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This CPS615 module covers basic full matrix parallel algorithms with a discussion of matrix multiplication, LU decomposition with latter covered for banded as well as true full case
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Matrix multiplication covers the approach given in "Solving Problems on Concurrent Processors" as well as Cannon's algorithm.
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We review those applications -- especially Computational electromagnetics and Chemistry -- where full matrices are commonly used
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Of course sparse matrices are far more important than full matrices!
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