Numerical Linear Algebra Courses and Certifications

Numerical Methods for Engineers

79 ratings

Solve engineering problems numerically in MATLAB: root finding with Newton's method, Gaussian elimination, quadrature and interpolation, Runge-Kutta ODE solvers, and finite difference PDE schemes.

• Coursera
• 6 weeks, 7 hours a week
• Self-Paced
• Paid Course

Basic Linear Algebra with SciPy

Use SciPy in Python to solve linear systems and explore eigenvalues, eigenvectors, matrix decompositions, determinants, inverses, and sparse matrices.

• CodeSignal
• 1 hour
• Self-Paced
• Free Certificate

Advanced Linear Algebra: Foundations to Frontiers

Build practical algorithms for matrix computations: orthogonalization, solving linear systems, and eigenvalues and eigenvectors, while analyzing the effects of floating-point arithmetic on computed results.

• edX
• 16 weeks, 8-12 hours a week
• Self-Paced
• Free Online Course (Audit)

IIT Delhi;  NPTEL

Matrix Computation and its applications

Study numerical methods for matrix problems, including conditioning, least squares, SVD, eigenvalue algorithms, and QR factorization.

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

IIT Kharagpur;  NPTEL

Matrix Solver

Learn direct and iterative algorithms for efficiently solving large matrix equations, with mathematical foundations, convergence analysis, and working implementations.

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

The Julia Programming Language

Interplay of Linear Algebra, Machine Learning, and HPC - JuliaCon 2021 Keynote

A keynote on using hierarchical low-rank linear algebra and machine learning to accelerate large-scale solvers and tune their performance on high-performance computers.

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

The Julia Programming Language

Revisiting Sparse Matrix Coloring and Bicoloring

A novel sparse Jacobian bicoloring strategy uses star and acyclic coloring plus postprocessing to reduce directional derivatives for nonlinear optimization.

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

The Julia Programming Language

Binsparse - A Specification for Cross-Platform Storage of Sparse Matrices and Tensors

Discover Binsparse, a cross-platform binary format for efficient sparse matrix storage, offering 26.5x faster reads and 2.4x smaller files than text-based formats.

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

大规模矩阵计算

开启矩阵计算之门，驾驭高维数据挑战，引领科研工业新潮

• XuetangX
• Self-Paced
• Free Online Course

Numerical Methods Applied to Chemical Engineering

Apply numerical methods to chemical engineering problems: eigenvalues and SVD, Newton-Raphson solvers, ODE/DAE and PDE integration, constrained optimization, Monte Carlo, and stochastic chemical kinetics.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Mathematical Methods for Engineers II

Solve engineering problems numerically: finite differences for wave and heat equations, conservation laws and shocks, sparse matrices, multigrid and Krylov solvers, constrained optimization and duality.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Land on Vector Spaces with Python

Explore linear algebra geometrically with Python, using transformations, eigenvalues, matrix decompositions, and singular-value decomposition in practical applications.

• Independent
• 4 weeks, 8 hours a week
• Self-Paced
• Free Online Course

Princess Nora bint Abdul Rahman University

Numerical Analysis

This course is to understand and explain how, why and when numerical approaches for solving methematical problems can be expected and worked

• XuetangX
• Self-Paced
• Free Online Course

Vidyasagar University;  CEC

Numerical Analysis

A comprehensive numerical analysis course develops computational algorithms for interpolation, linear systems, integration, and differential equations, with attention to errors and stability.

• Swayam
• 12 weeks
• Available until Oct 31, 2026
• Free Online Course