A sufficient condition for global convergence of Gauss-Seidel iteration on the nonlinear equations from double-exponential Sinc-collocation for ODE IVPs is derived, along with an upper bound on its convergence factor.
and Murota, K.,Mathematics of Numerical Linear Algebra(in Japanese), Iwanami-Shoten, Tokyo
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On solving nonlinear simultaneous equations arising from the double-exponential Sinc-collocation method for initial value problems
A sufficient condition for global convergence of Gauss-Seidel iteration on the nonlinear equations from double-exponential Sinc-collocation for ODE IVPs is derived, along with an upper bound on its convergence factor.