Numerical Radius of Products of Special Matrices
Mohammad Alakhrass
TL;DR
This paper provides new upper bound estimates for the numerical radius of products and Hadamard products of special matrices like sectorial and accretive-dissipative matrices, enhancing understanding of their spectral properties.
Contribution
It introduces novel upper bounds for the numerical radius of specific matrix products, focusing on sectorial and accretive-dissipative matrices, which were not previously detailed.
Findings
Derived upper bounds for numerical radius of matrix products
Extended bounds to Hadamard products of special matrices
Improved spectral radius estimations for sectorial and accretive-dissipative matrices
Abstract
The purpose of this note is to present upper bounds estimations for the numerical radius of a products and Hadamard products of special matrices, including sectorial and accretive-dissipative matrices.
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Taxonomy
TopicsMatrix Theory and Algorithms · graph theory and CDMA systems · Advanced Mathematical Theories and Applications