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On the stability of polynomial transformations between Taylor, Bernstein and Hermite forms

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Abstract

The stability of transformations between Taylor and Hermite and Bernstein and Hermite forms of the polynomials are investigated. The results are analogous to Farouki's concerning the stability of the transformation between Taylor and Bernstein form. An exact asymptotic is given for the condition numbers in thel 1 case.

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Communicated by G. Mühlbach

Research was partially supported by the Copernicus grant RECCAD 94-1068 and by the National Research Foundation of the Hungarian Academy of Sciences grant 16420.

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Hermann, T. On the stability of polynomial transformations between Taylor, Bernstein and Hermite forms. Numer Algor 13, 307–320 (1996). https://doi.org/10.1007/BF02207698

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  • DOI: https://doi.org/10.1007/BF02207698

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