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Putri Artha
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Agriculture, Biological Sciences & Forestry Chemistry Education Mathematics Physics

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Determining the Ideal Nutritional Composition for Stunting Management Using the LU Decomposition Method Santri Chintia Purba; Ningsi, Hildegardis; Putri Artha
EduMatSains : Jurnal Pendidikan, Matematika dan Sains Vol 10 No 4 (2026): April
Publisher : Fakultas Keguruan dan Ilmu Pendidikan, Universitas Kristen Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33541/edumatsains.v10i4.7789

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.
Co-Authors Ningsi, Hildegardis Santri Chintia Purba