Jurnal Informatika Logika
Vol. 3 No. 2 (2026)

Build a Desktop and Android-Based Gauss-Seidel Method SPL Calculator

Febry Wulandari (Universitas Muhammadiyah Gresik)
Nazwa Endhita Hariyanto (Universitas Muhammadiyah Gresik)
Nadya Husenti (Universitas Muhammadiyah Gresik)



Article Info

Publish Date
15 Jul 2027

Abstract

Systems of Linear Equations (SLE) play a critical role across multiple disciplines including engineering, physics, and quantitative economics. Manual resolution is error-prone, especially as system dimensionality increases. This research presents the design and development of a digital calculator implementing the Gauss-Seidel iterative method to solve m×n SLE automatically, on both Java Swing desktop and React Native Android platforms. Three solution scenarios are supported: square systems (m=n) via direct Gauss-Seidel iteration, overdetermined systems (m>n) via normal least-squares equations, and underdetermined systems (m<n) via minimum-norm solutions. Key features include convergence graph visualization, step-by-step iteration navigation, diagonal dominance analysis, and full iteration history. Testing on 3×3 to 4×4 systems yields RMSE below 10⁻⁶ with convergence within 20 iterations for diagonally dominant matrices, confirming the effectiveness of a multiplatform approach for numerical software in educational and professional contexts.

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Journal Info

Abbrev

jil

Publisher

Subject

Description

Aim: Jurnal Informatika Logika (JIL) bertujuan untuk menjadi wadah publikasi ilmiah yang berkualitas bagi para akademisi, peneliti, dan praktisi di bidang teknologi informasi dan ilmu komputer. Jurnal ini berkomitmen untuk menyebarluaskan hasil penelitian yang inovatif, orisinal, dan memiliki ...