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  • 1
    Electronic Resource
    Electronic Resource
    An extended descent framework for variational inequalities (1994)
    Springer
    Journal of optimization theory and applications 80 (1994), S. 349-366 
    Details
    ISSN: 1573-2878
    Keywords: Mathematical programming ; variational inequalities ; descent methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, we develop a very general descent framework for solving asymmetric, monotone variational inequalities. We introduce two classes of differentiable merit functions and the associated global convergence frameworks which include, as special instances, the projection, Newton, quasi-Newton, linear Jacobi, and nonlinear methods. The generic algorithm is very flexible and consequently well suited for exploiting any particular structure of the problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02192941
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  • 2
    Electronic Resource
    Electronic Resource
    Global convergence of descent processes for solving non strictly monotone variational inequalities (1995)
    Springer
    Computational optimization and applications 4 (1995), S. 127-138 
    Details
    ISSN: 1573-2894
    Keywords: descent methods ; variational inequalities ; global convergence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract This paper addresses the question of global convergence of descent processes for solving monotone variational inequalities defined on compact subsets ofR n . The approach applies to a large class of methods that includes Newton, Jacobi and linearized Jacobi methods as special cases. Furthermore, strict monotonicity of the cost mapping is not required.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01302892
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