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math.NA2026
Complete pivoting growth of butterfly matrices and butterfly Hadamard matrices
John Peca-Medlin
The growth problem in Gaussian elimination (GE) remains a foundational question in numerical analysis and numerical linear algebra. Wilkinson resolved the growth problem in GE with…
math.NA2024
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…