| 书目名称 | Introduction to Piecewise Differentiable Equations |
| 编辑 | Stefan Scholtes |
| 视频video | |
| 概述 | Introduces the theory of piecewise differentiable functions with an emphasis on piecewise differentiable equations Illustrates the relevance of the study via two sample problems |
| 丛书名称 | SpringerBriefs in Optimization |
| 图书封面 |  |
| 描述 | .This brief. .provides an elementary introduction to the theory of piecewise differentiable functions with an emphasis on differentiable equations. In the first chapter, two sample problems are used to motivate the study of this theory. The presentation is then developed using two basic tools for the analysis of piecewise differentiable functions: the Bouligand derivative as the nonsmooth analogue of the classical derivative concept and the theory of piecewise affine functions as the combinatorial tool for the study of this approximation function. In the end, the results are combined to develop inverse and implicit function theorems for piecewise differentiable equations. .This. Introduction to Piecewise Differentiable Equations. will serve graduate students and researchers alike. The reader is assumed to be familiar with basic mathematical analysis and to have some familiarity with polyhedral theory.. |
| 出版日期 | Book 2012 |
| 关键词 | Bouligand derivative; NonSmooth Equations; Polyhedral theory; affine functions; piecewise differentiable |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4614-4340-7 |
| isbn_softcover | 978-1-4614-4339-1 |
| isbn_ebook | 978-1-4614-4340-7Series ISSN 2190-8354 Series E-ISSN 2191-575X |
| issn_series | 2190-8354 |
| copyright | Stefan Scholtes 2012 |
发表于 2025-3-21 19:43:17
