On Constrained Programming Problems with Singular Designs via Super Convergent Line Series.

Thomas Adidaumbe Ugbe; Richmond Ofonodo; Edet Effiong Bassey; Stephen Sebastian Akpan

doi:10.52589/AJMSS-X1ML91KI

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On Constrained Programming Problems with Singular Designs via Super Convergent Line Series.

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African Journal of Mathematics and Statistics Studies

Vol. 8Issue 32025pp. 1–14Published 18 July 2025

DOI 10.52589/AJMSS-X1ML91KI

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Abstract:

The study extends the Super Convergent Line Series Algorithm to a case where the determinant information matrix of the design is zero by employing the Moore-Penrose inverse approach. The algorithm is tested using a numerical example on a constrained programming problem. The optimal solution obtained by the algorithm compares favorably with the one obtained by an existing Frank-Wolfe method and the value of the optimizer satisfies the given constraint equation.

Keywords:Algorithm Direction Vector Support Points Optimizer Information Matrix.

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Copyrights

Authors retain copyright in their articles and have unrestricted rights to reuse, republish, archive, share, and distribute their work after publication.
All articles are published open access under the Creative Commons Attribution 4.0 International (CC BY 4.0) licence, which permits use, sharing, adaptation, distribution, and reproduction in any medium or format, including for commercial purposes, provided appropriate credit is given to the original author(s) and source.