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 Online Course

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 Online Course

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 Online Course

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 Online Course

Institute for Pure & Applied Mathematics (IPAM)

Efficient Quantum Algorithm for Dissipative Nonlinear Differential Equations

Explore efficient quantum algorithms for nonlinear differential equations, overcoming limitations through Carleman linearization. Discover potential applications in biology, fluid dynamics, and plasma physics.

• YouTube
• 38 minutes
• On-Demand
• Free Online Course

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 Online Course

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 Online Course

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 Online Course

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 Online Course

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 Online Course

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 Online Course

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

Introduction to numerical analysis

Learn foundational numerical analysis concepts, from machine arithmetic to differential equations, with hands-on implementation of algorithms for solving various mathematical problems.

• Coursera
• 7 weeks
• Finished
• Free Online Course (Audit)

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
• Finished
• 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
• Finished
• Free Online Course