Determinants and Inverses of Ppoeplitz and Ppankel matrices
Baishuai Zuo, Zhaolin Jiang, Deqian Fu · Special Matrices · 2018
Abstract In this paper, we consider two kinds of special matrices, which are called Ppoeplitz matrix and Ppankel matrix. The idea of matrix transformation is used to compute the determinants and inverses of the Ppoeplitz matrix and the Ppankel matrix. We develop efficient formulas for inverting the Ppoeplitz matrix and the Ppankel matrix. Specifically, for inverting the Ppoeplitz matrix and the Ppankel matrix using our proposed formulas, which only 11 entries need to be calculated when n is even, only 12 entries need to be calculated when n is odd. An example is given to illustrate the formulas.