Tikhonov, A. N.; Arsenin, V. Ya. Methods for the solution of ill-posed problems. (Metody resheniya nekorrektnykh zadach). 2nd ed., rev. and suppl. (Russian) Zbl 0499.65030 Moskva: “Nauka”. 286 p. R. 0.80 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 19 ReviewsCited in 242 Documents MSC: 65J10 Numerical solutions to equations with linear operators 65R20 Numerical methods for integral equations 65-02 Research exposition (monographs, survey articles) pertaining to numerical analysis 47A50 Equations and inequalities involving linear operators, with vector unknowns 65F10 Iterative numerical methods for linear systems 45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) Keywords:ill-posed problems; quasireversibility method; regularizing operator; regularized solution; Tikhonov’s regularization method; smoothing functional; regularization parameter; iteration methods; ill-conditioned and degenerate systems; stabilizing functionals; numerical experiments; integral equations of convolution type; Wiener’s optimal filtering; optimal summation methods; variational method Citations:Zbl 0309.65002; Zbl 0201.467; Zbl 0114.297; Zbl 0159.208 PDFBibTeX XML