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- W1978549503 abstract "The SOC-monotone function (respectively, SOC-convex function) is a scalar valued function that induces a map to preserve the monotone order (respectively, the convex order), when imposed on the spectral factorization of vectors associated with second-order cones (SOCs) in general Hilbert spaces. In this paper, we provide the sufficient and necessary characterizations for the two classes of functions, and particularly establish that the set of continuous SOC-monotone (respectively, SOC-convex) functions coincides with that of continuous matrix monotone (respectively, matrix convex) functions of order 2." @default.
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- W1978549503 date "2012-09-01" @default.
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- W1978549503 title "SOC-monotone and SOC-convex functions vs. matrix-monotone and matrix-convex functions" @default.
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- W1978549503 doi "https://doi.org/10.1016/j.laa.2012.04.030" @default.
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