Browsing by Keywords "Finiteness"

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    • Newton's method for linear inequality systems 

      Pınar, M. Ç. (Elsevier, 1998)
      We describe a modified Newton type algorithm for the solution of linear inequality systems in the sense of minimizing the ℓ2 norm of infeasibilities. Finite termination is proved, and numerical results are given. © 1998 ...

    • Piecewise-linear pathways to the optimal solution set in linear programming 

      Pınar, M. Ç. (Kluwer Academic Publishers - Plenum Publishers, 1997)
      This paper takes a fresh look at the application of quadratic penalty functions to linear programming. Recently, Madsen et al. (Ref. 1) described a continuation algorithm for linear programming based on smoothing a dual ...