Springer Optimization and Its Applications

SOC Functions and Their Applications

Authors: Chen, Jein-Shan

Free Preview
  • 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
see more benefits

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-981-13-4077-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-981-13-4076-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book covers all of the concepts required to tackle second-order cone programs (SOCPs), in order to provide the reader a complete picture of SOC functions and their applications. SOCPs have attracted considerable attention, due to their wide range of applications in engineering, data science, and finance. To deal with this special group of optimization problems involving second-order cones (SOCs), we most often need to employ the following crucial concepts: (i) spectral decomposition associated with SOCs, (ii) analysis of SOC functions, and (iii) SOC-convexity and -monotonicity.

 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.

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-981-13-4077-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-981-13-4076-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
SOC Functions and Their Applications
Authors
Series Title
Springer Optimization and Its Applications
Series Volume
143
Copyright
2019
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-13-4077-2
DOI
10.1007/978-981-13-4077-2
Hardcover ISBN
978-981-13-4076-5
Series ISSN
1931-6828
Edition Number
1
Number of Pages
X, 206
Number of Illustrations
2 b/w illustrations, 6 illustrations in colour
Topics