| 书目名称 | Nonsmooth Vector Functions and Continuous Optimization | | 编辑 | V. Jeyakumar,D.T. LUC | | 视频video | | | 概述 | Based on major original contributions of the authors to the research area.No other recent monograph in nonsmooth analysis is devoted to vector-valued maps, a growing area of research | | 丛书名称 | Springer Optimization and Its Applications | | 图书封面 |  | | 描述 | .A recent significant innovation in mathematical sciences has been the progressive use of nonsmooth calculus, an extension of the differential calculus, as a key tool of modern analysis in many areas of mathematics, operations research, and engineering. Focusing on the study of nonsmooth vector functions, this book presents a comprehensive account of the calculus of generalized Jacobian matrices and their applications to continuous nonsmooth optimization problems and variational inequalities in finite dimensions...The treatment is motivated by a desire to expose an elementary approach to nonsmooth calculus by using a set of matrices to replace the nonexistent Jacobian matrix of a continuous vector function. Such a set of matrices forms a new generalized Jacobian, called pseudo-Jacobian. A direct extension of the classical derivative that follows simple rules of calculus, the pseudo-Jacobian provides an axiomatic approach to nonsmooth calculus, a flexible tool for handling nonsmooth continuous optimization problems...Illustrated by numerous examples of known generalized derivatives, the work may serve as a valuable reference for graduate students, researchers, and applied mathematic | | 出版日期 | Book 2008 | | 关键词 | Derivative; Minimum; Operations Research; Operator; SOIA; calculus; differential equation; mathematical pro | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-387-73717-1 | | isbn_softcover | 978-1-4419-4472-6 | | isbn_ebook | 978-0-387-73717-1Series ISSN 1931-6828 Series E-ISSN 1931-6836 | | issn_series | 1931-6828 | | copyright | Springer-Verlag US 2008 |
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发表于 2025-3-21 17:08:02
