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We present a technique for entropy optimization to calculate a distributionfrom its moments. The technique is based upon maximizing a discretized form ofthe Shannon entropy functional by mapping the problem onto a dual space wherean optimal solution can be constructed iteratively. We demonstrate theperformance and stability of our algorithm with several tests on numericallydifficult functions. We then consider an electronic structure application, theelectronic density of states of amorphous silica and study the convergence ofFermi level with increasing number of moments.Comment: 4 pages including 3 figure

Maximum entropy and the problem of moments: A stable algorithm