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Titlebook: Nonsmooth Equations in Optimization; Regularity, Calculus Diethard Klatte,Bernd Kummer Book 2002 Springer Science+Business Media Dordrecht

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發(fā)表于 2025-3-21 19:17:11 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Nonsmooth Equations in Optimization
副標(biāo)題Regularity, Calculus
編輯Diethard Klatte,Bernd Kummer
視頻videohttp://file.papertrans.cn/668/667878/667878.mp4
叢書(shū)名稱Nonconvex Optimization and Its Applications
圖書(shū)封面Titlebook: Nonsmooth Equations in Optimization; Regularity, Calculus Diethard Klatte,Bernd Kummer Book 2002 Springer Science+Business Media Dordrecht
描述Many questions dealing with solvability, stability and solution methods for va- ational inequalities or equilibrium, optimization and complementarity problems lead to the analysis of certain (perturbed) equations. This often requires a - formulation of the initial model being under consideration. Due to the specific of the original problem, the resulting equation is usually either not differ- tiable (even if the data of the original model are smooth), or it does not satisfy the assumptions of the classical implicit function theorem. This phenomenon is the main reason why a considerable analytical inst- ment dealing with generalized equations (i.e., with finding zeros of multivalued mappings) and nonsmooth equations (i.e., the defining functions are not c- tinuously differentiable) has been developed during the last 20 years, and that under very different viewpoints and assumptions. In this theory, the classical hypotheses of convex analysis, in particular, monotonicity and convexity, have been weakened or dropped, and the scope of possible applications seems to be quite large. Briefly, this discipline is often called nonsmooth analysis, sometimes also variational analysis. Our book
出版日期Book 2002
關(guān)鍵詞Approximation; Newton‘s method; applied mathematics; optimization
版次1
doihttps://doi.org/10.1007/b130810
isbn_softcover978-1-4419-5218-9
isbn_ebook978-0-306-47616-7Series ISSN 1571-568X
issn_series 1571-568X
copyrightSpringer Science+Business Media Dordrecht 2002
The information of publication is updating

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Book 2002is theory, the classical hypotheses of convex analysis, in particular, monotonicity and convexity, have been weakened or dropped, and the scope of possible applications seems to be quite large. Briefly, this discipline is often called nonsmooth analysis, sometimes also variational analysis. Our book
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Book 2002problems lead to the analysis of certain (perturbed) equations. This often requires a - formulation of the initial model being under consideration. Due to the specific of the original problem, the resulting equation is usually either not differ- tiable (even if the data of the original model are smo
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1571-568X mentarity problems lead to the analysis of certain (perturbed) equations. This often requires a - formulation of the initial model being under consideration. Due to the specific of the original problem, the resulting equation is usually either not differ- tiable (even if the data of the original mod
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