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math.PR2024
On the longest increasing subsequence and number of cycles of butterfly permutations
John Peca-Medlin, Chenyang Zhong
One method to generate random permutations involves using Gaussian elimination with partial pivoting (GEPP) on a random matrix and storing the permutation matrix factor fro…
math.NA2024
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…