Recurrence Relations for Computing with Modified Divided Differences
نویسندگان
چکیده
منابع مشابه
Recurrence Relations For Computing With Modified Divided Differences
Abstract. Modified divided differences (MDD) provide a good way of representing a polynomial passing through points with unequally spaced abscissas. This note gives recurrence relations for computing coefficients in either the monomial or Chebyshev basis from the MDD coefficients, and for computing the MDD coefficients for either the differentiated or the integrated polynomial. The latter opera...
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From (7) and (9) it is clear that the only essential information contained in Ei is the set of values i\u and the index rt. Note further that in (8), the successive Ei are used with increasing I and it follows from (9) that it is necessary to know ri before using the r¡n. On the other hand, in (6), the E¡ are used in decreasing sequence of / but from (7) it is not necessary to know rt until aft...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1979
ISSN: 0025-5718
DOI: 10.2307/2006460