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Catalogue Information
Field name	Details
Dewey Class	519.6
Title	SOC Functions and Their Applications ([EBook]) / by Jein-Shan Chen.
Author	Chen, Jein-Shan
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2019.
Publication	Singapore : Springer Singapore , 2019.
Physical Details	X, 206 pages: 8 illus., 6 illus. in color. : online resource.
Series	Springer Optimization and Its Applications ; 143
ISBN	9789811340772
Summary Note	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.:
Contents note	SOC Functions -- SOC-convexity and SOC-Monotonity -- Algorithmic Applications -- SOC Means and SOC Inequalities -- Possible Extensions.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-981-13-4077-2
Links to Related Works	Subject References: Management science . Operations research . Operations Research, Management Science . Authors: author . Chen, Jein-Shan . Corporate Authors: SpringerLink (Online service) . Series: Springer Optimization and Its Applications . Classification: 519.6 . 519.6 (DDC 23) .

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SOC Functions and Their Applications

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