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An algorithm for Hermite-Birkhoff interpolation
Applications of Mathematics, Tome 18 (1973) no. 3, pp. 167-175 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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An algorithm for the Hermite-Birkhoff interpolation is presented, which reduces the problem to the Hermite interpolation. The missing values and derivatives are expressed by some of the given values and calculated from a system of linear equations. The system itself and its right-hand sides are computed from a set of Hermite interpolation problems. The needed values and derivatives of the Hermite interpolation polynomial can be computed using the algorithm given in the Appendix.
An algorithm for the Hermite-Birkhoff interpolation is presented, which reduces the problem to the Hermite interpolation. The missing values and derivatives are expressed by some of the given values and calculated from a system of linear equations. The system itself and its right-hand sides are computed from a set of Hermite interpolation problems. The needed values and derivatives of the Hermite interpolation polynomial can be computed using the algorithm given in the Appendix.
DOI : 10.21136/AM.1973.103467
Classification : 65D05 
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Fiala, Jiří. An algorithm for Hermite-Birkhoff interpolation. Applications of Mathematics, Tome 18 (1973) no. 3, pp. 167-175. doi: 10.21136/AM.1973.103467

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