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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    BIT 30 (1990), S. 289-300 
    ISSN: 1572-9125
    Keywords: F.2.2 ; I.3.5 ; Outer Projections ; Relaxations ; Convex Feasibility Problem ; Row-action Methods ; Block-iterations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A new algorithmic scheme is proposed for finding a common point of finitely many closed convex sets. The scheme uses weighted averages (convex combinations) of relaxed projections onto approximating halfspaces. By varying the weights we generalize Cimmino's and Auslender's methods as well as more recent versions developed by Iusem & De Pierro and Aharoni & Censor. Our approach offers great computational flexibility and encompasses a wide variety of known algorithms as special instances. Also, since it is “block-iterative”, it lends itself to parallel processing.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Computational optimization and applications 4 (1995), S. 5-21 
    ISSN: 1573-2894
    Keywords: quasi-variational inequality ; implicit complementarity problem ; Newton method ; semismoothness ; generalized Jacobian
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract A variant of the Newton method for nonsmooth equations is applied to solve numerically quasivariational inequalities with monotone operators. For this purpose, we investigate the semismoothness of a certain locally Lipschitz operator coming from the quasi-variational inequality, and analyse the generalized Jacobian of this operator to ensure local convergence of the method. A simplified variant of this approach, applicable to implicit complementarity problems, is also studied. Small test examples have been computed.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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