中文摘要：

不适定问题应用广泛.该文针对自共轭算子方程的特征值是实数的特殊性质,建立了自共轭算子方程不适定问题的复参数迭代算法.证明了算法的正则性,保证解的误差估计达到最优的收敛阶数,并通过数值实验对结论进行了验证.

英文摘要：

Ill-posed problems are used widely.The authors take advantage of the special character of the self-adjoint compact operator equation,establishing its iterative method with complex parameter.Furthermore,they prove the regularization of this method and best orders of convergence.Finally,they examines the result by numerical experiments.