@article{Alakhrass2025, 
author = {Mohammad Alakhrass},
title = {General numerical radius for products of sectorial matrices},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {7},
pages = {15358-15369},
keywords = {sectorial-matrices, accretive-matrices, dissipative-matrices, general numerical radius, Hadamard product},
url = {https://www.sciopen.com/article/10.3934/math.2025688},
doi = {10.3934/math.2025688},
abstract = {In this paper, we investigate the generalized numerical radius        ω    N  , associated with a matrix norm    N defined by        ω    N    (  X  )  =      sup          θ      ∈              R              N  (  Re  ⁡  (      e          i      θ        X  )  ). We focus on matrices whose numerical ranges are contained in sectors of the complex plane (sectorial matrices) and derive upper bounds for        ω    N    (  X  Y  ) and        ω    N    (  X  ∘  Y  ) for such matrices    X and    Y. Our results generalize and refine well-known numerical radius inequalities. Several known inequalities for    ω  (  X  ) are recovered as special cases.}
}