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Numerical Solution Of Some Singular Unconstrained Minimization Problems  (Make Corrections)  
Abram Zhuzhunashvili And Yuri Tvalodze



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Abstract: . Numerical solution of a singular unconstrained minimization problem is divided into two steps. Firstly, we consider a continuous analogue of the steepest gradient descent, which leads to a system of Volterra integral equations, and obtain convergence rate estimates. Secondly, the system is solved by an approximate-iterative method. An estimate of the total absolute error is given as a sum of the inherent error, the error of the numerical method, and the round-o error. The estimate enables... (Update)

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BibTeX entry:   (Update)

@techreport{ zhuzhunashvili99numerical,
    author = "Abram Zhuzhunashvili and Yuri Tvalodze",
    title = "Numerical solution of some singular unconstrained minimization problems",
    number = "UCD-CCM-145",
    year = "1999",
    url = "citeseer.ist.psu.edu/319446.html" }
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