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Dense Matrix Products
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allows aout array in Figure assume band matrix begin boolean calculation channel Chapter circuit clock cycles clock ticks coefficients column components computation consider convex D-module defined denote dependency graph dependency vectors diagonal diagonalisation domain dynamic programming elements empty example executed Exercise factorisation failed cell finite Gaussian elimination given Givens rotations graph G host implementation init initialisation input integer internal register inverse Kung and Leiserson's LCSS Leiserson linear array LU decomposition MAC cells machine matrix product modify module neighbour non-recursive number of cells obtain OCCAM output palindrome parallel parameters partitioning path performed PFSM pipeline pivot problem processing processor recurrence equations recursive convolution requires result round cell sent sequence shown in Figure solution solve square cells stored string sub-diagonal synchronous circuit systolic algorithms systolic architecture systolic array systolisation theorem tion transitive closure triangular matrix triangular system variable vertex WARP Yves Robert zero