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math.NA2022
Adaptive cross approximation for Tikhonov regularization in general form
Thomas Mach, Lothar Reichel, Marc Van Barel
Many problems in Science and Engineering give rise to linear integral equations of the first kind with a smooth kernel. Discretization of the integral operator yields a matrix, who…
math.NA2020
Continuous Adaptive Cross Approximation for Ill-posed Problems with Chebfun
Abdulaziz Alqahtani, Thomas Mach, Lothar Reichel
The analysis of linear ill-posed problems often is carried out in function spaces using tools from functional analysis. However, the numerical solution of these problems typically…
math.NA2019
Pole-swapping algorithms for alternating and palindromic eigenvalue problems
Thomas Mach, Thijs Steel, Raf Vandebril +1
Pole-swapping algorithms are generalizations of bulge-chasing algorithms for the generalized eigenvalue problem. Structure-preserving pole-swapping algorithms for the palindromic a…