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  • 1
    Digitale Medien
    Digitale Medien
    Relaxed outer projections, weighted averages and convex feasibility (1990)
    Springer
    BIT 30 (1990), S. 289-300 
    Details
    ISSN: 1572-9125
    Schlagwort(e): F.2.2 ; I.3.5 ; Outer Projections ; Relaxations ; Convex Feasibility Problem ; Row-action Methods ; Block-iterations
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: 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.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02017349
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    Digitale Medien
    Digitale Medien
    A Newton method for a class of quasi-variational inequalities (1995)
    Springer
    Computational optimization and applications 4 (1995), S. 5-21 
    Details
    ISSN: 1573-2894
    Schlagwort(e): quasi-variational inequality ; implicit complementarity problem ; Newton method ; semismoothness ; generalized Jacobian
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Informatik
    Notizen: 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.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01299156
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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    Artikel (Nationallizenzen)
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