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- Charles S. Duris
- ACM '68
- 1968

The problem under consideration here is to solve the system of linear equations <italic>Ax&equil;b</italic> in the sense of Chebyshev. The matrix <italic>A</italic> is <italic>m×n</italic> with rank <italic>n</italic> and <italic>n</italic>+1≤ <italic>m</italic>. Define

- Charles S. Duris
- ACM Trans. Math. Softw.
- 1980

Two For t r an subrout ines, D C S I N T and DCSSMO, are presented here for discrete cubic spline in terpolat ion and smoothing. T h e theory for discrete cubic spline interpolat ion is given by Lyche in [5, 6]. T h e theory for discrete natura l cubic spline smooth ing is given by the au thor in [2]. For mos t appl icat ions cont inuous splines (see [3, 4,… (More)

- Charles S. Duris
- ACM Trans. Math. Softw.
- 1976

The construction of product-type Newton-Cotes quadrature rules using a generating function approach is described. An explanation of the (q, r) copy or compounding of product-type interpolatory quadrature rules is given. An error bound is presented for the (q, r) copy of product-type Newton-Cotes rules, and this bound is compared with the actual error in a… (More)

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