Global Damping Algorithm For Nonlinear Equations And The Design And Application Of The Wavelet Filter

How to solve the nonlinear equations is one of the basic problems of com-putational mathematics, therefore, On the basis of Newton method, the paper introduces Random Newton Flow Algorithm and Global Damping Algorith-m for Nonlinear Equations. And for solving the problem of odd surface in Random Newton Flow Algorithm, we put forward the Global Damping flow W(x) instead the Newton Flow V(x), thereby, bring about a wide range of convergence. But it takes too much time. Therefore, in the paper, we will use Samaskii skill and Generalized minimal residual to solve a high-dimensional equation, the time can be reduced greatly. The second part of this paper, the Global Damping flow will apply of multi-band wavelet to solve the quadratic e-quations, and calculate two examples about four-band wavelets and eight-band biorthogonal wavelets to verify the effectiveness of the algorithm.