A short note on the weighted sub-partition mean of integers

Authors:
Peter Szabó
Affiliations:
Technical University of Košice, Department of Aerodynamics and Simulations, Rampová 7, 040 21 Košice, Slovak Republic
Venue:
Operations Research Letters
Year:
2009

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Abstract

In this note we study weighted sub-partitions (i"1,...,i"l) of positive integers on a number n with the greatest sub-partition mean @?"k"="1^lw(i"k)/l, where w:{1,...,n}-R^+ is a weight function. We show that this problem is closely related with the problem of computing the eigenvalue of a Toeplitz matrix in a specific form.