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Convex Functions and Optimization Methods on Riemannian Manifolds (Mathematics and Its Applications)

C. Udriste
4.9/5 (24274 ratings)
Description:This unique monograph discusses the interaction between Riemannian geometry, convex programming, numerical analysis, dynamical systems and mathematical modelling. The book is the first account of the development of this subject as it emerged at the beginning of the 'seventies. A unified theory of convexity of functions, dynamical systems and optimization methods on Riemannian manifolds is also presented. Topics covered include geodesics and completeness of Riemannian manifolds, variations of the p-energy of a curve and Jacobi fields, convex programs on Riemannian manifolds, geometrical constructions of convex functions, flows and energies, applications of convexity, descent algorithms on Riemannian manifolds, TC and TP programs for calculations and plots, all allowing the user to explore and experiment interactively with real life problems in the language of Riemannian geometry. An appendix is devoted to convexity and completeness in Finsler manifolds. For students and researchers in such diverse fields as pure and applied mathematics, and applied sciences like physics, chemistry, biology, and engineering.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Convex Functions and Optimization Methods on Riemannian Manifolds (Mathematics and Its Applications). To get started finding Convex Functions and Optimization Methods on Riemannian Manifolds (Mathematics and Its Applications), you are right to find our website which has a comprehensive collection of manuals listed.
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Pages
Format
PDF, EPUB & Kindle Edition
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Release
ISBN
904814440X

Convex Functions and Optimization Methods on Riemannian Manifolds (Mathematics and Its Applications)

C. Udriste
4.4/5 (1290744 ratings)
Description: This unique monograph discusses the interaction between Riemannian geometry, convex programming, numerical analysis, dynamical systems and mathematical modelling. The book is the first account of the development of this subject as it emerged at the beginning of the 'seventies. A unified theory of convexity of functions, dynamical systems and optimization methods on Riemannian manifolds is also presented. Topics covered include geodesics and completeness of Riemannian manifolds, variations of the p-energy of a curve and Jacobi fields, convex programs on Riemannian manifolds, geometrical constructions of convex functions, flows and energies, applications of convexity, descent algorithms on Riemannian manifolds, TC and TP programs for calculations and plots, all allowing the user to explore and experiment interactively with real life problems in the language of Riemannian geometry. An appendix is devoted to convexity and completeness in Finsler manifolds. For students and researchers in such diverse fields as pure and applied mathematics, and applied sciences like physics, chemistry, biology, and engineering.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Convex Functions and Optimization Methods on Riemannian Manifolds (Mathematics and Its Applications). To get started finding Convex Functions and Optimization Methods on Riemannian Manifolds (Mathematics and Its Applications), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
Format
PDF, EPUB & Kindle Edition
Publisher
Release
ISBN
904814440X
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