Lybrary.com: ebooks and download videos Search All  Title  Author 
Home / Nonfiction / Mathematics / Number Systems

Iterative Methods without Inversion

$129.95
| £105.11 | €124.28 | Ca$176.34 | Au$178.44
by Anatoly Galperin
What is this?DRM-PDF | by download   add to wish list
Iterative Methods without Inversion by Anatoly Galperin

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.

To view this DRM protected ebook on your desktop or laptop you will need to have Adobe Digital Editions installed. It is a free software. We also strongly recommend that you sign up for an AdobeID at the Adobe website. For more details please see FAQ 1&2. To view this ebook on an iPhone, iPad or Android mobile device you will need the Adobe Digital Editions app, or BlueFire Reader or Txtr app. These are free, too. For more details see this article.


SHARE  Share by Email  Share on Facebook  Share on Twitter  Share on Linked In  Share on Delicious
or call in the US toll free 1-888-866-9150 product ID: 889961

Ebook Details
Pages: 240
Size: 4.3 MB
Publisher: Chapman and Hall/CRC
Date published:   2016
ISBN: 9781498758963 (DRM-PDF)

DRM Settings
Copying:not allowed
Printing:not allowed
Read Aloud:  not allowed

This product is listed in the following categories:

Nonfiction > Mathematics > Applied
Nonfiction > Mathematics > Functional Analysis
Nonfiction > Mathematics > Number Systems

If you find anything wrong with this product listing, perhaps the description is wrong, the author is incorrect, or it is listed in the wrong category, then please contact us. We will promptly address your feedback.

Submit 5 page SummaryWhat is this?

12/07/2016
© 2016 Lybrary.com