Marcus, Marvin
A Survey of Matrix Theory and Matrix Inequalities
- ISBN 13:
- 9780486671024
- author:
- Marcus, Marvin
- format:
- Paperback
- publisher:
- Dover Publications Inc.
- language:
- English
- Publication Year:
- 1992
- Pages:
- 192
- Dimensions:
- 20.8 x 13.5 x 1.3 cm
- Genre:
- Mathematics Textbook
- Condition:
- New
- Availability:
- Item usually sent within 7 working days
Description
A Survey of Matrix Theory and Matrix Inequalities by Marvin Marcus and Henryk Minc is a comprehensive textbook that presents a wide range of topics in matrix theory in a concise and accessible format. The book begins with a review of the fundamental ideas of matrix theory, including Kronecker products, compound and induced matrices, and quadratic relations. The authors then move on to discuss the properties of convex sets and polyhedra, and present a proof of the Birkhoff theorem on doubly stochastic matrices. They also explore the properties of convex functions and list classical inequalities, which are then combined to yield many of the interesting matrix inequalities of Weyl, Fan, Kantorovich, and others. The book covers a variety of results on the localization of the characteristic roots of a matrix in terms of simple functions of its entries or of entries of a related matrix, and presents these results in historical order. With its clear and detailed treatment, this book is an excellent resource for advanced undergraduate students and researchers in the field of mathematics.
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