The Matrix Template Library is a C++ class library for basic linear algebra. The MTL is designed for high-performance while at the same time taking advantage of the generic programming paradigm (ala the STL) to allow much greater flexibility and breadth of functionality. Many new and advanced programming techniques were used in the construction of this library. The MTL is a low level library in the sense that the user must be conscious of the matrix type being used, and that all computationally expensive operations are explicit.