(Description from Amazon.com)
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.
