Hochstenbach, Michiel E.; Notay, Yvan Controlling inner iterations in the Jacobi-Davidson method. (English) Zbl 1191.65032 SIAM J. Matrix Anal. Appl. 31, No. 2, 460-477 (2009). The Jacobi-Davidson method is an eigenvalue solver which uses an inner-outer scheme. In the outer iteration one tries to approximate an eigenpair while in the inner iteration a linear system has to be solved, often iteratively, with the ultimate goal to make progress for the outer loop.This paper shows a relation between the residual norm of the inner linear system and the residual norm of the eigenvalue problem. Reviewer: Jinhai Chen (Hongkong) Cited in 15 Documents MSC: 65F15 Numerical computation of eigenvalues and eigenvectors of matrices Keywords:eigenvalue; Jacobi-Davidson method; inverse iteration; Rayleigh quotient iteration; correction equation; subspace expansion; inner iterations Software:JDQZ; JADAMILU; QMRPACK; JDQR; JDCG PDFBibTeX XMLCite \textit{M. E. Hochstenbach} and \textit{Y. Notay}, SIAM J. Matrix Anal. Appl. 31, No. 2, 460--477 (2009; Zbl 1191.65032) Full Text: DOI