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Generalization of Karmarkar's algorithm to convex homogeneous functions

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Publication:1197885
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DOI10.1016/0167-6377(92)90039-6zbMath0760.90077OpenAlexW1980375658MaRDI QIDQ1197885

Bahman Kalantari

Publication date: 16 January 1993

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6377(92)90039-6


zbMATH Keywords

homogeneous convex function


Mathematics Subject Classification ID

Convex programming (90C25) Computational methods for problems pertaining to operations research and mathematical programming (90-08)


Related Items (1)

A theorem of the alternative for multihomogeneous functions and its relationship to diagonal scaling of matrices



Cites Work

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  • A new polynomial-time algorithm for linear programming
  • Karmarkar's algorithm with improved steps
  • An extension of Karmarkar's algorithm for linear programming using dual variables
  • An extension of Karmarkar's projective algorithm for convex quadratic programming
  • An extension of Karmarkar's algorithm for solving a system of linear homogeneous equations on the simplex
  • Computing Optimal Locally Constrained Steps
  • Newton’s Method with a Model Trust Region Modification




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