Authors:
- 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)
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Front Matter
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Back Matter
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
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Department of Mathematics, National Taiwan Normal University, Taipei, Taiwan
Jein-Shan Chen
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