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An EM-based iterative method for solving large sparse linear systems
Abstract:ABSTRACT

We propose a novel iterative algorithm for solving a large sparse linear system. The method is based on the EM algorithm. If the system has a unique solution, the algorithm guarantees convergence with a geometric rate. Otherwise, convergence to a minimal Kullback–Leibler divergence point is guaranteed. The algorithm is easy to code and competitive with other iterative algorithms.
Keywords:EM algorithm  indefinite matrix  iterative method  Kullback–Leibler divergence  sparse linear system
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