FLAME
We present a number of application program interfaces (APIs) for coding linear algebra algorithms. On the surface, these APIs for the MATLAB M-script and C programming languages appear to be simple, almost trivial, extensions of those languages. Yet with them, the task of programming and maintaining families of algorithms for a broad spectrum of linear algebra operations is greatly simplified. In combination with our formal linear algebra methods environment (FLAME) approach to deriving such families of algorithms, dozens of algorithms for a single linear algebra operation can be derived, verified to be correct, implemented, and tested, often in a matter of minutes per algorithm. Since the algorithms are expressed in code much like they are explained in a classroom setting, these APIs become not just a tool for implementing libraries, but also a valuable tool for teaching the algorithms that are incorporated in the libraries. In combination with an extension of the parallel linear algebra package (PLAPACK) API, the approach presents a migratory path from algorithm to MATLAB implementation to high-performance sequential implementation to parallel implementation. Finally, the APIs are being used to create a repository of algorithms and implementations for linear algebra operations, the FLAME interface REpository (FIRE), which already features hundreds of algorithms for dozens of commonly encountered linear algebra operations
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References in zbMATH (referenced in 39 articles , 2 standard articles )
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Sorted by year (- D’Alberto, Paolo; Nicolau, Alexandru: Adaptive Winograd’s matrix multiplications (2009)
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- Jin, Haoqiang; Chapman, Barbara; Huang, Lei; Mey, Dieter An; Reichstein, Thomas: Performance evaluation of a multi-zone application in different openmp approaches (2008)
- Terrel, A. R.; Scott, L. R.; Knepley, M. G.; Kirby, R. C.: Automated FEM discretizations for the Stokes equation (2008)
- Van Zee, Field G.; Bientinesi, Paolo; Low, Tze Meng; van de Geijn, Robert A.: Scalable parallelization of FLAME code via the workqueuing model. (2008)
- Barnes, David J.; Hopkins, Tim R.: Improving test coverage of LAPACK (2007)
- Anagnostakis, K. G.; Greenwald, M. B.; Ioannidis, S.; Li, D.; Smith, J. M.: Flexible network monitoring with FLAME (2006)
- Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio: Solving stable Sylvester equations via rational iterative schemes (2006)
- Tsukerman, Igor: A class of difference schemes with flexible local approximation (2006)
- Basermann, Achim; Tsukerman, Igor: Parallel generalized finite element method for magnetic multiparticle problems (2005)
- Bientinesi, Paolo; Gunnels, John A.; Myers, Margaret E.; Quintana-Ortí, Enrique S.; van de Geijn, Robert A.: The science of deriving dense linear algebra algorithms (2005)
- Bientinesi, Paolo; Quintana-Ortí, Enrique S.; van de Geijn, Robert A.: Representing linear algebra algorithms in code: The FLAME application program interfaces (2005)
- Kirby, Robert C.; Knepley, Matthew; Logg, Anders; Scott, L. Ridgway: Optimizing the evaluation of finite element matrices (2005)
- Anagnostakis, Kostas G.; Greenwald, Michael; Ioannidis, Sotiris; Miltchev, Stefan: Open packet monitoring on FLAME: Safety, performance, and applications (2002)
- Koch, Andreas: Compilation for adaptive computing systems using complex parameterized hardware objects (2002)
- Valsalam, Vinod; Skjellum, Anthony: A framework for high-performance matrix multiplication based on hierarchical abstractions, algorithms and optimized low-level kernels (2002)
- Gunnels, John A.; Gustavson, Fred G.; Henry, Greg M.; van de Geijn, Robert A.: FLAME: formal linear algebra methods environment (2001)
- Neumann, Tilman; Koch, Andreas: A generic library for adaptive computing environments (2001)
- Omelchenko, Yu. A.; Sudan, R. N.: A 3-D Darwin-EM hybrid PIC code for ion ring studies (1997)