Overview
- Studies convex optimization problems in a general Banach space under the presence of computational errors
- Studies nonconvex optimization problems in a general Banach space under the presence of computational errors
- Studies continuous algorithms in a general Banach space under the presence of computational errors
Part of the book series: SpringerBriefs in Optimization (BRIEFSOPTI)
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Table of contents (4 chapters)
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About this book
In this book the goal is to obtain a good approximate solution of the constrained optimization problem in a general Banach space under the presence of computational errors. It is shown that the algorithm generates a good approximate solution, if the sequence of computational errors is bounded from above by a small constant. The book consists of four chapters. In the first we discuss several algorithms which are studied in the book and prove a convergence result for an unconstrained problem which is a prototype of our results for the constrained problem. In Chapter 2 we analyze convex optimization problems. Nonconvex optimization problems are studied in Chapter 3. In Chapter 4 we study continuous algorithms for minimization problems under the presence of computational errors. The algorithm generates a good approximate solution, if the sequence of computational errors is bounded from above by a small constant. The book consists of four chapters. In the first we discuss several algorithms which are studied in the book and prove a convergence result for an unconstrained problemwhich is a prototype of our results for the constrained problem. In Chapter 2 we analyze convex optimization problems. Nonconvex optimization problems are studied in Chapter 3. In Chapter 4 we study continuous algorithms for minimization problems under the presence of computational errors.
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Bibliographic Information
Book Title: Optimization in Banach Spaces
Authors: Alexander J. Zaslavski
Series Title: SpringerBriefs in Optimization
DOI: https://doi.org/10.1007/978-3-031-12644-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
Softcover ISBN: 978-3-031-12643-7Published: 30 September 2022
eBook ISBN: 978-3-031-12644-4Published: 29 September 2022
Series ISSN: 2190-8354
Series E-ISSN: 2191-575X
Edition Number: 1
Number of Pages: VIII, 126
Topics: Optimization, Numerical Analysis