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Lieferstatus:	i.d.R. innert 5-10 Tagen versandfertig
Veröffentlichung:	November 2013
Genre:	Schulbücher
	Algorithms / Differentielle und Riemannsche Geometrie / Diskrete Mathematik / linearoptimization / nonlinearoptimization / OptimalityConditions / Optimierung / Optimization / optimizationalgorithm / optimizationalgorithms / Sets / Software Engineering / Stochastik / Unternehmensforschung / Wahrscheinlichkeitsrechnung und Statistik mehr...
ISBN:	9781461379201
EAN-Code:	9781461379201
Verlag:	Springer
Einband:	Kartoniert
Sprache:	English
Dimensionen:	H 235 mm / B 155 mm / D 22 mm
Gewicht:	593 gr
Seiten:	392
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

This book is the first uniform, differential geometric approach to smooth nonlinear optimization. This advance allows the author to improve the sufficiency part of the Lagrange multiplier rule introduced in 1788 and to solve Fenchel's problem of level sets (1953) in the smooth case. Furthermore, this permits the author to replace convexity by geodesic convexity and apply it in complementarity systems, to study the nonlinear coordinate representations of smooth optimization problems, to describe the structure by tensors, to introduce a general framework for variable metric methods containing many basic nonlinear optimization algorithms, and - last but not least - to generate a class of polynomial interior point algorithms for linear optimization by a subclass of Riemannian metrics. <em>Audience:</em> The book is addressed to graduate students and researchers. The elementary notions necessary for understanding the material constitute part of the standard university curriculum.