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Construction and convergence analysis of iterative methods for variational problems with a nondifferentiable functional - MaRDI portal

Construction and convergence analysis of iterative methods for variational problems with a nondifferentiable functional (Q1873462)

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scientific article; zbMATH DE number 1916126
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English
Construction and convergence analysis of iterative methods for variational problems with a nondifferentiable functional
scientific article; zbMATH DE number 1916126

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    Construction and convergence analysis of iterative methods for variational problems with a nondifferentiable functional (English)
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    25 May 2003
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    The problem of minimization of a functional that can be expressed as the sum of a convex quadratic and a convex continuous function is considered. The authors reduce the problem into finding a saddle point of an appropriate extended (augmented) Lagrange function and suggest an iterative method for solving the latter. An application to variational inequalities is given.
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    Iterative methods
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    Lagrange function
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    saddle point
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    variational inequalities
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    nondifferentiable functional
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