Lehmann bounds and eigenvalue error estimation The paper investigates the properties of Lehmann’s optimal bounds for eigenvalues of Hermitian problems in order to find a way to efficiently use them for eigenvalue error estimation. A practical error estimation scheme is described that can be employed in the framework of a subspace iteration algorithm and is actually implemented by the HSL-ea19 software package from the HSL Mathematical Software Library of Rutherford Appleton Laboratory.
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References in zbMATH (referenced in 2 articles )
Showing results 1 to 2 of 2.
- Cai, Yunfeng; Bai, Zhaojun; Pask, John E.; Sukumar, N.: Hybrid preconditioning for iterative diagonalization of ill-conditioned generalized eigenvalue problems in electronic structure calculations (2013)
- Ovtchinnikov, E.E.: Lehmann bounds and eigenvalue error estimation (2011)