The following papers deal with parallel algorithms for the LU decomposition of full matrices, and contain useful references to other work.
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G. A. Geist and M. T. Heath, 1986, "Matrix Factorization on a Hypercube Multiprocessor," in Hypercube Multiprocessors 1986, published by SIAM Press, Philadelphia.
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E. Chu and A. George, 1987, "Gaussian Elimination with Partial Pivoting and Load Balancing on a Multiprocessor," Parallel Computing, 5:65.
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See also: Fox, Johnson, Lyzenga, Otto, Salmon and Walker, "Solving Problems on Concurrent Processors", Vol. 1, 1988,
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