Written for advanced undergraduate students, this highly regarded book presents an enormous amount of information in a concise and accessible format. Beginning with the assumption that the reader has never seen a matrix before, the authors go on to provide a survey of a substantial part of the field, including many areas of modern research interest.
Part One of the book covers not only the standard ideas of matrix theory, but ones, as the authors state, "that reflect our own prejudices," among them Kronecker products, compound and induced matrices, quadratic relations, permanents, incidence matrices and generalizations of commutativity.
Part Two begins with a survey of elementary properties of convex sets and polyhedra and presents a proof of the Birkhoff theorem on doubly stochastic matrices. This is followed by a discussion of the properties of convex functions and a list of classical inequalities. This material is then combined to yield many of the interesting matrix inequalities of Weyl, Fan, Kantorovich and others. The treatment is along the lines developed by these authors and their successors and many of their proofs are included. This chapter contains an account of the classical Perron Frobenius-Wielandt theory of indecomposable nonnegative matrices and ends with some important results on stochastic matrices.
Part Three is concerned with 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. The presentation is essentially in historical order, and out of the vast number of results in this field the authors have culled those that seemed most interesting or useful. Readers will find many of the proofs of classical theorems and a substantial number of proofs of results in contemporary research literature.

"About this title" may belong to another edition of this title.

Store Description

SuperBookDeals.com is your top source for finding new books at the absolute lowest prices, guaranteed ! We offer big discounts - everyday - on millions of titles in virtually any category, from Architecture to Zoology -- and everything in between. Discover great deals and super-savings, on professional books, text book titles, the newest computer guides, or your favorite fiction authors. You'll find it all - at HUGE SAVINGS - at SuperBookDeals. Browse through our complete online product catalog today. Serving customers around the world for years, we help thousands find just the books they're looking for -- at incredibly low, bargain prices.

Visit Seller's Storefront

Seller's business information

Expert Trading Limited
9220 Rumsey Road, Suite 101, Columbia, MD, 21045, U.S.A.

Sale & Shipping Terms

Terms of Sale

Company Name: GreatBookPrices
Legal Entity: Expert Trading, LLC
Address: 9220 Rumsey Road, Ste 101, Columbia MD 21046
Email address: CustomerService@SuperBookDeals.com
Phone number: 410-964-0026
consumer complaints can be addressed to address above
Registration #: 52-1713923
Authorized representative: Danielle Hainsey

Shipping Terms

Internal processing of your order will take about 1-2 business days. Please allow an additional 4-14 business days for Media Mail delivery. We have multiple ship-from locations - MD,IL,NJ,UK,IN,NV,TN & GA

Shipping rates within U.S.A.

Shipping rates within U.S.A.
Order quantity	8 to 14 business days	5 to 14 business days
First item	US$ 2.64	US$ 2.64

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.