## Highly parallel computations: algorithms and applicationsAn up-to-date survey containing a significant amount of expository and explanatory material. Each chapter has been written by experts who have actually performed the implementations and achieved the results covered. Designed for graduate/postgraduate students and researchers working in the area of supercomputing, the text can also be used by lecturers to illustrate parallel computing methodologies and practitioners. |

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2-D DFT applications architecture array processors band matrix block cells circular shifts column complexity data items decomposition defined diagonal processors Diophantine Diophantine equations distributed equations example execution function Gaussian elimination Givens rotations global iteration graph grid hierarchy mapping hyper-systolic algorithm IEEE Trans implementation index point index space input data integer interface iteration space Kogbetliantz's algorithm Kung Leiserson linear matrix multiplication matrix multiplication algorithm matrix product memory mesh metacomputing metacomputing environment method multiplication algorithm n-body problem n2-loop neural networks NHSA nodes nondiagonal processors number of PEs number of processors obtained operations orthogonal Parallel Computing performance phase pipelined problem Proc processing elements processor array processor space QR decomposition regular base segmentation shifts SHSA solution step strides subarray supercomputers systolic algorithms systolic array systolic system technique tensor product tion transformation transitive closure update users Vajtersic vector Version VLSI