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- W2021762783 abstract "Abstract Two very general, fast and simple iterative methods were proposed by Bosma and de Rooij (Bosma, P. B., de Rooij, W. A. (1983). Efficient methods to calculate Chandrasekhar's H functions. Astron. Astrophys. 126:283–292.) to determine Chandrasekhar's H-functions. The methods are based on the use of the equation where is a nonlinear map from Rn to Rn . Here , One such method is essentially a nonlinear Gauss-Seidel iteration with respect to [Ftilde]. The other ingenious approach is to normalize each iterate after a nonlinear Gauss-Jacobi iteration with respect to [Ftilde] is taken. The purpose of this article is two-fold. First, we prove that both methods converge locally. Moreover, the convergence rate of the second iterative method is shown to be strictly less than . Second, we show that both the Gauss-Jacobi method and Gauss-Seidel method with respect to some other known alternative forms of the Chandrasekhar's H-functions either do not converge or essentially stall for c = 1." @default.
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- W2021762783 date "2003-01-12" @default.
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- W2021762783 title "Spectral Analysis of Some Iterations in the Chandrasekhar's H-Functions" @default.
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- W2021762783 doi "https://doi.org/10.1081/nfa-120023909" @default.
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