Inversion of conjugate-Toeplitz matrices and conjugate-Hankel matrices
Zhaolin Jiang, Tin-Yau Tam, Yanfeng Wang · Linear and Multilinear Algebra · 2016
The inverses of conjugate-Toeplitz (CT) and conjugate-Hankel (CH) matrices can be expressed by the Gohberg–Heinig type formula. We obtain an explicit inverse formula of CT matrix. Similarly, the formula and the decomposition of the inverse of a CH matrix are provided. Also the stability of the inverse formulas of CT and CH matrices are discussed. Examples are provided to verify the feasibility of the algorithms.