Iterative Methods and Their Dynamics with Applications: A Contemporary Study
暫譯: 迭代方法及其動態應用:當代研究

Ioannis Konstantinos Argyros, Angel Alberto Magreñán

  • 出版商: CRC
  • 出版日期: 2017-02-13
  • 售價: $7,400
  • 貴賓價: 9.5$7,030
  • 語言: 英文
  • 頁數: 365
  • 裝訂: Hardcover
  • ISBN: 149876360X
  • ISBN-13: 9781498763608
  • 海外代購書籍(需單獨結帳)

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商品描述

Iterative processes are the tools used to generate sequences approximating solutions of equations describing real life problems. Intended for researchers in computational sciences and as a reference book for advanced computational method in nonlinear analysis, this book is a collection of the recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces and presents several applications and connections with fixed point theory. It contains an abundant and updated bibliography and provides comparisons between various investigations made in recent years in the field of computational nonlinear analysis.

The book also provides recent advancements in the study of iterative procedures and can be used as a source to obtain the proper method to use in order to solve a problem. The book assumes a basic background in Mathematical Statistics, Linear Algebra and Numerical Analysis and may be used as a self-study reference or as a supplementary text for an advanced course in Biosciences or Applied Sciences. Moreover, the newest techniques used to study the dynamics of iterative methods are described and used in the book and they are compared with the classical ones.

商品描述(中文翻譯)

迭代過程是用來生成近似解的序列的工具,這些解描述了現實生活中的問題。這本書旨在為計算科學的研究人員提供參考,並作為非線性分析中高級計算方法的參考書,收錄了有關數值算法在有限維和無限維空間中收斂分析的最新結果,並展示了幾個應用及其與不動點理論的聯繫。書中包含豐富且更新的參考文獻,並提供了對近年來在計算非線性分析領域進行的各種研究的比較。

本書還提供了迭代程序研究的最新進展,可以作為獲取解決問題所需適當方法的來源。書中假設讀者具備數學統計、線性代數和數值分析的基本背景,並可用作自學參考或作為生物科學或應用科學高級課程的補充教材。此外,書中描述並使用了研究迭代方法動態的最新技術,並將其與傳統技術進行比較。