A multiplicative algorithm for Fermi models of macro-systems (Q1111943)

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scientific article; zbMATH DE number 4076983
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A multiplicative algorithm for Fermi models of macro-systems
scientific article; zbMATH DE number 4076983

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    A multiplicative algorithm for Fermi models of macro-systems (English)
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    1988
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    We consider a class of iterative multiplicative algorithms that can be used to find nonnegative solutions in conditional extremum problems characterizing the Fermi models of equilibrium states in macro-systems. We establish convergence conditions and estimate the rate of convergence of the fixed-step multiplicative algorithm. Cases are identified when the proposed algorithm converges faster than the fixed-step gradient algorithm. Results of numerical experiments are reported.
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    systems with stochastic and deterministic properties
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    generalized Fermi entropy
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    linear constraints
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    iterative multiplicative algorithms
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    nonnegative solutions
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    conditional extremum problems
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    Fermi models
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    macro-systems
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    rate of convergence
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