Analysis of the convergence of curvature in two roll straightening;

On convergence of formula for forward problem in brain physics;

Mutation and convergence in evolutionary programming;

Algorithm reducing BGP convergence time based on contrast damping;

Generally,it will converge after iterating 3～6 times,even though the initial value of the temperature is tens or hundreds degrees away from the real value.

Then it is proved that the satisfying consistent matrix is existent and this new method converges well.

The Conditions of lim f(x) = 0 When f(x) x→+∞ convergents integral from n=α to +∞(f(x)dx);

The convergence setfora complex series on the convergent bound;

Within the restricted scope, the infinite power series is convergent and the formula is workable.

On the basis of this, it, by directly using the covergence of power series, points out a brief proof analysis property of sumfaction of power series in covergence region and gives some examples to show its practicability.

A criterion for divergence of iteration is given and the covergence speed and covergence acceleration for iteration with multiple root are investigated.

The relation between the ordered Series of {an} and {a1+a2+…+an/n} has been explored,so does the constringency of the two ordered series of Numbers.

Elaborate a basic theory of calculating group of linear equation by iteration method, reforming Jacobi iteration method, raising constringency rate.