The Formal Linear Algebra Methods Environment (FLAME) encompasses a
methodology for deriving an algorithm for a dense linear
algebra operation hand-in-hand with its proof of correctness
as well as... More > an approach to represent (and code) the
resulting algorithm. This books reviews the foundations of FLAME:
the derivation methodology, the notation, and the high-level Application
Programming Interfaces, which are applied to basic linear algebra operations as well as operations for the solution of linear systems.
While the text targets the novice, its emphasis on high performance
algorithms should also be of interest to the expert.< Less