Smooth Nonlinear Optimization Of Rn Book

	Preface
1	Introduction	1
2	Nonlinear Optimization Problems	7
3	Optimality Conditions	27
4	Geometric Background of Optimality Conditions	37
5	Deduction of the Classical Optimality Conditions in Nonlinear Optimization	45
6	Geodesic Convex Functions	61
7	On the Connectedness of the Solution Set to Complementarity Systems	87
8	Nonlinear Coordinate Representations	111
9	Tensors in Optimization	141
10	Geodesic Convexity on [actual symbol not reproducible]	167
11	Variable Metric Methods Along Geodesics	185
12	Polynomial Variable Metric Methods for Linear Optimization	207
13	Special Function Classes	231
14	Fenchel's Unsolved Problem of Level Sets	253
15	An Improvement of the Lagrange Multiplier Rule for Smooth Optimization Problems	271
A	On the Connection Between Mechanical Force Equilibrium and Nonlinear Optimization	285
B	Topology	305
C	Riemannian Geometry	329
	References	341
	Author Index	363
	Subject Index	367
	Notations	373