An improvement and generalization of Rotfel'd type inequalities for sectorial matrices
Nan Fanghong, Teng Zhang
TL;DR
This paper enhances and broadens Rotfel'd type inequalities for sectorial matrices by leveraging recent equivalence conditions, leading to improved bounds and generalized results in matrix analysis.
Contribution
It introduces improved inequalities for sectorial matrices and generalizes recent findings, advancing the theoretical understanding of matrix inequalities.
Findings
Enhanced Rotfel'd type inequalities for sectorial matrices
Generalized previous results to broader matrix classes
Provided new equivalence conditions for sectorial matrices
Abstract
Byusing equivalence conditions for sectorial matrices obtained by Alakhrass and Sababheh in 2020, we improve a Rotfel'd type inequality for sectorial matrices derived by P. Zhang in 2015 and generalize a result derived by Y. Mao et al. in 2024.
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Taxonomy
TopicsMathematical Inequalities and Applications · Matrix Theory and Algorithms · graph theory and CDMA systems