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Variational Inequality and Algorithm in Hilbert Space

Author: YeMingLu
Tutor: HeYiRan
School: Sichuan Normal University
Course: Basic mathematics
Keywords: η- subdifferential Disturbance η- approximation algorithm Projection algorithm Supergradient Dilated ultra gradient algorithm
CLC: O178
Type: Master's thesis
Year: 2005
Downloads: 68
Quote: 0
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Abstract


This paper studies the Hilbert space algorithm for variational inequality problem in the first chapter , we study a class of generalized mixed quasi - variational inequalities in the use of η subdifferential and the approximate image of the inequalities gives a kind of perturbation algorithm and prove strong convergence of the algorithm . In the second chapter, in a limited dimensional Euclidean space presents a general solution of variational inequalities ultra gradient algorithm , the algorithm of the search direction is new, its better computer numerical verification , where appropriate, under the assumption proved the convergence of the algorithm , and carried out convergence rate analysis . In the third chapter, in a limited dimensional Euclidean space is given in the classical variational inequalities dilated general form of super- gradient algorithm is proved that such convergence of the algorithm and dilated . These algorithms and computer numerical tests carried out by comparing the results , the authors selected some better performance dilated super gradient algorithm .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Inequality and other
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