Algorithms 52-53. Determination of an interpolating quintic spline function with equally spaced and double knots
On generalized symmetric means and Stirling numbers of the second kind
Algorithm 31. The calculation of the minimum of a certain function of several variables
Algorithms 70-71. Determination of a quadratic spline function with given values of the integrals in subintervals
On the calculation of elliptic integrals of the second and third kinds
Algorithm 30. The calculation of the minimum of a certain function of one variable
Algorithm 1. Elliptic integrals of the second and third kinds
Projections in uniform polynomial approximations
Optimal quadratures for a certain class of analytic functions
Algorithm 46. Determination of an interpolating quadratic spline function
On the inversion of certain band matrices
Inversion of band matrices is the simplest, direct way of computing interpolating splines. On the other hand, when studying the convergence problems, the bounds of related inverse matrices are useful. This paper contains algorithms of inversion, based on LR decomposition, of tri- and five-diagonal matrices appearing in spline fitting problems. (In this case LR decomposition is possible and unique if one of the diagonals is fixed.) For example, inversion of a tri-diagonal matrix of dimension n requires...
The inversion of cyclic tridiagonal matrices
On the Schwab-Borchardt mean.
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