The conditioning of Toeplitz band matrices |
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| Institution: | Dipartimento di Matematica, Università di Bari Via Orabona 4, 70125 Bari, Italy;Dipartimento di Energetica, Università di Firenze Via Lombroso 6/17, 50134 Firenze, Italy |
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| Abstract: | In this paper, practical conditions to check the well-conditioning of a family of nonsingular Toeplitz band matrices are obtained. All the results are based on the location of the zeros of a polynomial associated with the given family of Toeplitz matrices.The same analysis is also used to derive uniform componentwise bounds for the entries of the inverse matrices in such family. |
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