Numerical Methods For The Solution Of Ill-Posed Problems Book

	Preface to the English edition
	Introduction	1
Ch. 1	Regularization methods	7
1	Statement of the problem. The smoothing functional	7
2	Choice of the regularization parameter	8
3	Equivalence of the generalized discrepancy principle and the generalized discrepancy method	16
4	The generalized discrepancy and its properties	19
5	Finite-dimensional approximation of ill-posed problems	28
6	Numerical methods for solving certain problems of linear algebra	32
7	Equations of convolution type	34
8	Nonlinear ill-posed problems	45
9	Incompatible ill-posed problems	52
Ch. 2	Numerical methods for the approximate solution of ill-posed problems on compact sets	65
1	Approximate solution of ill-posed problems on compact sets	66
2	Some theorems regarding uniform approximation to the exact solution of ill-posed problems	67
3	Some theorems about convex polyhedra in R[superscript n]	70
4	The solution of ill-posed problems on sets of convex functions	75
5	Uniform convergence of approximate solutions of bounded variation	76