On the Monotonicity of the Number of Positive Entries in Nonnegative Four Element Matrix Powers

Authors

  • Cole Rubin Brower San Diego State University
  • Vadim Ponomarenko San Diego State University

DOI:

https://doi.org/10.46787/pump.v3i0.2233

Keywords:

nonnegative matrix; power; monotonicity

Abstract

Let A be a nonnegative square matrix of order m and let F(A) denote the number of positive entries in A. We consider conditions on A to make the sequence {F(An)}n≥1 monotone. This is known for F(A) ≤ 3 and F(A) ≥ m2-2m+2; we extend this to F(A)=4.

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Published

2020-02-18

How to Cite

Brower, C. R., & Ponomarenko, V. (2020). On the Monotonicity of the Number of Positive Entries in Nonnegative Four Element Matrix Powers. The PUMP Journal of Undergraduate Research, 3, 26–36. https://doi.org/10.46787/pump.v3i0.2233

Issue

Vol. 3 (2020): PUMP Journal of Undergraduate Research

Section

Articles

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