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Mapping Logical Memory to Physical Memory

  In Section 5, a logical (or virtual) matrix decomposition was described in which the global index (m,n) is mapped to a position, (p,q), in a logical process template, a position, (b,d), in a logical array of blocks local to the process, and a position, (i,j), in a logical array of matrix elements local to the block. Thus, the block cyclic decomposition is hierarchical, and attempts to represent the hierarchical memory of advanced-architecture computers. Although the parallel LU factorization algorithm can be specified solely in terms of this logical hierarchical memory, its performance depends on how the logical memory is mapped to physical memory.

Jack Dongarra
Sun Feb 9 10:05:05 EST 1997