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On the behaviour of the underrelaxed Hildreth’s row-action method for computing projections onto polyhedra

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  • Thomas Katsekpor

    (University of Ghana)

Abstract

A strongly underrelaxed sequential version of the Hildreth’s iterative algorithm for norm minimization over linear inequalities is presented. Proofs are given showing that the algorithm converges from any starting point to its projection onto the linear constraint set in the feasible case and to the nearest least squares solution in the general case.

Suggested Citation

  • Thomas Katsekpor, 2023. "On the behaviour of the underrelaxed Hildreth’s row-action method for computing projections onto polyhedra," OPSEARCH, Springer;Operational Research Society of India, vol. 60(4), pages 1757-1776, December.
    • Handle: RePEc:spr:opsear:v:60:y:2023:i:4:d:10.1007_s12597-023-00656-x
    DOI: 10.1007/s12597-023-00656-x
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    References listed on IDEAS

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    1. P. Senthil Kumar, 2019. "Intuitionistic fuzzy solid assignment problems: a software-based approach," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(4), pages 661-675, August.
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