2021/05/18 by Losonczi, L.
#15A15 #15A42 #15B99 #65F40 #FOS: Mathematics #General Mathematics (math.GM)
paper · doi:10.48550/arxiv.2105.09774
In this paper we consider pentadiagonal (n+1)×(n+1) matrices with two subdiagonals and two superdiagonals at distances k and 2k from the main diagonal where 1≤ k<2k≤ n. We give an explicit formula for their determinants and also consider the Toeplitz and "imperfect" Toeplitz versions of such matrices. Imperfectness means that the first and last k elements of the main diagonal differ from the elements in the middle. Using the rearrangement due to Egerváry and Szász we also show how these determinants can be factorized.