{"product_id":"iterative-methods-for-ill-posed-problems-an-introduction-9783110250640","title":"Iterative Methods for Ill-Posed Problems: An Introduction","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eIll-posed problems are 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. \u003c\/p\u003e \u003cp\u003eFrequently, 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 will focus on iterative methods for operator equations in Hilbert spaces.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"The book is an introduction to iterative methods for ill-posed problems. The style of writing is very user-friendly, in the best tradition of the Russian mathematical school. It is a valuable addition to the literature of ill-posed problems.\"Anton Suhadolc in: University of Michigan Mathematical Reviews 2012c\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1 Regularity Condition. Newton's Method\u003cbr\u003e2 The Gauss-Newton Method\u003cbr\u003e3 The Gradient Method\u003cbr\u003e4 Tikhonov's Scheme\u003cbr\u003e5 Tikhonov's Scheme for Linear Equations\u003cbr\u003e6 The Gradient Scheme for Linear Equations\u003cbr\u003e7 Convergence Rates for the Approximation Methods in the Case of Linear Irregular Equations\u003cbr\u003e8 Equations with a Convex Discrepancy Functional by Tikhonov's Method\u003cbr\u003e9 Iterative Regularization Principle\u003cbr\u003e10 The Iteratively Regularized Gauss-Newton Method\u003cbr\u003e11 The Stable Gradient Method for Irregular Nonlinear Equations\u003cbr\u003e12 Relative Computational Efficiency of Iteratively Regularized Methods\u003cbr\u003e13 Numerical Investigation of Two-Dimensional Inverse Gravimetry Problem\u003cbr\u003e14 Iteratively Regularized Methods for Inverse Problem in Optical Tomography\u003cbr\u003e15 Feigenbaum's Universality Equation\u003cbr\u003e16 Conclusion\u003cbr\u003eReferences\u003cbr\u003eIndex","brand":"De Gruyter","offers":[{"title":"Default Title","offer_id":53516433817943,"sku":"9783110250640","price":98.32,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/bookcurl.com\/products\/iterative-methods-for-ill-posed-problems-an-introduction-9783110250640","provider":"Book Curl","version":"1.0","type":"link"}