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RAPCSÁK, T.: Smooth nonlinear optimization in Rn.

(Description from

Designed for researchers and graduate students, addresses key questions of optimization theory and demonstrates that the tools of differential geometry can be used with success in the case of smooth problems, especially convex problems arising in nonlinear optimization. Rapcsák (computer and automation studies, Hungarian Academy of Sciences) solves Fenchel's problem of level sets in the smooth case; replaces convexity with geodesic convexity; and studies the nonlinear coordinate representations of smooth optimization problems. Book News, Inc.®, Portland, OR

Book Description
Demonstrates that in the case of smooth, especially nonconvex problems arising in nonlinear optimization also the tools of differential geometry can be used with success. Topics cover tensors in optimization, topology and Riemannian geometry.
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