Zeroing Dynamics, Gradient Dynamics, and Newton Iterations
暫譯: 零動力學、梯度動力學與牛頓迭代法

Zhang, Yunong, Xiao, Lin, Xiao, Zhengli

Zeroing Dynamics, Gradient Dynamics, and Newton Iterations
  • 出版商: CRC
  • 出版日期: 2026-04-13
  • 售價: $2,430
  • 貴賓價: 9.5 折 $2,308
  • 語言: 英文
  • 頁數: 310
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 1138894087
  • ISBN-13: 9781138894082
  • 相關分類: 數值分析 Numerical-analysis

    • 海外代購書籍(需單獨結帳)

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商品描述

Neural networks and neural dynamics are powerful approaches for the online solution of mathematical problems arising in many areas of science, engineering, and business. Compared with conventional gradient neural networks that only deal with static problems of constant coefficient matrices and vectors, the authors' new method called zeroing dynamics solves time-varying problems.

Zeroing Dynamics, Gradient Dynamics, and Newton Iterations is the first book that shows how to accurately and efficiently solve time-varying problems in real-time or online using continuous- or discrete-time zeroing dynamics. The book brings together research in the developing fields of neural networks, neural dynamics, computer mathematics, numerical algorithms, time-varying computation and optimization, simulation and modeling, analog and digital hardware, and fractals.

The authors provide a comprehensive treatment of the theory of both static and dynamic neural networks. Readers will discover how novel theoretical results have been successfully applied to many practical problems. The authors develop, analyze, model, simulate, and compare zeroing dynamics models for the online solution of numerous time-varying problems, such as root finding, nonlinear equation solving, matrix inversion, matrix square root finding, quadratic optimization, and inequality solving.

商品描述(中文翻譯)

神經網絡和神經動力學是解決科學、工程和商業中出現的數學問題的強大方法。與僅處理常數係數矩陣和向量的靜態問題的傳統梯度神經網絡相比，作者提出的新方法稱為零化動力學，能夠解決時間變化的問題。

《零化動力學、梯度動力學與牛頓迭代》是第一本展示如何使用連續或離散時間的零化動力學準確且高效地在線或實時解決時間變化問題的書籍。這本書匯集了神經網絡、神經動力學、計算數學、數值算法、時間變化計算與優化、模擬與建模、類比與數位硬體以及分形等新興領域的研究。

作者對靜態和動態神經網絡的理論進行了全面的探討。讀者將發現新穎的理論結果如何成功應用於許多實際問題。作者開發、分析、建模、模擬並比較零化動力學模型，以在線解決多種時間變化問題，例如根尋找、非線性方程求解、矩陣反演、矩陣平方根尋找、二次優化和不等式求解。

作者簡介

Yunong Zhang is a professor in the School of Information Science and Technology at Sun Yat-sen University. He is also with the SYSU-CMU Shunde International Joint Research Institute for cooperative research. He has published more than 375 scientific works of various types and has been a winner of the Best Paper Award of ISSCAA and the Best Paper Award of ICAL. He was among the 2014 Highly Cited Scholars of China. His main research interests include neural networks, robotics, computation, and optimization. He earned a PhD from the Chinese University of Hong Kong.

Lin Xiao is a lecturer in the College of Information Science and Engineering at Jishou University. His current research interests include neural networks, intelligent information processing, robotics, and related areas. He earned a PhD from Sun Yat-sen University.

Zhengli Xiao is currently pursuing an MS in the Department of Computer Science in the School of Information Science and Technology at Sun Yat-sen University. He is also with the SYSU-CMU Shunde International Joint Research Institute for cooperative research. His current research interests include neural networks, intelligent information processing, and learning machines. He earned a BS in software engineering from Changchun University of Science and Technology.

Mingzhi Mao is an associate professor in the School of Information Science and Technology at Sun Yat-sen University. His main research interests include intelligence algorithms, software engineering, and management information systems. He earned a PhD from the Department of Computer Science at Sun Yat-sen University.

作者簡介(中文翻譯)

張宇農是中山大學資訊科學與技術學院的教授。他同時也是中山大學-卡內基梅隆大學順德國際聯合研究院的成員，進行合作研究。他已發表超過375篇各類型的科學著作，並曾獲得ISSCAA最佳論文獎和ICAL最佳論文獎。他是2014年中國高被引學者之一。他的主要研究興趣包括神經網絡、機器人技術、計算和優化。他在香港中文大學獲得博士學位。

林曉是吉首大學資訊科學與工程學院的講師。他目前的研究興趣包括神經網絡、智能信息處理、機器人技術及相關領域。他在中山大學獲得博士學位。

蕭正理目前在中山大學資訊科學與技術學院的計算機科學系攻讀碩士學位。他同時也是中山大學-卡內基梅隆大學順德國際聯合研究院的成員，進行合作研究。他目前的研究興趣包括神經網絡、智能信息處理和學習機器。他在長春科技大學獲得軟體工程學士學位。

毛明志是中山大學資訊科學與技術學院的副教授。他的主要研究興趣包括智能算法、軟體工程和管理信息系統。他在中山大學計算機科學系獲得博士學位。

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