ludecomposition

This repository contains a MATLAB implementation of LU Decomposition, a method used to solve systems of linear equations, find matrix inverses, and compute determinants. The algorithm decomposes a square matrix A into the product of a lower triangular matrix L and an upper triangular matrix U.

Java matrix library with LU-decomposition-based determinant calculation, plus a Monte Carlo study of determinant variance by matrix size.

A modern GUI-based numerical methods calculator for root-finding and linear systems.

A Python desktop application for solving mathematical equations using various numerical methods. This interactive tool provides a modern GUI for inputting equations and visualizing results through interactive plots. Features include solution history tracking, customizable settings, and PDF export capabilities.

Contents for my Masters thesis "Optimized Block-Level Matrix Inversion Kernels for Small, Batched Matrices on GPUs"

Matrix library (Linear Algebra)

Sequential and Parallel implementations of LU decomposition that use Gaussian elimination to factor a dense N x N matrix into an upper-triangular one and a lower-triangular one in C++.

🎯 analyzing and transforming a dataset using Linear Algebra concepts to derive meaningful insights. The project integrates vectors, matrices, decompositions, and dimensionality reduction techniques to give students hands-on practice in mathematical foundations widely applied in Data Science, AI/ML, and Engineering.