Maximization for inner products under quasi-monotone constraints

Kenneth S. Berenhaut; John D. Foley; Dipankar Bandyopadhyay

Maximization for inner products under quasi-monotone constraints

Kenneth S. Berenhaut, John D. Foley, Dipankar Bandyopadhyay

Biostatistics

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Abstract

This paper studies optimization for inner products of real vectors assuming monotonicity properties for the entries in one of the vectors. Resulting inequalities have been useful recently in bounding reciprocals of power series with rapidly decaying coefficients and in proving that all symmetric Toeplitz matrices generated by monotone convex sequences have off-diagonal decay preserved through triangular decompositions. An example of an application of the theory to global optimization for inner products is also provided.

Original language	English (US)
Article number	158
Journal	Journal of Inequalities in Pure and Applied Mathematics
Volume	7
Issue number	5
State	Published - Dec 1 2006

Keywords

Discretization
Global optimization
Inner products
Monotonicity
Recurrence

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KW - Recurrence

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Maximization for inner products under quasi-monotone constraints

Abstract

Keywords

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