http://worldcat.org/entity/work/id/1807571243

A Fortran Computer Program for Calculating the Linear Prolate Functions

The representation of band-limited and time-limited physical processes is greatly facilitated by the use of the linear prolate functions and eigenvalues. These functions possess the powerful property of orthogonality over both a finite interval and the infinite interval. A computer program called LINPRO has been developed to numerically evaluate in double-precision arithmetic the linear prolate functions and eigenvalues for a wide range of order and argument. The program is written in universal Fortran and should run on any computer that accepts this language. This report first describes the theory of the prolate spheroidal wave functions used in the construction of the linear prolate functions and eigenvalues. Next the principal features of the program LINPRO are discussed. Included are descriptions of the parameter input, allowable parameter ranges, required computer storage, computational procedure, accuracy of the results, computation time, and printed output. Finally a sample output and a computer listing of LINPRO are attached as Appendixes. (Author).

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