ON　THE　CONVERGENCE　OF　SPLITTINGS　FOR　A　Z-MATRIX  

作　　者：LI WEN 

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》1997年第1期89-98,共10页高校应用数学学报（英文版）（B辑）

摘　　要：In this paper, first we present a characterization of semiconvergence for nonnegative splittings of a singular Z matrix, which generalizes the corresponding result of . Second, a characterization of convergence for L 1 regular splittings of a singular Z matrix is given, which improve the result of . Third, convergence of weak nonnegative splittings and regular splittings is discussed, and we obtain some necessary and sufficient conditions such that the splittings of a Z matrix converge.In this paper, first we present a characterization of semiconvergence for nonnegative splittings of a singular Z matrix, which generalizes the corresponding result of . Second, a characterization of convergence for L 1 regular splittings of a singular Z matrix is given, which improve the result of . Third, convergence of weak nonnegative splittings and regular splittings is discussed, and we obtain some necessary and sufficient conditions such that the splittings of a Z matrix converge.

分 类 号：O151.21[理学—数学]