- Table View
- List View
Totally nonnegative matrices arise in a remarkable variety of mathematical applications. This book is a comprehensive and self-contained study of the essential theory of totally nonnegative matrices, defined by the nonnegativity of all subdeterminants. It explores methodological background, historical highlights of key ideas, and specialized topics.The book uses classical and ad hoc tools, but a unifying theme is the elementary bidiagonal factorization, which has emerged as the single most important tool for this particular class of matrices. Recent work has shown that bidiagonal factorizations may be viewed in a succinct combinatorial way, leading to many deep insights. Despite slow development, bidiagonal factorizations, along with determinants, now provide the dominant methodology for understanding total nonnegativity. The remainder of the book treats important topics, such as recognition of totally nonnegative or totally positive matrices, variation diminution, spectral properties, determinantal inequalities, Hadamard products, and completion problems associated with totally nonnegative or totally positive matrices. The book also contains sample applications, an up-to-date bibliography, a glossary of all symbols used, an index, and related references.
Select your format based upon: 1) how you want to read your book, and 2) compatibility with your reading tool. To learn more about using Bookshare with your device, visit the "Using Bookshare" page in the Help Center.
Here is an overview of the specialized formats that Bookshare offers its members with links that go to the Help Center for more information.
- Bookshare Web Reader - a customized reading tool for Bookshare members offering all the features of DAISY with a single click of the "Read Now" link.
- DAISY (Digital Accessible Information System) - a digital book file format. DAISY books from Bookshare are DAISY 3.0 text files that work with just about every type of access technology that reads text. Books that contain images will have the download option of ‘DAISY Text with Images’.
- BRF (Braille Refreshable Format) - digital Braille for use with refreshable Braille devices and Braille embossers.
- MP3 (Mpeg audio layer 3) - Provides audio only with no text. These books are created with a text-to-speech engine and spoken by Kendra, a high quality synthetic voice from Ivona. Any device that supports MP3 playback is compatible.
- DAISY Audio - Similar to the Daisy 3.0 option above; however, this option uses MP3 files created with our text-to-speech engine that utilizes Ivona's Kendra voice. This format will work with Daisy Audio compatible players such as Victor Reader Stream and Read2Go.