All my assignments to the course MM5016 at Stockholm University

Implementação de método direto e indireto de um sistema de equação linear.

Inexact subspace iteration

Class taken at MSU in Fall 2022 | Mostly homework scripts

Programs in python for numerical linear algebra

Compute LSU factorization of a matrix in PyTorch

DCGeig is a solver for large, sparse generalized eigenvalue problems with real symmetric positive definite matrices. It computes eigenvalues and eigenvectors and can be used, e.g., for computing eigenfrequencies of finite element models.

A program that computes eigenvalues of a Floquet Hamiltonian in the dipole approximation

A numerical linear algebra library implemented using only Numpy arrays.

Evaluating several new approaches to improve convergence of Randomized Kaczmarz (RK) for consistent ill-conditioned systems. This project explores the availability of convergence information among pairwise row differences and analyzes sampling techniques that involve clustering and spectral analysis.

The user friendly randomized numerical linear algebra package

Implemented Numerical Linear Algebra algorithms with improved performance over the standard algorithm in terms of speed, storage, and stability for special matrices of scientific interest; such as Vandermonde, sparse, and Hermitian matrices.

DIY Numerical Linear Algebra package

numerical linear algebra

Image compression using Singular Value Decomposition (SVD) in Python, comparing a 'from scratch' Power Iteration method with NumPy's optimized SVD.

A comparison of the power and Jacobi methods for numerically approximating eigenvalues of a linear system.

Cholesky decomposition for Hilbert matrix of any order in Python 3 (Two programs)

Randomized linear algebra-based methods for optimization and scientific computing in PyTorch.

Python implementation of RLS-Nystrom