caa a22 4500 606167315 CHVBK 20210128100702.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s10665-014-9694-5 doi (NATIONALLICENCE)springer-10.1007/s10665-014-9694-5 Wang Zeng-Qi Department of Mathematics and Ministry of Education Key Lab in Scientific and Engineering Computing, Shanghai Jiaotong University, 800 Dongchuan Road, 200240, Shanghai, People's Republic of China aut Restrictively preconditioned Chebyshev method for solving systems of linear equations [Elektronische Daten] [Zeng-Qi Wang] The restrictive preconditioning technique applied to Chebyshev semi-iterative methods for solving a nonsingular system of linear equations is studied. Motivated by the fact that linear systems involving a preconditioner are solved inexactly at each step, we present the inexact restrictively preconditioned Chebyshev method. The convergence behaviors of the new methods are analyzed, particularly for solving two-by-two block systems. Numerical experiments show that the new methods may be more efficient than the restrictively preconditioned conjugate gradient method in the presence of inexactness. Moreover, the inexact restrictively preconditioned Chebyshev method is a strong competitor to the block upper triangular preconditioned GMRES and flexible GMRES methods for solving generalized saddle point problems. Springer Science+Business Media Dordrecht, 2014 Chebyshev semi-iterative method nationallicence Inexact iteration nationallicence Nonsymmetric linear system nationallicence Restrictive preconditioning nationallicence Journal of Engineering Mathematics Springer Netherlands 93/1(2015-08-01), 61-76 0022-0833 93:1<61 2015 93 10665 https://doi.org/10.1007/s10665-014-9694-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10665-014-9694-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Wang Zeng-Qi Department of Mathematics and Ministry of Education Key Lab in Scientific and Engineering Computing, Shanghai Jiaotong University, 800 Dongchuan Road, 200240, Shanghai, People's Republic of China aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Springer Netherlands 93/1(2015-08-01), 61-76 0022-0833 93:1<61 2015 93 10665