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计算数学 1981
A PARALLEL SECANT METHOD FOR SOLVING TRANSCENDENTAL EQUATION
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Abstract:
In order to solve approximately the transcendental equation: f(x)= 0,an iteration method is presented with the following formula: y_(n+1)= x_n-f(x_n)/f(x_n,x_(n-1)), x_(n+1)= y_(n+1)-f(y_(n+1))/f(x_n,x_(n-1)),where f(x_n,x_(n-1))=f(x_n)-f(x_(n-1))]/x_n-x_(n-1)]. This method, which is called parallel secant method, provides the second order con-vergent speed as that of Newton-Raphson method and is better than the Muller methodused for iterations.