Iterative Methods without Inversion is popular PDF and ePub book, written by Anatoly Galperin in 2016-11-17, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Iterative Methods without Inversion can be Read Online from any device for your convenience.
Iterative Methods without Inversion Book PDF Summary
Iterative Methods without Inversion presents the iterative methods for solving operator equations f(x) = 0 in Banach and/or Hilbert spaces. It covers methods that do not require inversions of f (or solving linearized subproblems). The typical representatives of the class of methods discussed are Ulm’s and Broyden’s methods. Convergence analyses of the methods considered are based on Kantorovich’s majorization principle which avoids unnecessary simplifying assumptions like differentiability of the operator or solvability of the equation. These analyses are carried out under a more general assumption about degree of continuity of the operator than traditional Lipschitz continuity: regular continuity. Key Features The methods discussed are analyzed under the assumption of regular continuity of divided difference operator, which is more general and more flexible than the traditional Lipschitz continuity. An attention is given to criterions for comparison of merits of various methods and to the related concept of optimality of a method of certain class. Many publications on methods for solving nonlinear operator equations discuss methods that involve inversion of linearization of the operator, which task is highly problematic in infinite dimensions. Accessible for anyone with minimal exposure to nonlinear functional analysis.
Detail Book of Iterative Methods without Inversion PDF
- Author : Anatoly Galperin
- Release : 17 November 2016
- Publisher : CRC Press
- ISBN : 9781315350745
- Genre : Mathematics
- Total Page : 143 pages
- Language : English
- PDF File Size : 21,9 Mb
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