Inversion of conjugate-Toeplitz matrices and conjugate-Hankel matrices |
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| Authors: | Zhaolin Jiang Tin-Yau Tam |
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| Affiliation: | 1. Department of Mathematics, Linyi University, Linyi, P.R. China.jzh1208@sina.com;3. Department of Mathematics and Statistics, Auburn University, Auburn, AL, USA. |
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| Abstract: | 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. |
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| Keywords: | Conjugate-Toeplitz matrices conjugate-Hankel matrices inversion stability |
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