On the Monotonicity of the Number of Positive Entries in Nonnegative Four Element Matrix Powers
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.
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
Section
Articles
Copyright (c) 2020 Cole Rubin Brower, Vadim Ponomarenko
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
The author(s) will retain the copyright, but by submitting the article agree to grant permission to the PUMP Journal of Undergraduate Research to publish, distribute, and archive the article. The author(s) will acknowledge prior publication in the PUMP Journal of Undergraduate Research for all future uses of the article or parts of it.
