Algebraic analysis of the Van Cittert iterative method of deconvolution with a general relaxation factor

作者: Chengqi Xu , Idriss Aissaoui , Serge Jacquey

DOI: 10.1364/JOSAA.11.002804

关键词: Nonlinear systemAlgebraic analysisAlgebraic numberIterative methodEigenvalues and eigenvectorsMathematicsOpticsApplied mathematicsConvergence (routing)DeconvolutionVariable (mathematics)

摘要: The convergence of Van Cittert’s iterative method deconvolution is studied from an algebraic point view without any special prior condition with respect to the system matrix. criteria are expressed in terms eigenvalues. We choose bounds for general relaxation coefficient μ additional term so as ensure convergence. show that can be estimated Many powerful nonlinear techniques derived method, even though it appears outmoded. As example, we demonstrate Gold’s algorithm a variable factor

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