Powers of complex persymmetric antitridiagonal matrices with constant antidiagonals (Q2256904)

Summary: We derive a general expression for the \(p\)th power (\(p \in \mathbb N\)) of any complex persymmetric antitridiagonal Hankel (constant antidiagonals) matrices. Numerical examples are presented, which show that our results generalize the results in the related literature ([\textit{J. Rimas}, Appl. Math. Comput. 203, No. 2, 573--581 (2008; Zbl 1154.65026)], [\textit{H. Wu}, Appl. Math. Comput. 217, No. 6, 2750--2756 (2010; Zbl 1202.65045)] and [\textit{J. Rimas}, Appl. Math. Comput. 210, No. 1, 64--71 (2009; Zbl 1162.65336)]).