Second-Order Variational Analysis in Optimization, Variational Stability, and Control: Theory, Algorithms, Applications

Mordukhovich, Boris S.

Second-Order Variational Analysis in Optimization, Variational Stability, and Control: Theory, Algorithms, Applications
  • 出版商: Springer
  • 出版日期: 2024-05-22
  • 售價: $7,060
  • 貴賓價: 9.5 折 $6,707
  • 語言: 英文
  • 頁數: 789
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3031534751
  • ISBN-13: 9783031534751
  • 相關分類: Algorithms-data-structures

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商品描述

first monograph entirely devoted to the rapidly developing area of second-order variational analysis and its applications to optimization, equilibria, stability, control, mechanics, and social-economic modeling.
includes recent results
contains a substantial number of exercises at various levels of difficulties with solution hints for more challenging ones
formulate open questions and conjectures together with extended commentaries and a large reference list at end of each chapter
comprehensive, systematically developed and entirely self-contained

商品描述(中文翻譯)

這是第一本完全專注於快速發展的二階變分分析及其在優化、均衡、穩定性、控制、力學和社會經濟建模等領域的應用的專著。本書包含最新的研究成果，並提供大量不同難度的練習題，對於較具挑戰性的題目也提供解答提示。每章結尾還提供了開放性問題和猜想，以及詳細的評論和大量的參考文獻列表。本書內容全面、系統化，並完全自成一體。

作者簡介

Boris S. Mordukhovich is Distinguished Professor of Mathematics at Wayne State University. He has more than 500 publications including several monographs. Among his best known achievements are the introduction and development of powerful constructions of generalized differentiation and their applications to broad classes of problems in variational analysis, optimization, equilibrium, control, economics, engineering, and other fields. Mordukhovich is a SIAM Fellow, an AMS Fellow, and a recipient of many international awards and honors including Doctor Honoris Causa degrees from six universities over the world. He is a Highly Cited Researcher in Mathematics. His research has been supported by continued grants from the National Science Foundations and the Air Force Office of Scientific Research.

作者簡介(中文翻譯)

Boris S. Mordukhovich 是韋恩州立大學的傑出數學教授。他發表了500多篇論文，其中包括幾本專著。他最著名的成就之一是引入和發展了強大的廣義微分構造，並將其應用於變分分析、最佳化、均衡、控制、經濟學、工程學和其他領域的廣泛問題。Mordukhovich是SIAM Fellow、AMS Fellow，並獲得了許多國際獎項和榮譽，包括來自世界各地的六所大學頒發的名譽博士學位。他是數學領域的高被引研究者。他的研究得到了美國國家科學基金會和空軍科學研究局的持續資助。

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