(Enter summary)
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" }
Citations (may not include all citations):
624
Algebraic eigenvalue problems (context) - Wilkinson - 1970
13
the continuous realization of iterative processes (context) - Chu - 1988
11
partial derivatives and estimates of rounding errors | compl.. (context) - Iri, of - 1984
6
Introduction to optimization (context) - Poljak - 1983 ACM
5
Nonlinear functional equations and continuous analogues of t.. (context) - Gavurin - 1958
2
NAUKOVA DUMKA Publishers (context) - Ivanov - 1986
2
the properties of the optimal methods for solving of the pro.. (context) - Bakhvalov - 1970
2
Methods of solving the singular problems (context) - Belash, Tret'jakov - 1988
2
On solving of Volterra's integral equations with pre-assigne.. (context) - Ivanov, Tvalodze et al. - 1989
1
The Newton's method with step regulation for singular proble.. (context) - Danilin - 1981
1
An approximate-iterative method for approach of the solution.. (context) - Dzyadik - 1986
1
The gradient methods for minimization of functionals (context) - Poljak - 1963
1
The barrier-projective methods of solving the problems of no.. (context) - Evtushenko, Zhadan - 1994
1
Numerical methods: Analysis (context) - Bakhvalov - 1977
1
A class of methods for unconstrained minimization based on s.. (context) - Botsaris - 1978
1
Iterative algorithms for singular minimization problems (context) - Poljak - 1981
1
Numerical methods of solving the extremal problems (context) - Vasil'ev - 1988
1
ective methods for unconstrained optimization based on the s.. (context) - Brown, Bartholomew-Biggs - 1989
1
Estimates of the total absolute error of a numerical solutio..
- Sh, Ivanov et al. - 1997
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