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A First Course in Optimization by Charles L. Byrne
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About this book :- This textbook is best for advanced undergraduate and beginning graduate students in the mathematical sciences and engineering. It teaches students the basics of continuous optimization and helps them better understand the mathematics from previous courses. The book focuses on general problems and the underlying theory. It introduces all the necessary mathematical tools and results. The text covers the fundamental problems of constrained and unconstrained optimization as well as linear and convex programming. It also presents basic iterative solution algorithms (such as gradient methods and the Newton–Raphson algorithm and its variants) and more general iterative optimization methods. This text builds the foundation to understand continuous optimization. It prepares students to study advanced topics found in the author’s companion book, Iterative Optimization in Inverse Problems, including sequential unconstrained iterative optimization methods.
Book Detail :- This book has following details information. Title: A First Course in Optimization by Charles L. Byrne Publisher: University of Massachusetts Lowell Year: 2009 Pages: 301 Type: PDF Language: English ISBN-10 #: 1482226561 ISBN-13 #: 978-1482226560 License: N\A Get this book from Amazon
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Book Contents :- This book has following table of contents. 1. Introduction 2. Optimization Without Calculus 3. Geometric Programming 4. Convex Sets 5. Linear Programming 6. Matrix Games and Optimization 7. Differentiation 8. Convex Functions 9. Fenchel Duality 10. Convex Programming 11. Iterative Optimization 12. Quadratic Programming 13. Solving Systems of Linear Equations 14. Sequential Unconstrained Minimization Algorithms 15. Likelihood Maximization 16. Calculus of Variations 17. Operators 18. Compressed Sensing 19. Bregman-Legendre Functions 20. Constrained Linear Systems
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