caa a22 4500 606167358 CHVBK 20210128100702.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s10665-013-9674-1 doi (NATIONALLICENCE)springer-10.1007/s10665-013-9674-1 Inexact rotated block triangular preconditioners for a class of block two-by-two matrices [Elektronische Daten] [Chao Lang, Zhi-Ru Ren] Based on rotated block triangular preconditioners proposed by Bai in (Sci China Math 56, 2013), we give a class of inexact rotated block triangular preconditioners for block two-by-two matrices of real square blocks $$W$$ W and $$T$$ T , which avoid inversion of the matrix $$\alpha W+T$$ α W + T exactly at each step of solving the linear systems. The spectral properties of the corresponding preconditioned matrices are analyzed. Numerical results show that these inexact rotated block triangular preconditioners are more effective than the exact ones when they are used to accelerate Krylov subspace iteration methods for solving block two-by-two linear systems. Springer Science+Business Media Dordrecht, 2013 Block two-by-two matrix nationallicence Block triangular preconditioning nationallicence Inexact preconditioning nationallicence Incomplete factorization nationallicence Lang Chao State Key Laboratory of Scientific/Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, P. O. Box 2719, 100190, Beijing, People's Republic of China aut Ren Zhi-Ru State Key Laboratory of Scientific/Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, P. O. Box 2719, 100190, Beijing, People's Republic of China aut Journal of Engineering Mathematics Springer Netherlands 93/1(2015-08-01), 87-98 0022-0833 93:1<87 2015 93 10665 https://doi.org/10.1007/s10665-013-9674-1 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/s10665-013-9674-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lang Chao State Key Laboratory of Scientific/Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, P. O. Box 2719, 100190, Beijing, People's Republic of China aut NATIONALLICENCE 700 1- Ren Zhi-Ru State Key Laboratory of Scientific/Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, P. O. Box 2719, 100190, Beijing, People's Republic of China aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Springer Netherlands 93/1(2015-08-01), 87-98 0022-0833 93:1<87 2015 93 10665