共轭梯度法解一维参数识别问题

摘要

考虑一维稳态扩散方程反问题，将问题归结为一个非线性不适定问题后，考虑用共轭梯度法解其对应的最小二乘泛函；数值实验显示该方法有良好的恢复效果。%In this paper ,we discuss the compution of the inverse problem of the stead-difusion equation. After reducing the problem to a nonlinear ill-posed operator equation, conjugate gradient method were consid-ered. Numerical exeriments for this method show the obvious advantages of the proposed method.