Li Gong
Abstract
The ill posedness of solving the first kind of Fredholm integral equations is investigated. Applying suitable regularizing filters, a modified Tikhonov regularization method is established,and the asymptotic convergence rate of the regularized solution is obtained by choosing regularization parameters appropriately.
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The ill posedness of solving the first kind of Fredholm integral equations is investigated. Applying suitable regularizing filters, a modified Tikhonov regularization method is established,and the asymptotic convergence rate of the regularized solution is obtained by choosing regularization parameters appropriately.
Key concepts: Tikhonov regularization, Fredholm integral equation, Regularization (linguistics), Mathematics, Integral equation, Fredholm theory, Backus–Gilbert method, Applied mathematics