期刊
OPTIMIZATION LETTERS
卷 16, 期 4, 页码 1129-1135出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s11590-021-01789-y
关键词
S-lemma; Convexity of image sets; Separation of convex sets; Theorem of alternatives
The study revisits the S-procedure for general functions with geometrical glasses, outlining a necessary condition and almost a sufficient condition for the validity of the S-procedure, all expressed in terms of convexity of augmented sets built from the data functions.
We revisit the S-procedure for general functions with geometrical glasses. We thus delineate a necessary condition, and almost a sufficient condition, to have the S-procedure valid. Everything is expressed in terms of convexity of augmented sets (i.e., via convex hulls, conical hulls) of images built from the data functions.
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