Data Structures and Programming Techniques for the Implementation of Karmarkar's Algorithm

  title={Data Structures and Programming Techniques for the Implementation of Karmarkar's Algorithm},
  author={I. Adler and N. Karmarkar and M. Resende and G. Veiga},
  journal={INFORMS J. Comput.},
This paper describes data structures and programming techniques used in an implementation of Karmarkar's algorithm for linear programming. Most of our discussion focuses on applying Gaussian elimination toward the solution of a sequence of sparse symmetric positive definite systems of linear equations, the main requirement in Karmarkar's algorithm. Our approach relies on a direct factorization scheme, with an extensive symbolic factorization step performed in a preparatory stage of the linear… Expand

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