In this paper,a new class of improved regularization methods,called modified Tikhonovregularization(MTR)for solving ill-posed problems of the first kind of operator equation with noisydata is constructed.By a priori c...In this paper,a new class of improved regularization methods,called modified Tikhonovregularization(MTR)for solving ill-posed problems of the first kind of operator equation with noisydata is constructed.By a priori choosing regularization parameter,optimal convergence order of theregularized solution is obtained.As compared with ordinary Tikhonoy regularization(OTR),thisnew scheme can achieve higher optimum asymptotic order of the regularized solution by selecting anauxiliary parameter.展开更多
文摘In this paper,a new class of improved regularization methods,called modified Tikhonovregularization(MTR)for solving ill-posed problems of the first kind of operator equation with noisydata is constructed.By a priori choosing regularization parameter,optimal convergence order of theregularized solution is obtained.As compared with ordinary Tikhonoy regularization(OTR),thisnew scheme can achieve higher optimum asymptotic order of the regularized solution by selecting anauxiliary parameter.
