Numerical Linear Algebra Courses and Certifications

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

Mixed Precision Numerical Linear Algebra

Explore mixed precision arithmetic in numerical linear algebra, balancing performance gains with accuracy while analyzing error sources in scientific computing applications.

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

Society for Industrial and Applied Mathematics

Gene Golub SIAM Summer School - Advanced Numerical Methods and Matrix Computations

Explore advanced numerical methods through expert lectures on sparse solvers, matrix equations, eigenvalue problems, and matrix functions from SIAM's prestigious summer school.

• YouTube
• 1 day 9 hours 57 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

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

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

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

BIMSA

Structure-Preserving Algorithms for the Bethe-Salpeter Eigenvalue Problem

Discover structure-preserving algorithms for solving the Bethe-Salpeter eigenvalue problem in computational physics and quantum many-body theory.

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

NPTEL-NOC IITM

Discussion on Doubts - Preconditioned Conjugate Gradient and Choleski Decomposition

Explore preconditioned conjugate gradient methods, Choleski decomposition, and preconditioners in this concise mathematical discussion addressing common doubts.

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

Institute for Pure & Applied Mathematics (IPAM)

Numerical Approximation of Traces of Matrix Functions

Explore numerical techniques for approximating traces of matrix functions, focusing on the Hutchinson trace estimator and its variants for functions like matrix logarithm, entropy, and exponential in quantum optimal transport.

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

BIMSA

Structure and Computation - Algebraic Riccati Equations as an Example

Explore the interplay between mathematical structure and computational methods through algebraic Riccati equations in this advanced seminar.

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

Gautam Varde

Diagonalization of a Matrix - Numerical Examples in Linear Algebra

Learn to diagonalize matrices through clear examples, enhancing your understanding of linear algebra and its applications in various mathematical and scientific fields.

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

Institute for Pure & Applied Mathematics (IPAM)

Quantum Numerical Linear Algebra

Explore cutting-edge quantum algorithms for linear algebra tasks including solving systems, eigenvalue decomposition, and matrix functions on near-term quantum devices.

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