dewey Decimal Number: 512.9434
EAN: 9780486671024
Publication Date: April 21, 1992
Availability: Usually ships in 1-2 business days
Shipping: International shipping available
Condition: Brand New. Delivery is usually 5 - 8 working days from order, International is by Royal Mail Airmail
| |
| Similar Items:
|
| Editorial Reviews:
Product Description
Concise, masterly survey of a substantial part of modern matrix theory introduces broad range of ideas involving both matrix theory and matrix inequalities. Also, convexity and matrices, localization of characteristic roots, proofs of classical theorems and results in contemporary research literature, more. Undergraduate-level. 1969 edition. Bibliography.
|
| Customer Reviews:
 Excellent May 11, 2003
10 out of 10 found this review helpful
I have just read part I of the book (table of contents below), and I like it very much. So many information, on so few pages. Everything is threated in FULL generality, and proves are included for the main theorems. This book has also an excellent encyclopedia function, as it contains the main properties of anything that one can think of. Beware: I have some mathematical background, and if you fully want to appreciate this book you will need this. (don't buy this book if this would be your first confrontation with matrices). Table of contents: I Survey of matrix theory
1 Introductory concepts
2 Numbers associated with matrices
3 Linear equations and canonical forms
4 Special classes of matrices, commutativity
5 Congruence II Convexity and matrices
1 Convex sets
2 Convex functions
3 Classical Inequalities
4 Convex functions and matrix inequalities.
5 Nonnegative matrices III Localization of characteristic roots
1 Bounds for characteristic roots
2 Regions containing characteristic roots of a general matrix
3 Characterstic roots of a general matrix
4 The spread of a matrix
5 The field of values of a matrix
Excellent gem March 23, 2008
Uttar (Toulouse, France)
1 out of 1 found this review helpful
Each section starts with a set of necessary definitions. Then, theorems are stated without proof---therefore, the it can also be used as an exercise book. One can go to a section of interest and try to prove some of the theorems listed there.
 A classic compilation of results in this field. November 10, 1998
coetzee@scr.siemens.com (USA)
15 out of 16 found this review helpful
This book is not really a review of matrix theory; the focus is on inequalities, mainly for PD matrices, convex functions and eigenvalue problems. The book tries to present a general framework, a-la Hardy, but is not quite as successful. Nevertheless, if you need to find that elusive inequality that you saw in undergraduate, this book will likely contain it. This book should be on every mathematical researcher's shelf.
|
|
|
