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Iterative Methods without Inversion (Chapman & Hall/CRC Monographs and Research Notes in Mathematics) by Anatoly Galperin is a nonfiction available to read on EtoBox.

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'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). 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

Who reads Iterative Methods without Inversion (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)?

Author

Anatoly Galperin

Publisher

CRC Press;Chapman and Hall/CRC

Published

2017

Language

EN

ISBN

9781498758963

Category

nonfiction

Subjects

Mathematics, Stem