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\iteman{io-port 00844029}
\itemau{Vasin, V.V.; Ageev, A.L.}
\itemti{Ill-posed problems with a priori information.}
\itemso{Inverse and Ill-posed Problems Series. Utrecht: VSP. ix, 255 p. DM 206.00; \$ 134.00 (1995).}
\itemab
The book contains many new problem settings and results concerning linear and nonlinear ill-posed problems, e.g.: iteration methods based on certain quasi-non-expansive mappings (weak and strong convergence), prox-algorithm for minimization of functionals, Fej\'er processes, Mann processes, iterative regularization in partially ordered spaces, Gauss-Newton method; determination of a basis of the eigenspace of a linear operator corresponding to a non-isolated eigenvalue; solution of ill-posed moment problems; finite-dimensional approximation of regularized problems (the analysis is based on the discrete approximation theory by F. Stummel); self-regularization by discretization. A lot of numerical examples is presented, too.
\itemrv{G.Vainikko (Espoo)}
\itemcc{}
\itemut{weak and strong convergence; linear; nonlinear; ill-posed problems; iteration methods; quasi-non-expansive mappings; prox-algorithm; Fej\'er processes; Mann processes; iterative regularization; partially ordered spaces; Gauss-Newton method; ill-posed moment problems; self-regularization; discretization; numerical examples}
\itemli{}
\end