Linear Algebra - Foundations to Frontiers
Robert van de Geijn et al.
Learn the mathematics behind linear algebra and link it to matrix software development.
More resources on LU Factorization
CLAPACK Documentation
Practical implementation details for LU in Fortran/C
Introduction to Numerical Linear Algebra
Learn LU factorization and more in this introductory Numerical Linear Algebra course from Gilbert Strang at MIT.
mathworld.wolfram.com
Wolfram MathWorld is a comprehensive online mathematics encyclopedia with articles on topics ranging from algebra to linear algebra, including LU factorization. Each entry provides clear definitions, formulas, explanations, and often examples and references, with links to related concepts.
ocw.mit.edu
MIT OpenCourseWare is a free, openly licensed repository of MIT course materials, including lecture notes, assignments, exams, and videos. It covers a wide range of subjects, with resources to study linear algebra topics like LU factorization at your own pace.
nptel.ac.in
NPTEL is India’s government-backed online learning platform offering free and paid engineering and science courses, with video lectures, downloadable notes, assignments, and certificates. It hosts courses on linear algebra and numerical methods, where you can learn topics like LU factorization through structured modules, lectures, readings, and assessments.