# Hacijan's algorithm in VAXIMA: improvements and difficulties

4. Algorithms II

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## Abstract

Improvements to Hacijan's polynomial-time algorithm in linear programming are described. New iteration formulas are given and proved. The algorithm has been implemented in a version of the MACSYMA system on the VAX-11 known as VAXIMA. The implementation is described. Data from computer experiments are included and they indicate (a) the substantial improvement over the original algorithm and (b) the difficulty in making any Hacijan-type algorithm competitive with the simplex algorithm.

## Keywords

Volume Reduction Feasible Region Feasible Point Simplex Algorithm Decimal Digit
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## Copyright information

© Springer-Verlag Berlin Heidelberg 1982