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Iterative Methods without Inversion
ISBN-13:
9781315350745
Veröffentl:
2016
Seiten:
240
Autor:
Anatoly Galperin
eBook Typ:
EPUB
eBook Format:
EPUB
Kopierschutz:
2 - DRM Adobe
Sprache:
Englisch
Beschreibung:
This book is about iterative methods for solving operator equations f(x) = 0 in Banach and/or Hilbert spaces. Its subject are 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 allows to avoid 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.
Introduction. Some useful tools of the trade. Ulm's method. Ulm's method without derivatives. Broyden's method. Optimal secantupdates
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