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As part of the FLAME project, we have been dilligently developing new methodologies for analyzing, designing, and implementing linear algebra libraries. While we did not know it when we started, these techniques appear to solve many of the programmability problems that now face us with the advent of multicore and many-core architectures. These efforts have culminated in a new library, libflame, which strives to replace similar libraries that date back to the late 20th century. With this paper, we introduce the scientific computing community to this library.