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Stability of a Pivoting Strategy for Parallel Gaussian Elimination

Backward Error of GEPP. Error due to LU Factorization. Theorem. The computed factors ?L, ?U by GEPP satisfy. P(A + ?A) = ?L ?U where. ?A1. A1.



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Backward Error Analysis of GEPP
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GEPP is the most widely used in practice and so we devote most of our analysis to this algorithm. The Method. The instability of Gaussian elimination ...
Systems of Linear Equations - Stat @ Duke
This paper describes the direct solver for general sparse matrices in Watson Sparse. Matrix Package (WSMP). In addition to incorporating the best ideas from ...
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