A Simple Convention for the Specification of Linear Algebra Function Prototypes in C++

This short note describes a simple convention for the specification of C++ function prototypes for linear algebra operations with vectors and matrices (or general linear operators). This convention leads to function prototypes that are derived directly from the mathematical expressions them-selves (and are therefore easy to remember), allow for highly optimized implementations (through inlining in C++), and do not rely on any sophisticated C++ techniques so that even novice C++ programmers can understand and step through the code in a debugger