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Extending Elman's Bound for GMRES

By Mark Embree
If the numerical range of a matrix is contained in the right half-plane, the GMRES algorithm for solving linear systems will make progress at every iteration. In his Ph.D. dissertation, Howard Elman derived a bound that guarantees convergence. When all eigenvalues are in the right half-plane but the numerical range... Show more
December 22, 2023
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Extending Elman's Bound for GMRES
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