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- W2024010377 abstract "In this paper, we consider whose invereses are tridiagonal Z-matrices Based on a characterization of symmetric tridiagonal matirices by Gantmacher and Kein, we show that a matrix is the inverse of a tridiagonal Z-matrix if and only if up to a positive scaling of the rows,it is the Hadamard product of a so called weak type D matrix and a flipped weak type D matrix whose parameters satisfy certiain quadratic conditions we predict from these parameters to which class of Z-matices the inverse belings to In particular, we give a characterization of inverse tridiagonal M-matrices Moreover ,we charactetrize inverese of diagonal M-matrices that saftisfy certain row sum ceriteria. This leads to the cyclopses that are matrices constructed from type D and flipped type D matrices .we establish some properties of the cyclopses and provide explicit formulae for the entries of the inverse of a nonsingular cyclopses. we also shoe that the cyclopses are the only generalized ultrametric matrices whose inverses are tridiagonal" @default.
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- W2024010377 date "1998-11-01" @default.
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- W2024010377 title "Inverse tridiagonalZ-Martices∗" @default.
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- W2024010377 doi "https://doi.org/10.1080/03081089808818578" @default.
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