Hadamard powers of rank two, doubly nonnegative matrices

Authors

Tanvi Jain, Indian Statistical Institute (Delhi Centre)

Article Type

Research Article

Publication Title

Advances in Operator Theory

Abstract

We study ranks of the rth Hadamard powers of doubly nonnegative matrices and show that the matrix A∘r is positive definite for every n× n doubly nonnegative matrix A and for every r> n- 2 if and only if no column of A is a scalar multiple of any other column of A. A particular emphasis is given to the study of rank, positivity and monotonicity of Hadamard powers of rank two, positive semidefinite matrices that have all entries positive.

First Page

839

Last Page

849

DOI

10.1007/s43036-020-00066-6

Publication Date

7-1-2020

Comments

Open Access, Green

Recommended Citation

Jain, Tanvi, "Hadamard powers of rank two, doubly nonnegative matrices" (2020). Journal Articles. 220.
https://digitalcommons.isical.ac.in/journal-articles/220