求解黑体辐射反演问题的改进CD共轭梯度法

摘要

为了求解黑体辐射反演问题,提出了一种基于经典的共轭梯度法的改进CD共轭梯度算法.通过正则化方法,将不适定的Fredholm方程问题转换为一个良态的目标函数的最小化求解问题.在Wolfe线搜索条件下,证明了该算法的收敛性.数值实验表明,该算法是有效的.%In order to solve the problem of black body radiation inversion, an improved CD conjugate gradient algorithm is proposed in this paper based on the classical CD conjugate gradient method.The ill posed Fredholm equation problem is transformed to a perfect objective function minimization problem by regularization method.The convergence of the algorithm is proved under the conditions of Wolfe line search.Numerical experiments show that the algorithm is effective.