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Totally Nonnegative Matrices by Charles R. Johnson, Shaun M. Fallat

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Chapter

Introduction

The central theme in this book is to investigate and explore various properties of the class of totally nonnegative matrices.

At first it may appear that the notion of total positivity is artificial; however, this class of matrices arises in a variety of important applications. For example, totally positive (or nonnegative) matrices arise in statistics (see [GM96, Goo86, Hei94]), mathematical biology (see [GM96]), combinatorics (see [BFZ96, Bre95, Gar96, Pen98]), dynamics (see [GK02]), approximation theory (see [GM96, Pri68, CP94B]), operator theory (see [Sob75]), and geometry (see [Stu88]). Historically, the theory of totally ...

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