Overview
- Provide the reader a complete picture of SOC functions and their applications
- Covers all of the concepts required, such as spectral decomposition associated with SOCs, analysis of SOC functions, and SOC-convexity and -monotonicity to tackle second-order cone programs (SOCPs)
- Employs complementarity functions
- Pays attention to applications and offers a direction for future investigation of SOC functions
Part of the book series: Springer Optimization and Its Applications (SOIA, volume 143)
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Table of contents (5 chapters)
Keywords
About this book
Moreover, we can roughly classify the related algorithms into two categories. One category includes traditional algorithms that do not use complementarity functions. Here, SOC-convexity and SOC-monotonicity play a key role. In contrast, complementarity functions are employed for the other category. In this context, complementarity functions are closely related to SOC functions; consequently, the analysis of SOC functions can help with these algorithms.
Authors and Affiliations
Bibliographic Information
Book Title: SOC Functions and Their Applications
Authors: Jein-Shan Chen
Series Title: Springer Optimization and Its Applications
DOI: https://doi.org/10.1007/978-981-13-4077-2
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. 2019
Hardcover ISBN: 978-981-13-4076-5Published: 20 February 2019
eBook ISBN: 978-981-13-4077-2Published: 11 February 2019
Series ISSN: 1931-6828
Series E-ISSN: 1931-6836
Edition Number: 1
Number of Pages: X, 206
Number of Illustrations: 2 b/w illustrations, 6 illustrations in colour