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math.NA2025
The Akhiezer iteration and inverse-free solvers for Sylvester matrix equations
Cade Ballew, Thomas Trogdon, Heather Wilber
Two inverse-free iterative methods are developed for solving Sylvester matrix equations when the spectra of the coefficient matrices are on, or near, known disjoint subintervals of…
math.NA2024
The Akhiezer iteration
Cade Ballew, Thomas Trogdon
We develop the Akhiezer iteration, a generalization of the classical Chebyshev iteration, for the inner product-free, iterative solution of indefinite linear systems using orthogon…