Abstract
Two properties of conjugate Toeplitz matrices are given: (1) an expression for the elements inside the inverse matrix of an r-Toeplitz and of a conjugate Toeplitz matrix is obtained in a direct way from elementary results about arbitrary partitioned matrices; (2) the necessary conditions to apply the generalized Trench algorithm for conjugate Toeplitz matrices are discussed. It is shown that there exist strongly invertible conjugate Toeplitz matrices to which the algorithm may not be applied.
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