partial-pivoting

Three C++ projects assigned for the Numerical Methods for Electrical Engineering (EE 242) course in the Spring 2021 semester.

Autonomous Agent LU Factorization with Partial Pivoting (LUP) Matrix Inversion & Linear Solver

Autonomous Agent LU Factorization with Partial Pivoting (LUP) Matrix Inversion & Linear Solver

Implementation of several numerical algorithms

Solves the linear system Ax=b for x using Gaussian elimination with partial pivoting.

Numerical methods for solving a linear system

This repository contains a series of mini-projects focused on fundamental numerical methods implemented in MATLAB. These projects cover key areas in numerical linear algebra and root-finding techniques, each designed to provide practical insights into mathematical theories and their computational applications.

High Performance Computing for Sparse LU Factorization

asymmetric linear system solver by using LU decomposition+ partial pivoting.

direct and iterative gauss methods algorithms still in terminal

gaussian elimination with scaled partial pivoting

Gaussian elimination with partial pivoting, implemented from scratch without np.linalg.solve, and benchmarked honestly against LAPACK. 10 tests.

A robust, terminal-based tool for solving systems of linear equations (N * N). This project implements Gaussian Elimination with Partial Pivoting, allowing it to handle unique solutions, inconsistent systems (no solution), and dependent systems (infinite solutions) with high numerical stability.