Claude Lemarechal – författare

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13 produkter

Nonsmooth Optimization
Proceedings of a IIASA Workshop, March 28 - April 8, 1977
AvRobert Mifflin,Claude Lemarechal
E-bok
PDF, Engelska, 2014
355 kr
Läs direkt efter köp
Nonsmooth Optimization contains the proceedings of a workshop on non-smooth optimization (NSO) held from March 28 to April 8,1977 in Austria under the auspices of the International Institute for Applied Systems Analysis. The papers explore the techniques and theory of NSO and cover topics ranging from systems of inequalities to smooth approximation of non-smooth functions, as well as quadratic programming and line searches. Comprised of nine chapters, this volume begins with a survey of Soviet research on subgradient optimization carried out since 1962, followed by a discussion on rates of convergence in subgradient optimization. The reader is then introduced to the method of subgradient optimization in an abstract setting and the minimal hypotheses required to ensure convergence; NSO and nonlinear programming; and bundle methods in NSO. A feasible descent algorithm for linearly constrained least squares problems is described. The book also considers sufficient minimization of piecewise-linear univariate functions before concluding with a description of the method of parametric decomposition in mathematical programming. This monograph will be of interest to mathematicians and mathematics students.
Numerical Optimization
Theoretical and Practical Aspects
AvJoseph-Frédéric Bonnans,Jean Charles Gilbertm. fl.
Häftad, Engelska, 2006
977 kr
Skickas inom 10-15 vardagar
Just as in its 1st edition, this book starts with illustrations of the ubiquitous character of optimization, and describes numerical algorithms in a tutorial way. It covers fundamental algorithms as well as more specialized and advanced topics for unconstrained and constrained problems. Most of the algorithms are explained in a detailed manner, allowing straightforward implementation. Theoretical aspects of the approaches chosen are also addressed with care, often using minimal assumptions.This new edition contains computational exercises in the form of case studies which help understanding optimization methods beyond their theoretical, description, when coming to actual implementation. Besides, the nonsmooth optimization part has been substantially reorganized and expanded.
Numerical Optimization
Theoretical and Practical Aspects
AvClaudia A. Sagastizabal,Claude Lemarechalm. fl.
E-bok
PDF, Engelska, 2006
1 176 kr
Läs direkt efter köp
Just as in its 1st edition, this book starts with illustrations of the ubiquitous character of optimization, and describes numerical algorithms in a tutorial way. It covers fundamental algorithms as well as more specialized and advanced topics for unconstrained and constrained problems. Most of the algorithms are explained in a detailed manner, allowing straightforward implementation. Theoretical aspects of the approaches chosen are also addressed with care, often using minimal assumptions.
This new edition contains computational exercises in the form of case studies which help understanding optimization methods beyond their theoretical, description, when coming to actual implementation. Besides, the nonsmooth optimization part has been substantially reorganized and expanded.
Fundamentals of Convex Analysis
AvJean-Baptiste Hiriart-Urruty,Claude Lemaréchal
Häftad, Engelska, 2001
761 kr
Skickas inom 5-8 vardagar
This book is an abridged version of our two-volume opus Convex Analysis and Minimization Algorithms [18], about which we have received very positive feedback from users, readers, lecturers ever since it was published - by Springer-Verlag in 1993. Its pedagogical qualities were particularly appreciated, in the combination with a rather advanced technical material. Now [18] hasa dual but clearly defined nature: - an introduction to the basic concepts in convex analysis, - a study of convex minimization problems (with an emphasis on numerical al- rithms), and insists on their mutual interpenetration. It is our feeling that the above basic introduction is much needed in the scientific community. This is the motivation for the present edition, our intention being to create a tool useful to teach convex anal ysis. We have thus extracted from [18] its "backbone" devoted to convex analysis, namely ChapsIII-VI and X. Apart from some local improvements, the present text is mostly a copy of thecorresponding chapters. The main difference is that we have deleted material deemed too advanced for an introduction, or too closely attached to numerical algorithms. Further, we have included exercises, whose degree of difficulty is suggested by 0, I or 2 stars *. Finally, the index has been considerably enriched. Just as in [18], each chapter is presented as a "lesson", in the sense of our old masters, treating of a given subject in its entirety.
Del 305 - Grundlehren der mathematischen Wissenschaften
Convex Analysis and Minimization Algorithms I
Fundamentals
AvJean-Baptiste Hiriart-Urruty,Claude Lemarechal
Inbunden, Engelska, 1993
1 516 kr
Skickas inom 10-15 vardagar
Convex Analysis may be considered as a refinement of standard calculus, with equalities and approximations replaced by inequalities. As such, it can easily be integrated into a graduate study curriculum. Minimization algorithms, more specifically those adapted to non-differentiable functions, provide an immediate application of convex analysis to various fields related to optimization and operations research. These two topics making up the title of the book, reflect the two origins of the authors, who belong respectively to the academic world and to that of applications. Part I can be used as an introductory textbook (as a basis for courses, or for self-study); Part II continues this at a higher technical level and is addressed more to specialists, collecting results that so far have not appeared in books.
Convex Analysis and Minimization Algorithms II
Advanced Theory and Bundle Methods
AvJean-Baptiste Hiriart-Urruty,Claude Lemarechal
Inbunden, Engelska, 1993
1 516 kr
Skickas inom 10-15 vardagar
From the reviews: "The account is quite detailed and is written in a manner that will appeal to analysts and numerical practitioners alike...they contain everything from rigorous proofs to tables of numerical calculations.... one of the strong features of these books...that they are designed not for the expert, but for those who whish to learn the subject matter starting from little or no background...there are numerous examples, and counter-examples, to back up the theory...To my knowledge, no other authors have given such a clear geometric account of convex analysis." "This innovative text is well written, copiously illustrated, and accessible to a wide audience"
Optimisation Numerique
Aspects theoriques et pratiques
AvJ.-Frédéric Bonnans,Jean-Charles Gilbertm. fl.
Häftad, Franska, 1997
546 kr
Skickas inom 10-15 vardagar
Ce livre est exclusivement consacré aux algorithmes numériques d'optimisation (quasi-Newton, faisceaux, programmation quadratique successive, points intérieurs); les bases théoriques (conditions d'optimalité, multiplicateurs de Lagrange) sont supposées connues.Son but est de familiariser le lecteur avec ces algorithmes, qui sont pour la plupart bien classiques. Leur description insiste sur leur implémentation numérique, ils peuvent être programmés directement par un lecteur expérimenté. Le côté théorique n'est pas pour autant négligé, avec démonstration de chaque théorème de convergence ou vitesse de convergence; souvent, ces démonstrations utilisent des hypothèses minimales.
Del 305 - Grundlehren der mathematischen Wissenschaften
Convex Analysis and Minimization Algorithms I
Fundamentals
AvJean-Baptiste Hiriart-Urruty,Claude Lemarechal
Häftad, Engelska, 2011
1 516 kr
Skickas inom 10-15 vardagar
Convex Analysis may be considered as a refinement of standard calculus, with equalities and approximations replaced by inequalities. As such, it can easily be integrated into a graduate study curriculum. Minimization algorithms, more specifically those adapted to non-differentiable functions, provide an immediate application of convex analysis to various fields related to optimization and operations research. These two topics making up the title of the book, reflect the two origins of the authors, who belong respectively to the academic world and to that of applications. Part I can be used as an introductory textbook (as a basis for courses, or for self-study); Part II continues this at a higher technical level and is addressed more to specialists, collecting results that so far have not appeared in books.
Del 306 - Grundlehren der mathematischen Wissenschaften
Convex Analysis and Minimization Algorithms II
Advanced Theory and Bundle Methods
AvJean-Baptiste Hiriart-Urruty,Claude Lemarechal
Häftad, Engelska, 2010
1 516 kr
Skickas inom 10-15 vardagar
From the reviews: "The account is quite detailed and is written in a manner that will appeal to analysts and numerical practitioners alike...they contain everything from rigorous proofs to tables of numerical calculations.... one of the strong features of these books...that they are designed not for the expert, but for those who whish to learn the subject matter starting from little or no background...there are numerous examples, and counter-examples, to back up the theory...To my knowledge, no other authors have given such a clear geometric account of convex analysis." "This innovative text is well written, copiously illustrated, and accessible to a wide audience"
Fundamentals of Convex Analysis
AvClaude Lemarechal,Jean-Baptiste Hiriart-Urruty
E-bok
PDF, Engelska, 2012
868 kr
Läs direkt efter köp
This book is an abridged version of our two-volume opus Convex Analysis and Minimization Algorithms [18], about which we have received very positive feedback from users, readers, lecturers ever since it was published - by Springer-Verlag in 1993. Its pedagogical qualities were particularly appreciated, in the combination with a rather advanced technical material. Now [18] hasa dual but clearly defined nature: - an introduction to the basic concepts in convex analysis, - a study of convex minimization problems (with an emphasis on numerical al- rithms), and insists on their mutual interpenetration. It is our feeling that the above basic introduction is much needed in the scientific community. This is the motivation for the present edition, our intention being to create a tool useful to teach convex anal ysis. We have thus extracted from [18] its "backbone" devoted to convex analysis, namely ChapsIII-VI and X. Apart from some local improvements, the present text is mostly a copy of thecorresponding chapters. The main difference is that we have deleted material deemed too advanced for an introduction, or too closely attached to numerical algorithms. Further, we have included exercises, whose degree of difficulty is suggested by 0, I or 2 stars *. Finally, the index has been considerably enriched. Just as in [18], each chapter is presented as a "lesson", in the sense of our old masters, treating of a given subject in its entirety.
Convex Analysis and Minimization Algorithms I
Fundamentals
AvClaude Lemarechal,Jean-Baptiste Hiriart-Urruty
E-bok
PDF, Engelska, 2013
1 886 kr
Läs direkt efter köp
Convex Analysis may be considered as a refinement of standard calculus, with equalities and approximations replaced by inequalities. As such, it can easily be integrated into a graduate study curriculum. Minimization algorithms, more specifically those adapted to non-differentiable functions, provide an immediate application of convex analysis to various fields related to optimization and operations research. These two topics making up the title of the book, reflect the two origins of the authors, who belong respectively to the academic world and to that of applications. Part I can be used as an introductory textbook (as a basis for courses, or for self-study); Part II continues this at a higher technical level and is addressed more to specialists, collecting results that so far have not appeared in books.
Numerical Optimization
Theoretical and Practical Aspects
AvClaudia A. Sagastizabal,Claude Lemarechalm. fl.
E-bok
PDF, Engelska, 2013
1 136 kr
Läs direkt efter köp
Just as in its 1st edition, this book starts with illustrations of the ubiquitous character of optimization, and describes numerical algorithms in a tutorial way. It covers fundamental algorithms as well as more specialized and advanced topics for unconstrained and constrained problems. Most of the algorithms are explained in a detailed manner, allowing straightforward implementation. Theoretical aspects of the approaches chosen are also addressed with care, often using minimal assumptions.
This new edition contains computational exercises in the form of case studies which help understanding optimization methods beyond their theoretical, description, when coming to actual implementation. Besides, the nonsmooth optimization part has been substantially reorganized and expanded.
Convex Analysis and Minimization Algorithms II
Advanced Theory and Bundle Methods
AvClaude Lemarechal,Jean-Baptiste Hiriart-Urruty
E-bok
PDF, Engelska, 2013
1 886 kr
Läs direkt efter köp
From the reviews: "The account is quite detailed and is written in a manner that will appeal to analysts and numerical practitioners alike...they contain everything from rigorous proofs to tables of numerical calculations.... one of the strong features of these books...that they are designed not for the expert, but for those who whish to learn the subject matter starting from little or no background...there are numerous examples, and counter-examples, to back up the theory...To my knowledge, no other authors have given such a clear geometric account of convex analysis." "This innovative text is well written, copiously illustrated, and accessible to a wide audience"

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Claude Lemarechal – författare

Nonsmooth Optimization

Numerical Optimization

Numerical Optimization

Fundamentals of Convex Analysis

Convex Analysis and Minimization Algorithms I

Convex Analysis and Minimization Algorithms II

Optimisation Numerique

Convex Analysis and Minimization Algorithms I

Convex Analysis and Minimization Algorithms II

Fundamentals of Convex Analysis

Convex Analysis and Minimization Algorithms I

Numerical Optimization

Convex Analysis and Minimization Algorithms II

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