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This is a Quantitative Study study.

September 12, 2025Open Access

Algorithm Based on the Modified Sufficient Conditions of Inertia-Controlling Method for Globally Solution of a General Quadratic Problem

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New algorithm identifies minimizing directions in quadratic problems with linear constraints, suggesting improved efficiency.

The new algorithm effectively resolves general quadratic problems under various constraints, leading to reliable solutions.
Utilizing the KKT-matrix allows precise determination of minimize directions for indefinite, concave, and convex cases.
This method replaces traditional approaches, marking a significant advancement in quadratic programming techniques.
Results indicate that approximate methods in quadratic programming may no longer be necessary, enhancing overall problem-solving efficiency.

Choufi et al. (2025) studied this question.

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