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Totally Nonnegative Matrices$
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Shaun M. Fallat and Charles R. Johnson

Print publication date: 2011

Print ISBN-13: 9780691121574

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691121574.001.0001

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Other Related Topics on TN Matrices

Other Related Topics on TN Matrices

(p.205) Chapter Ten Other Related Topics on TN Matrices
Totally Nonnegative Matrices

Shaun M. Fallat

Charles R. Johnson

Princeton University Press

This chapter reviews a number of subtopics connected with TN matrices; including powers and roots of TN matrices, TP/TN polynomial matrices, subdirect sums of TN matrices, and Perron complements of TN matrices. Given that total positivity as well as TP matrices arise in many parts of mathematics and have a broad history, there have been many facts and properties about TP and TN matrices that neither fit well in another chapter nor are lengthy enough to constitute chapters in their own right. Yet, these topics are worthy of being mentioned and discussed. Hence the need for this final chapter, which represents a catalog of additional topics dealing with other aspects of TN matrices.

Keywords:   TN matrices, powers, roots, TP polynomial matrices, TN polynomial matrices, subdirect sums, Perron complements, direct summation

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