本书介绍非线性数值分析的理论和方法，如Newton型方法，同伦延拓法，带参数的非线性问题的解法，不适定问题的数值解法。-This book describes the theory and numerical analysis of nonlinear methods, such as Newton-type method, homotopy continuation method, with the parameters of the solution of nonlinear problem

贝叶斯正则化求解线性方程组的解,对于不适定问题也可以求解-baysian regulation application in solving ill-posed linear equations

属于地球物理反演。不适定问题求解方法一，Phillips光滑化方法。（有图像）-Form"A Technique for the Numerical Solution of Certain Integral Equation of First Kind."

正则化学习机，通过对学习过程施加光滑约束，将不适定学习问题转化为适定学习问题，从而避免伪逆的数值不稳定性。(Regularized Extreme Learning Machine)