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ON THE CONVERGENCE OF SPLITTINGS FOR A Z-MATRIX

ON THE CONVERGENCE OF SPLITTINGS FOR A Z MATRIX
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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.
作者 LI WEN
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 1997年第1期89-98,共10页 高校应用数学学报(英文版)(B辑)
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