By O'sullivan F., Roy S.

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We show how to improve a well-known bound by Toledo et al. [32,23], and we outline an algorithm [28] almost achieving this bound on platforms with a single worker. 5. s stripes .. Bk,j t blocks .. of size q × q ... r stripes Ai,k .. ... Ci,j r × s blocks Figure 5. Partition of the three matrices. 2. Framework and Notations Here, we formally state the hypotheses on the application and on the target platform. We deal with the computational kernel C ← C + A · B. We partition the three matrices A, B, and C as illustrated in Figure 5.

ACM. 209958. [22] J. Kurzak, A. Buttari, and J. J. Dongarra. Solving systems of linear equation on the CELL processor using Cholesky factorization. Trans. Parallel Distrib. , 19(9):1175–1186, 2008. 70813. [23] J. Kurzak and J. J. Dongarra. QR factorization for the CELL processor. Scientific Programming. (accepted). [24] R. E. Lord, J. S. Kowalik, and S. P. Kumar. Solving linear algebraic equations on an MIMD computer. J. ACM, 30(1):103–117, 1983. 322366. [25] R. C. Agarwal and F. G. Gustavson. A parallel implementation of matrix multiplication and LU factorization on the IBM 3090.

Lecture Notes in Computer Science 4699:147156. 1007/978-3-540-75755-9_18. [28] A. Buttari, J. J. Dongarra, P. Husbands, J. Kurzak, and K. Yelick. Multithreading for synchronization tolerance in matrix factorization. In Scientific Discovery through Advanced Computing, SciDAC 2007, Boston, MA, June 24-28 2007. Journal of Physics: Conference Series 78:012028, IOP Publishing. 1088/17426596/78/1/012028. [29] A. Buttari, J. Langou, J. Kurzak, and J. J. Dongarra. Parallel tiled QR factorization for multicore architectures.

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A statistical measure of tissue heterogeneity with application to 3D PET sarcoma data (2003)(en)(16s by O'sullivan F., Roy S.

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