Geometric Methods And Optimization Problems

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Geometric Methods And Optimization Problems

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Author : Vladimir Boltyanski
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-12-31

Geometric Methods And Optimization Problems written by Vladimir Boltyanski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-12-31 with Computers categories.

This book focuses on three disciplines of applied mathematics: control theory, location science and computational geometry. The authors show how methods and tools from convex geometry in a wider sense can help solve various problems from these disciplines. More precisely they consider mainly the tent method (as an application of a generalized separation theory of convex cones) in nonclassical variational calculus, various median problems in Euclidean and other Minkowski spaces (including a detailed discussion of the Fermat-Torricelli problem) and different types of partitionings of topologically complicated polygonal domains into a minimum number of convex pieces. Figures are used extensively throughout the book and there is also a large collection of exercises. Audience: Graduate students, teachers and researchers.

Elements Of Classical And Geometric Optimization

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Author : Debasish Roy
language : en
Publisher: CRC Press
Release Date : 2024-01-25

Elements Of Classical And Geometric Optimization written by Debasish Roy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-25 with Technology & Engineering categories.

This comprehensive textbook covers both classical and geometric aspects of optimization using methods, deterministic and stochastic, in a single volume and in a language accessible to non-mathematicians. It will help serve as an ideal study material for senior undergraduate and graduate students in the fields of civil, mechanical, aerospace, electrical, electronics, and communication engineering. The book includes: Derivative-based Methods of Optimization. Direct Search Methods of Optimization. Basics of Riemannian Differential Geometry. Geometric Methods of Optimization using Riemannian Langevin Dynamics. Stochastic Analysis on Manifolds and Geometric Optimization Methods. This textbook comprehensively treats both classical and geometric optimization methods, including deterministic and stochastic (Monte Carlo) schemes. It offers an extensive coverage of important topics including derivative-based methods, penalty function methods, method of gradient projection, evolutionary methods, geometric search using Riemannian Langevin dynamics and stochastic dynamics on manifolds. The textbook is accompanied by online resources including MATLAB codes which are uploaded on our website. The textbook is primarily written for senior undergraduate and graduate students in all applied science and engineering disciplines and can be used as a main or supplementary text for courses on classical and geometric optimization.

Geometric Methods In Computer Aided Design And Manufacturing

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Author : Jayanth Majhi
language : en
Publisher:
Release Date : 1998

Geometric Methods In Computer Aided Design And Manufacturing written by Jayanth Majhi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.

Geometric Methods In Artificial Intelligence And Wireless Networks

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Author : Dian Gong
language : en
Publisher:
Release Date : 2008

Geometric Methods In Artificial Intelligence And Wireless Networks written by Dian Gong and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Artificial intelligence categories.

The Newton Method And Related Topics

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Author : Tetsuro Yamamoto
language : en
Publisher:
Release Date : 1981

The Newton Method And Related Topics written by Tetsuro Yamamoto and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Approximation theory categories.

Geometric Methods And Applications

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Author : Jean Gallier
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Geometric Methods And Applications written by Jean Gallier and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this book attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, or robotics, which sometimes do not cover the underlying geometric concepts in detail. Gallier offers an introduction to affine geometry, projective geometry, Euclidean geometry, basics of differential geometry and Lie groups, and a glimpse of computational geometry (convex sets, Voronoi diagrams and Delaunay triangulations) and explores many of the practical applications of geometry. Some of these applications include computer vision (camera calibration) efficient communication, error correcting codes, cryptography, motion interpolation, and robot kinematics. This comprehensive text covers most of the geometric background needed for conducting research in computer graphics, geometric modeling, computer vision, and robotics and as such will be of interest to a wide audience including computer scientists, mathematicians, and engineers.

Nonlinear Programming

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Author : Dimitri P. Bertsekas
language : en
Publisher: Goodman Publishers
Release Date : 1999

Nonlinear Programming written by Dimitri P. Bertsekas and has been published by Goodman Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.

Geometric Methods In Operator Algebras

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Author : Edward G. Effros
language : en
Publisher: Longman Scientific and Technical
Release Date : 1986

Geometric Methods In Operator Algebras written by Edward G. Effros and has been published by Longman Scientific and Technical this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.

Geometric Methods In Computer Vision Ii

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Author : Baba C. Vemuri
language : en
Publisher:
Release Date : 1993

Geometric Methods In Computer Vision Ii written by Baba C. Vemuri and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Computers categories.

Integer Programming And Related Areas

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Author : Rabe Randow
language : en
Publisher: Springer
Release Date : 1990

Integer Programming And Related Areas written by Rabe Randow and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Business & Economics categories.