What is "eigen"

Eigen may refer to:

• Eigen (C++ library), a computer programming library for matrix and linear algebra operations
• Eigen, Schwyz, a settlement in the municipality of Alpthal in the canton of Schwyz, Switzerland
• Eigen, Thurgau, a locality in the municipality of Lengwil in the canton of Thurgau, Switzerland
• Manfred Eigen, a German biophysicist
• Saint Eigen

• Eigenvalue, eigenvector and eigenspace in mathematics and physics

Eigen is a high-level C++ library of template headers for linear algebra, matrix and vector operations, geometrical transformations, numerical solvers and related algorithms. Eigen is an open source library licensed under MPL2 starting from version 3.1.1. Earlier versions were licensed under LGPL3+.

Eigen is implemented using the expression templates metaprogramming technique, meaning it builds expression trees at compile time and generates custom code to evaluate these. Using expression templates and a cost model of floating point operations, the library performs its own loop unrolling and vectorization.