自共轭半正定紧算子方程简化迭代的误差估计

Error Estimate to the Simplified Iteration for the PositiveSemi-Definite,Compact and Self-Adjoint Operator Equation

对自共轭半正定紧算子方程的简化迭代法进行了研究 ,简化了文 [1]中Landweber迭代序列误差估计定理的条件 ,得到了新的误差估计 ;利用自共轭紧算子特有的特征系统 ,给出了迭代序列误差估计的简化证明 .

The simplified iteration for the positive semi-de finite,compact and self-adjoint operator equation is studied,and the condition of the theorem of error estimate to Landweber iteration array in the reference[1] is simplified.We obtain a new error estimate to Landweber iteration array.At the same time,by using special system of compact and self-adjoint operator—eigen -system the theorem of error estimate to the iteration array has been proved.