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

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Chapter One

Preliminary Results and Discussion

1.0 INTRODUCTION

Along with the elementary bidiagonal factorization, to be developed in the next chapter, rules for manipulating determinants and special determinantal identities constitute the most useful tools for understanding TN matrices. Some of this technology is simply from elementary linear algebra, but the less well-known identities are given here for reference. In addition, other useful background facts are entered into the record, and a few elementary and frequently used facts about TN matrices are presented. Most are stated without proof, but are accompanied by numerous references where ...

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