A METHOD FOR ORDERING FUNCTIONAL VALUES OF MONOTONIC FUNCTIONS DEFINED ON ORDERED N-TUPLES OF INTEGERS.
JOHNS HOPKINS UNIV LAUREL MD APPLIED PHYSICS LAB
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A general procedure is discussed for ordering the values of a function of ordered n-tuples of integers when the given function is increasing in each variable. Such functions and the need to order their values arise, for example, when differential eigenvalue problems are solved by separation of variables. In this case the ordered functional values are the ordered eigenvalues of the problem. There is little computation of values which are not used and, more important, the ordered sequence obtained is correct, i.e., the sequence always yields the values properly ordered. Author