LAPACK users` guide: Release 1.0

Abstract

This report was prepared as an account of work sponsored by an agency of the United States Government. Neither the United States Government nor any agency thereof, nor any of their employees, makes any warranty, express or implied, or assumes any legal liability or responsibility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights. Refer., ence herein to any specific commercial product, process, or service by trade name, trademark, manufacturer, or otherwise does not necessarily constitute or imply its endorsement, recommendation, or favoring by the United States Government or any agency thereof. The views and opinions of authors expresse_ herein do not nex,essari'y state or reflect those of the _'_"__"i[_ United States Government or any agency thereof.

A computational model of oxygen transport from red blood cells to mitochondria

“…The details and the code may be requested from the authors. This allows us to use standard linear algebra libraries [29] to solve the resulting linear system of equations.…”

Introducing: The Libflame Library for Dense Matrix Computations

“…By simply linking to the liblapack2flame compatibility layer, you can take advantage of the performance benefits offered by FLAME with virtually no changes to your application. 1 A detailed users manual. A detailed reference manual is available that details the library [27].…”

“…Seasoned users within scientific and numerical computing circles will quickly recognize the general set of functionality targeted by libflame. In short, in libflame we wish to provide not only a framework for developing dense linear algebra solutions, but also a ready-made library that is, by almost any metric, easier to use and offers competitive (and in many cases superior) real-world performance when compared to the more traditional Basic Linear Algebra Subprograms (BLAS) [8,9,16] and Linear Algebra PACKage (LAPACK) libraries [1].The purpose of this article is to briefly introduce both the philosophy that underlies the library and the library itself. Evidence of how easily it can be retargeted to what are often considered "hostile" environments is presented in form of performance results on different architectures.…”

A Family of High-Performance Matrix Multiplication Algorithms

“…The underlying idea is that many linear algebra operations can be implemented in terms of matrix multiplication [2,10,6] and thus it is this operation that should be highly optimized on different platforms. Since the coding effort required to achieve this is considerable, especially when multiple layers of cache are involved, the general consensus is that this process should be automated.…”