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Titlebook: Introduction to Methods for Nonlinear Optimization; Luigi Grippo,Marco Sciandrone Textbook 2023 Springer Nature Switzerland AG 2023 Optimi

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发表于 2025-3-21 16:30:18 | 显示全部楼层 |阅读模式
书目名称Introduction to Methods for Nonlinear Optimization
编辑Luigi Grippo,Marco Sciandrone
视频video
概述Can be used at both the undergraduate and graduate level.Organizes several key topics into teaching units.Offers novel topics in nonlinear optimization
丛书名称UNITEXT
图书封面Titlebook: Introduction to Methods for Nonlinear Optimization;  Luigi Grippo,Marco Sciandrone Textbook 2023 Springer Nature Switzerland AG 2023 Optimi
描述.This book has two main objectives:. •  to provide a concise introduction to nonlinear optimization methods, which can be used as a textbook at a graduate or upper undergraduate level;. •  to collect and organize selected important topics on optimization algorithms, not easily found in textbooks, which can provide material for advanced courses or can serve as a reference text for self-study and research.. The basic material on unconstrained and constrained optimization is organized into two blocks of chapters: . •   basic theory and optimality conditions. •   unconstrained and constrained algorithms.. These topics are treated in short chapters that contain the most important results in theory  and algorithms, in a way that, in the authors’ experience, is suitable for introductory courses.  . A third block of chapters addresses methods that are of increasing interest for solving difficult optimization problems. Difficulty can be typically due to the high nonlinearity of the objective function, ill-conditioning of the Hessian matrix, lack of information on first-order derivatives, the need to solve large-scale problems. . In the book various key subjects are addressed, including: exa
出版日期Textbook 2023
关键词Optimization; Nonlinear Programming; Operations Research; Computational methods; Nonlinear equations
版次1
doihttps://doi.org/10.1007/978-3-031-26790-1
isbn_softcover978-3-031-26789-5
isbn_ebook978-3-031-26790-1Series ISSN 2038-5714 Series E-ISSN 2532-3318
issn_series 2038-5714
copyrightSpringer Nature Switzerland AG 2023
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发表于 2025-3-21 21:46:56 | 显示全部楼层
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Luigi Grippo,Marco SciandroneCan be used at both the undergraduate and graduate level.Organizes several key topics into teaching units.Offers novel topics in nonlinear optimization
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,Newton’s Method,f nonlinear equations and we extend the results to unconstrained minimization problems. Then we consider some globally convergent algorithms based on modifications of the Newton search direction and in the adoption of line searches. Non monotone, linesearch based, globalization techniques will be considered in Chap. ..
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Optimality Conditions for Unconstrained Problems in ,In this chapter we establish the basic . and . for a point .∈ . to be an optimal local solution of the unconstrained problem ??? under the assumption that . is one or two times continuously differentiable.
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Basic Concepts on Optimization Algorithms,In this chapter we consider the main structure of the optimization algorithms for the solution of continuous optimization problems on .. Then, we discuss the different meanings of convergence and we state some basic definitions of convergence speed.
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