Numerical Methods Using Kotlin: For Data Science, Analysis, and Engineering

© The Author(s), under exclusive license to APress Media, LLC, part of Springer Nature 2023

H. Li, PhDNumerical Methods Using Kotlinhttps://doi.org/10.1007/978-1-4842-8826-9_2

2. Linear Algebra

Haksun Li, PhD¹  

(1)

Hong Kong, China

 

Linear algebra algorithms are the most important algorithms in numerical computing. They are the foundation of all numerical algorithms. Many numerical algorithms, however complicated they are, involve some linear algebra computation. For example, a nonlinear problem is often difficult (or impossible) to solve directly. A popular technique is to approximate the nonlinear problem using multiple smaller linear subproblems (as in calculus). A linear problem then usually involves some vectors and matrices because it has multiple ...