By Robert Haase with code from (Shuai Che: firstname.lastname@example.org and Kevin Skadron: email@example.com)
Gauss Jordan elimination algorithm for solving linear equation systems.
Ent the equation coefficients as an nn sized image A and an n1 sized image B:
a(1,1)*x + a(2,1)*y + a(3,1)+z = b(1) a(2,1)*x + a(2,2)*y + a(3,2)+z = b(2) a(3,1)*x + a(3,2)*y + a(3,3)+z = b(3)
The results will then be given in an n*1 image with values [x, y, z].
Adapted from: https://github.com/qbunia/rodinia/blob/master/opencl/gaussian/gaussianElim_kernels.cl L.G. Szafaryn, K. Skadron and J. Saucerman. “Experiences Accelerating MATLAB Systems //Biology Applications.” in Workshop on Biomedicine in Computing (BiC) at the International //Symposium on Computer Architecture (ISCA), June 2009.
Ext.CLIJx_gaussJordan(Image A_matrix, Image B_result_vector, Image solution_destination);
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//If you use this software or a modified version of it, please cite the most relevant among the following papers:
//- M. A. Goodrum, M. J. Trotter, A. Aksel, S. T. Acton, and K. Skadron. Parallelization of Particle Filter Algorithms. In Proceedings
//of the 3rd Workshop on Emerging Applications and Many-core Architecture (EAMA), in conjunction with the IEEE/ACM International
//Symposium on Computer Architecture (ISCA), June 2010.
//- S. Che, M. Boyer, J. Meng, D. Tarjan, J. W. Sheaffer, Sang-Ha Lee and K. Skadron.
//”Rodinia: A Benchmark Suite for Heterogeneous Computing”. IEEE International Symposium
//on Workload Characterization, Oct 2009.
//- J. Meng and K. Skadron. “Performance Modeling and Automatic Ghost Zone Optimization
//for Iterative Stencil Loops on GPUs.” In Proceedings of the 23rd Annual ACM International
//Conference on Supercomputing (ICS), June 2009.
//- L.G. Szafaryn, K. Skadron and J. Saucerman. “Experiences Accelerating MATLAB Systems
//Biology Applications.” in Workshop on Biomedicine in Computing (BiC) at the International
//Symposium on Computer Architecture (ISCA), June 2009.
//- M. Boyer, D. Tarjan, S. T. Acton, and K. Skadron. “Accelerating Leukocyte Tracking using CUDA:
//A Case Study in Leveraging Manycore Coprocessors.” In Proceedings of the International Parallel
//and Distributed Processing Symposium (IPDPS), May 2009.
//- S. Che, M. Boyer, J. Meng, D. Tarjan, J. W. Sheaffer, and K. Skadron. “A Performance
//Study of General Purpose Applications on Graphics Processors using CUDA” Journal of
//Parallel and Distributed Computing, Elsevier, June 2008.