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    STUDIA MATHEMATICA - Ediţia nr.4 din 2021  
         
  Articol:   A WEIGHTED LOGARITHMIC BARRIER INTERIOR-POINT METHOD FOR LINEARLY CONSTRAINED OPTIMIZATION.

Autori:  SELMA LAMRI, BACHIR MERIKHI, MOHAMED ACHACHE.
 
       
         
  Rezumat:  
DOI: 10.24193/subbmath. 2021.4.14

Published Online: 2021-12-14
Published Print: 2021-12-30
pp. 783-792

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In this paper, a weighted logarithmic barrier interior-point method for solving the linearly convex constrained optimization problems is presented. Unlike the classical central-path, the barrier parameter associated with the perturbed barrier problems, is not a scalar, but is a weighted positive vector. This modification gives a theoretical flexibility on its convergence and its numerical performance. In addition, this method is of a Newton descent direction and the computation of the step-size along this direction is based on a new efficient technique called the tangent method. The practical efficiency of our approach is shown by giving some numerical results.

Keywords: Logarithmic barrier method, linearly constrained convex optimization, interior-point methods.

Mathematics Subject Classification (2010): 90C30, 90C25, 90C51.
 
         
     
         
         
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