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Optimization Techniques I : Continuous Optimization

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Title: Optimization Techniques I : Continuous Optimization
Description: This book in two volumes provides an overview of continuous, discrete and functional optimization techniques. This first volume is devoted to continuous optimization, which deals with problems with real variables, without or with constraints. After a reminder of the optimality conditions and their geometrical interpretation, the topics covered are:-gradient-free algorithms that can be applied to any type of function;-unconstrained algorithms based on Newton-type descent methods;-algorithms with constraints: penalization, primal, dual and primal-dual methods;-linear programming with the simplex method and interior point methods. The emphasis is on understanding the principles rather than on mathematical rigor. Each concept or algorithm is accompanied by a detailed example to help you grasp the main ideas. This book is the result of 30 years of experience and is intended for students, researchers and engineers wishing to acquire a general knowledge in the field of optimization.This book is the English translation of «Techniques d'optimisation tomes 1 et 2» which was part of the final selection of «Prix Roberval 2023» in the «Higher Education» category.
Authors: Max Cerf
Resource Type: eBook.
Subjects: Applied mathematics
Categories: MATHEMATICS / Applied
Database: eBook Collection (EBSCOhost)
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  Data: This book in two volumes provides an overview of continuous, discrete and functional optimization techniques. This first volume is devoted to continuous optimization, which deals with problems with real variables, without or with constraints. After a reminder of the optimality conditions and their geometrical interpretation, the topics covered are:-gradient-free algorithms that can be applied to any type of function;-unconstrained algorithms based on Newton-type descent methods;-algorithms with constraints: penalization, primal, dual and primal-dual methods;-linear programming with the simplex method and interior point methods. The emphasis is on understanding the principles rather than on mathematical rigor. Each concept or algorithm is accompanied by a detailed example to help you grasp the main ideas. This book is the result of 30 years of experience and is intended for students, researchers and engineers wishing to acquire a general knowledge in the field of optimization.This book is the English translation of «Techniques d'optimisation tomes 1 et 2» which was part of the final selection of «Prix Roberval 2023» in the «Higher Education» category.
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      – Code: 515
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Applied mathematics
        Type: general
    Titles:
      – TitleFull: Optimization Techniques I : Continuous Optimization
        Type: main
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          Name:
            NameFull: Max Cerf
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            NameFull: Max Cerf
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2023
            – D: 30
              M: 07
              Type: profile
              Y: 2025
          Identifiers:
            – Type: isbn-print
              Value: 9782759831623
            – Type: isbn-electronic
              Value: 9782759831647
          Titles:
            – TitleFull: Optimization Techniques I : Continuous Optimization
              Type: main
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