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Ill-posed problemsare encountered in countless areas of real world science and technology. A variety of processes in science and engineering is commonly modeled by algebraic, differential, integral and other equations. In a more difficult case, it can be systems of equations combined with the associated initial and boundary conditions.

Frequently, the study of applied optimization problems is also reduced to solving the corresponding equations.These equations, encountered both in theoretical and applied areas, may naturally be classified as operator equations. The current textbook...

This specialized and authoritative book presents the state of the art on iterative algorithms and methods for the regularization of a variety of ill-posed problems. Topics covered include iterative regularization of linear and nonlinear operator equations in Hilbert and Banach spaces, regularization of ill-posed Cauchy problems for operator differential equations, and regularization of nonlinear variational inequalities and optimization problems.