Determining the Ideal Nutritional Composition for Stunting Management Using the LU Decomposition Method

Santri Chintia Purba; Hildegardis Ningsi; Putri Artha

doi:10.33541/edumatsains.v10i4.7789

Authors

Santri Chintia Purba
Hildegardis Ningsi Universitas Kristen Indonesia
Putri Artha

DOI:

https://doi.org/10.33541/edumatsains.v10i4.7789

Keywords:

stunting, linear equations, LU decomposition, numerical analysis, nutritional modeling

Abstract

Stunting remains a critical nutritional issue in Indonesia, particularly among children aged 1–3 years, where adequate macronutrient intake is essential for optimal growth and development. This study aims to model nutritional requirements using a system of linear equations and solve it through the LU decomposition method. The model is constructed based on the Recommended Dietary Allowance (RDA/AKG) and the Indonesian Food Composition Table (TKPI), using three variables representing the consumption of chicken eggs, white rice, and soybeans, and three equations representing protein, fat, and carbohydrate requirements. The system is formulated as a 3×3 linear model and solved using LU decomposition through matrix factorization and forward–backward substitution. The results show a unique solution, with values . Although mathematically valid, the negative value indicates that the model does not fully represent real-world conditions due to the absence of constraints, particularly non-negativity conditions. These findings confirm that LU decomposition is effective for solving linear systems, but its practical application requires integration with constraint-based approaches to ensure feasible and realistic solutions.

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