Descripción física 
XVI, 468 p. online resource. 

text txt rdacontent 

computer c rdamedia 

online resource cr rdacarrier 

text file PDF rda 
Colección 
CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, 16135237


CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, 16135237

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Springer eBooks. Mathematics and Statistics

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Contiene: 
Background  Hilbert Spaces  Convex sets  Convexity and Nonexpansiveness  Fej´er Monotonicity and Fixed Point Iterations  Convex Cones and Generalized Interiors  Support Functions and Polar Sets  Convex Functions  Lower Semicontinuous Convex Functions  Convex Functions: Variants  Convex Variational Problems  Infimal Convolution  Conjugation  Further Conjugation Results  Fencheĺ㒯ckafellar Duality  Subdifferentiability  Differentiability of Convex Functions  Further Differentiability Results  Duality in Convex Optimization  Monotone Operators  Finer Properties of Monotone Operators  Stronger Notions of Monotonicity  Resolvents of Monotone Operators  Sums of Monotone Operators.Zeros of Sums of Monotone Operators  Fermat́鳠Rule in Convex Optimization  Proximal Minimization Projection Operators  Best Approximation Algorithms  Bibliographical Pointers  Symbols and Notation  References. 
Resumen: 
This book presents a largely selfcontained account of the main results of convex analysis, monotone operator theory, and the theory of nonexpansive operators in the context of Hilbert spaces. Unlike existing literature, the novelty of this book, and indeed its central theme, is the tight interplay among the key notions of convexity, monotonicity, and nonexpansiveness. The presentation is accessible to a broad audience and attempts to reach out in particular to the applied sciences and engineering communities, where these tools have become indispensable. Graduate students and researchers in pure and applied mathematics will benefit from this book. It is also directed to researchers in engineering, decision sciences, economics, and inverse problems, and can serve as a reference book. Author Information: Heinz H. Bauschke is a Professor of Mathematics at the University of British Columbia, Okanagan campus (UBCO) and currently a Canada Research Chair in Convex Analysis and Optimization. He was born in Frankfurt where he received his "DiplomMathematiker (mit Auszeichnung)" from Goethe Universität in 1990. He defended his Ph.D. thesis in Mathematics at Simon Fraser University in 1996 and was awarded the Governor General's Gold Medal for his graduate work. After a NSERC Postdoctoral Fellowship spent at the University of Waterloo, at the Pennsylvania State University, and at the University of California at Santa Barbara, Dr. Bauschke became College Professor at Okanagan University College in 1998. He joined the University of Guelph in 2001, and he returned to Kelowna in 2005, when Okanagan University College turned into UBCO. In 2009, he became UBCO's first "Researcher of the Year". Patrick L. Combettes received the Brevet d'Études du Premier Cycle from Académie de Versailles in 1977 and the Ph.D. degree from North Carolina State University in 1989. In 1990, he joined the City College and the Graduate Center of the City University of New York where he became a Full Professor in 1999. Since 1999, he has been with the Faculty of Mathematics of Université Pierre et Marie Curie  Paris 6, laboratoire JacquesLouis Lions, where he is presently a Professeur de Classe Exceptionnelle. He was elected Fellow of the IEEE in 2005. 
Materia 
Mathematics. 

Algorithms. 

Visualization. 

Calculus of variations. 

Mathematics.

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Calculus of Variations and Optimal Control; Optimization.

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Algorithms.

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Visualization.

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Autor secundario 
Combettes, Patrick L., author.


SpringerLink (Online service)

En 
Springer eBooks 
OTRO SOPORTE 
Printed edition: 9781441994660 
ISBN 
9781441994677 9781441994677 
ISBN/ISSN 
10.1007/9781441994677 doi 
