Core-EP Monotonicity Characterizations for Property-n Matrices
Abstract
:1. Introduction
- (i)
- ;
- (ii)
- ;
- (iii)
- .
- (i)
- is nonnegative.
- (ii)
- There exists a permutation matrix P such that has the form
- (iii)
- for some diagonal matrix D with positive diagonal elements.
2. Drazin Monotonicity versus Core-EP Monotonicity
- (i)
- .
- (ii)
- .
- (iii)
- .
3. Core-EP Monotonicity Characterizations for Property-n Matrices
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
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Zhong, J.; Lin, L. Core-EP Monotonicity Characterizations for Property-n Matrices. Mathematics 2023, 11, 2531. https://doi.org/10.3390/math11112531
Zhong J, Lin L. Core-EP Monotonicity Characterizations for Property-n Matrices. Mathematics. 2023; 11(11):2531. https://doi.org/10.3390/math11112531
Chicago/Turabian StyleZhong, Jin, and Lin Lin. 2023. "Core-EP Monotonicity Characterizations for Property-n Matrices" Mathematics 11, no. 11: 2531. https://doi.org/10.3390/math11112531