I'm trying to write a cubic spline interpolation program. I have written the program but, the graph is not coming out correctly. The spline uses natural boundary conditions(second dervative at start/end node are 0). I wrote a cubic spline package in Mathematica a long time ago. Here is my translation of that package into Matlab. Note I haven't looked at cubic splines in about 7 years, so I'm basing this off my own documentation. You should check everything I say.
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The basic problem is we are given n data points (x(1), y(1))., (x(n), y(n)) and we wish to calculate a piecewise cubic interpolant. The interpolant is defined as S(x) = { Sk(x) when x(k) >cubic_driver(5) >>clf >>cubic_driver(10) >>clf >>cubic_driver(20) By the time you have twenty nodes your interpolant is visually indistinguishable from the Runge function.
Some comments on the Matlab code: I don't use any for or while loops. I am able to vectorize all operations. I quickly form the sparse tridiagonal matrix with spdiags. I solve it using the backslash operator. I counting on Tim Davis's UMFPACK to handle the decomposition and forward and backward solves. Hope that helps.
Гдз По Рабочей Тетради Геометрии 8 Класс Глазков. The code is available as a gist on github.