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math.NA2023★ 1 cited
Growth factors of orthogonal matrices and local behavior of Gaussian elimination with partial and complete pivoting
John Peca-Medlin
Gaussian elimination (GE) is the most used dense linear solver. Error analysis of GE with selected pivoting strategies on well-conditioned systems can focus on studying the behavio…
math.NA2023★ 1 cited
Distribution of the number of pivots needed using Gaussian elimination with partial pivoting on random matrices
John Peca-Medlin
Gaussian elimination with partial pivoting (GEPP) is a widely used method to solve dense linear systems. Each GEPP step uses a row transposition pivot movement if needed to ensure…