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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Iterative Methods without Inversion

Iterative Methods without Inversion

Galperin, Anatoly

Hardcover

Series: Chapman & Hall/CRC Monographs and Research Notes in Mathemat

General Mathematics

ISBN10: 1498758924
ISBN13: 9781498758925
Publisher: CRC Press
Published: Sep 15 2016
Pages: 230
Weight: 1.00
Height: 0.70 Width: 6.20 Depth: 9.10
Language: English

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.

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