Numerical Linear Algebra Courses and Certifications

Matrix Theory and Applications

Builds foundational matrix theory through decompositions, least-squares methods, algorithms, and applications in optimization, machine learning, and probability.

• Swayam
• Available until Oct 9, 2026
• Free Online Course

CppCon

Linear Algebra Coming to Standard C++ - std::linalg

Explore std::linalg, a new C++ library for efficient linear algebra computations using modern C++ idioms. Learn its benefits, implementation, and potential impact on C++ development.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

Steve Brunton

Compressed Sensing and Dynamic Mode Decomposition

Learn how compressed sensing enables dynamic mode decomposition from under-sampled or compressed data.

• YouTube
• 31 minutes
• Self-Paced
• 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
• No Longer Offered
• Free Online Course

NPTEL;  IIT (ISM) Dhanbad

Numerical Linear Algebra and Application

Numerical methods for solving ill-conditioned linear systems, least-squares problems, and eigenvalue computations with stability and error analysis.

• Swayam
• 12 weeks
• No Longer Offered
• Free Online Course

GOTO Conferences

Functional Programming and Scala for Machine Learning - YOW! 2015

Explore how functional programming and Scala can revolutionize machine learning, offering strongly-typed solutions for efficient algorithm implementation and scalable data processing.

• YouTube
• 34 minutes
• Self-Paced
• Free Video

CppCon

Is C++23 std::mdspan a Zero-overhead Abstraction? - Lecture

Explore C++23 std::mdspan's efficiency as a zero-overhead abstraction for multi-dimensional arrays through matrix and image operations, comparing assembly output to low-level implementations.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

CppCon

Guide to Linear Algebra With the Eigen C++ Library

Explore the Eigen C++ library for linear algebra, covering setup, matrix decompositions, STL algorithm compatibility, and integration with C++23/26 features for scientific programming applications.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

CppNow

C++ Compile-Time Sparse Matrices for Linear Algebra and Tracking Applications

Explore compile-time sparse matrices in C++ for efficient linear algebra and tracking applications, optimizing memory usage and performance through advanced type system techniques.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Conference Talk

ACCU Conference

C++ and Linear Algebra

Explore the proposal for adding linear algebra support to C++'s standard library, discussing its importance, requirements, and potential applications in geometry and color manipulation.

• YouTube
• 1 hour 18 minutes
• Self-Paced
• Conference Talk

Métodos numéricos para matemáticas con Octave

5 ratings

En este curso en línea se hace una introducción a diferentes temas relacionados con la resolución numérica de ecuaciones diferenciales ordinarias.

• edX
• 5 weeks, 4-5 hours a week
• Self-Paced
• Free Online Course (Audit)

The Julia Programming Language

BLASPhemy - Improving BLAS Handling in Enzyme.jl

Optimizing BLAS and Lapack routines for Enzyme.jl, improving performance and reliability in numerical computations and machine learning applications within the Julia ecosystem.

• YouTube
• 24 minutes
• Self-Paced
• Free Video

The Julia Programming Language

Parallel Algebraic Multigrid in Julia with PartitionedArrays.jl - JuliaCon 2024

Explore parallel algebraic multigrid methods in Julia using PartitionedArrays.jl. Learn about recent updates, implementation strategies, and advantages over traditional MPI-based approaches for large-scale linear solvers.

• YouTube
• 11 minutes
• Self-Paced
• Free Video

Meeting Cpp

Compile-Time Sparse Matrices - Optimizing Memory and Performance

Explore compile-time sparse matrices for efficient memory use and performance in C++ linear algebra. Learn to incorporate sparseness information, reduce storage, and optimize operations automatically.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Prof. Ryan C. Cooper

ME3255 - Linear Algebra, Condition Numbers, and Error

Explore linear algebra concepts, condition numbers, and error analysis in numerical methods. Enhance problem-solving skills for engineering applications.

• YouTube
• 41 minutes
• Self-Paced
• Free Video