Convex functions and optimization methods on Riemannian manifolds

✍ Scribed by Udriște, Constantin

Publisher: Springer; Kluwer Academic
Year: 2011; 1994
Tongue: English
Leaves: 365
Series: Mathematics and Its Applications 297
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

Preface. 1. Metric properties of Riemannian manifolds. 2. First and second variations of the p-energy of a curve. 3. Convex functions on Riemannian manifolds. 4. Geometric examples of convex functions. 5. Flows, convexity and energies. 6. Semidefinite Hessians and applications. 7. Minimization of functions on Riemannian manifolds. Appendices: 1. Riemannian convexity of functions f:R--&gt
R. 2. Descent methods on the Poincare plane. 3. Descent methods on the sphere. 4. Completeness and convexity on Finsler manifolds. Bibliography. Index.

✦ Subjects

Convex functions;Mathematical optimization;Riemannian manifolds

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