Eigenvalues of any parameter in the Schrodinger radial equation

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Abstract
The behaviour of the solution of the Schrodinger radial equation has been studied experimentally. From this study, a very simple and short computing program has been devised for computing the eigenvalues and eigenfunctions of the energy, and for computing the eigenvalues and eigenfunctions of any parameter that may exist in the potential expression. The number of iterations for reaching convergence to a precision of 9 significant figures is 6 (i.e. less than the previous program by a factor of 1/5). The total computing time is reduced by a factor of 1/20. This program is so short (about 20 statements) that presenting it, is easier than describing it. An example is given with sample data and test output. Linear extrapolation is used to find the trial values of each eigenvalue at each iteration. This method is found to be simpler, faster, and more accurate than other methods. By the use of this program it is possible to solve the 'inverse eigenvalue problem'.
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