International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3300 2020 2020 Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan Shatha Shatha Department of Applied Science, Ajloun College, Al-Balqa Applied University, Ajloun 26816, Jordan; Jadara University Research Center, Jadara University, Jordan Shatha Hasan In this paper, we prove new spectral radius inequalities for sums, differences and commutators involving accretive-dissipative matrices of Hilbert space. Earlier well-known results used the spectral radius for its importance for general matrices. In our paper, we focus on some results related to spectral radius for special kind of matrices which are accretive-dissipative. A particular example is also presented in this work. 2025 2025 307 311 10.54216/IJNS.250327 https://www.americaspg.com/articleinfo/21/show/3300