Numerical Linear Algebra Courses and Certifications

Simons Institute

Advanced Techniques for Low-Rank Matrix Approximation

Explore cutting-edge methods for low-rank matrix approximation, including randomized algorithms and factorizations, with insights on efficiency and accuracy comparisons.

• YouTube
• 32 minutes
• On-Demand
• Free Video

Simons Institute

Randomized Numerical Linear Algebra - Overview

Explore randomized numerical linear algebra techniques for efficient matrix computations, covering sampling methods, error bounds, and applications to least-squares problems and SVD.

• YouTube
• 32 minutes
• On-Demand
• Free Video

Society for Industrial and Applied Mathematics

Factorization-based Sparse Solvers and Preconditioners - Lecture 3

Explore factorization-based sparse solvers and preconditioners, covering topics like minimum degree ordering, numerical pivoting, and sparse Gaussian elimination techniques.

• YouTube
• 1 hour 39 minutes
• On-Demand
• Free Video

International Mathematical Union

Numerical Stability of Algorithms at Extreme Scale and Low Precisions

Explore numerical stability in extreme-scale computing and low-precision arithmetic, focusing on error bounds, blocked algorithms, and probabilistic analysis for matrix computations.

• YouTube
• 45 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Convergence Analysis and Parameter Choice for the Iterated Arnoldi-Tikhonov Method

Explore convergence analysis and parameter selection for the iterated Arnoldi-Tikhonov method in this mathematical conference talk by Lothar Reichel.

• YouTube
• 23 minutes
• On-Demand
• Free Video

IIT Roorkee;  NPTEL

Numerical Linear Algebra

This course has tremendous applications in diverse fields of Engineering and Sciences such as control theory, image processing, numerical analysis and dynamical systems etc.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

NPTEL;  IIT (ISM) Dhanbad

Numerical Linear Algebra and Application

Explore advanced numerical techniques for solving linear systems, including factorization, iterative methods, and eigenvalue problems. Gain practical skills for scientific computing and software development.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

HUJI Machine Learning Club

Gauss-Legendre Features for Scalable Gaussian Process Regression

Discover how Gauss-Legendre features enable efficient scaling of Gaussian process regression through low-rank kernel matrix approximation, offering faster computation for large datasets with poly-logarithmic feature requirements.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Society for Industrial and Applied Mathematics

Hierarchical Interpolative Factorization

Explore efficient matrix factorization techniques for differential and integral operators, focusing on interpolative decomposition and its applications in various dimensions and problem types.

• YouTube
• 33 minutes
• On-Demand
• Conference Talk

Institute for Pure & Applied Mathematics (IPAM)

Quantum Approximate Optimization Algorithm and Local Max-Cut - IPAM at UCLA

Explore quantum optimization algorithms, focusing on QAOA's application to LocalMaxCut. Discover insights on quantum supremacy and the performance comparison between local algorithms and QAOA on various graph instances.

• YouTube
• 28 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Heisenberg-Limited Ground State Energy Estimation for Early Fault-Tolerant Quantum Computers

Explore Heisenberg-limited ground state energy estimation for early fault-tolerant quantum computers, featuring a simplified circuit and classical post-processing for improved efficiency.

• YouTube
• 33 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Optimal Scaling Quantum Linear Systems Solver via Discrete Adiabatic Theorem

Explore optimal quantum linear systems solver using discrete adiabatic theorem, achieving linear complexity in condition number and precision, with simplified implementation and constant factor analysis.

• YouTube
• 41 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

The Quantum Linear Systems Problem - IPAM at UCLA

Explore quantum algorithms for solving linear systems, including improved methods and complexity analysis, with a focus on potential exponential speedups and verification challenges.

• YouTube
• 34 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Fast Algorithms for Quantum Signal Processing - IPAM at UCLA

Explore fast algorithms for quantum signal processing, focusing on optimization techniques, energy landscapes, and phase factor structures in quantum singular value transformation.

• YouTube
• 35 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Time-Dependent Hamiltonian Simulation of Highly Oscillatory Dynamics - IPAM at UCLA

Explore highly oscillatory dynamics in quantum systems, focusing on efficient simulation algorithms for time-dependent Hamiltonians with applications in various scientific fields.

• YouTube
• 35 minutes
• On-Demand
• Free Video