caa a22 4500 445862084 CHVBK 20180317145446.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s10092-010-0037-2 doi (NATIONALLICENCE)springer-10.1007/s10092-010-0037-2 Convergence for nonnegative double splittings ofmatrices [Elektronische Daten] [J. Song, Y. Song] In this paper, we investigate a class of iterative methods for solving linear systems. This iterative method is derived by double splittings of coefficient matrices. On the basis of convergence and comparison theorems for single splittings, we present some convergence and comparison theorems for nonnegative double splittings. The results are applied to the Jacobi double SOR method. Springer-Verlag, 2010 Linear system nationallicence Matrix nationallicence Double splitting nationallicence Jacobi double SOR method nationallicence Convergence nationallicence Comparison nationallicence Song J. Institute of Mathematics, Nanjing Normal University, 210097, Nanjing, PR China aut Song Y. Institute of Mathematics, Nanjing Normal University, 210097, Nanjing, PR China aut Calcolo Springer Milan 48/3(2011-09-01), 245-260 0008-0624 48:3<245 2011 48 10092 https://doi.org/10.1007/s10092-010-0037-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10092-010-0037-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Song J. Institute of Mathematics, Nanjing Normal University, 210097, Nanjing, PR China aut NATIONALLICENCE 700 1- Song Y. Institute of Mathematics, Nanjing Normal University, 210097, Nanjing, PR China aut NATIONALLICENCE 773 0- Calcolo Springer Milan 48/3(2011-09-01), 245-260 0008-0624 48:3<245 2011 48 10092 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer