An Iterative Method for the Solution of Eigenvalue Problems
نویسندگان
چکیده
where the values of the constants Ai, A2 and Pi, P2 are not simultaneously zero. Several methods have been proposed to determine the proper elements (i.e. eigenvalues and eigenfunctions) of Sturm-Liouville equations. Most of them have been reviewed by Kopal [1], but we shall examine one of them, the so called Rayleigh-Ritz method, in order to explain the main defect they have in common and to judge their general efficiency. This method was originally proposed by Ritz [2]. By transformations whose details will not be given here but which are described in many classical texts it leads to the solutions of equations of the form:
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