Duality Mapping for Schatten Matrix Norms
نویسندگان
چکیده
In this paper, we fully characterize the duality mapping over space of matrices that are equipped with Schatten norms. Our approach is based on analysis saturation Hölder inequality for We prove in our main result that, p∈(1,∞), real-valued Schatten-p norm a continuous and single-valued function provide an explicit form its computation. For special case p = 1, set-valued; by adding rank constraint, show it can be reduced to Borel-measurable which also closed-form expression.
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ژورنال
عنوان ژورنال: Numerical Functional Analysis and Optimization
سال: 2021
ISSN: ['1532-2467', '0163-0563']
DOI: https://doi.org/10.1080/01630563.2021.1922438