TY - JOUR
T1 - On Second-Order Cone Functions
AU - Jibrin, Shafu
AU - Swift, James W.
N1 - Publisher Copyright:
© 2024 Shafu Jibrin and James W. Swift.
PY - 2024
Y1 - 2024
N2 - We consider the second-order cone function (SOCF) (formula presented) defned by (formula presented), with parameters (formula presented).Every SOCF is concave.We give necessary and sufcient conditions for strict concavity of f. Te parameters A and b are not uniquely determined. We show that every SOCF can be written in the form (formula presented). We give necessary and sufcient conditions for the parameters c, d, δ, M = ATA, and x* to be uniquely determined. We also give necessary and sufcient conditions for f to be bounded above.
AB - We consider the second-order cone function (SOCF) (formula presented) defned by (formula presented), with parameters (formula presented).Every SOCF is concave.We give necessary and sufcient conditions for strict concavity of f. Te parameters A and b are not uniquely determined. We show that every SOCF can be written in the form (formula presented). We give necessary and sufcient conditions for the parameters c, d, δ, M = ATA, and x* to be uniquely determined. We also give necessary and sufcient conditions for f to be bounded above.
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U2 - 10.1155/2024/7090058
DO - 10.1155/2024/7090058
M3 - Article
AN - SCOPUS:85197476545
SN - 2356-752X
VL - 2024
JO - Journal of Optimization
JF - Journal of Optimization
M1 - 7090058
ER -