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The first aim of this work is to give necessary and sufficient conditions on the existence of aMarkov moment problem in the first quadrant in terms of quadratic forms. This allows establishing theconstraints for the related optimization problems. The second part of the paper contains evaluationsrelated to the p-root of a positive selfadjoint operator, p>1. The basic tools for this part arethe contraction principle and a variant of Newton’s method for convex operators. Some related boundsinvolving norms of operators are deduced.
How to Cite this Article:
Octav Oteanu, Optimization related to the Markov moment probem and bounds concerning newton’s method for operators, Communications in Optimization Theory 2014 (2014), Article ID 2.