On matrix exponentials and their approximations related to optimization on the Stiefel manifold
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DOI: 10.1007/s11590-018-1341-z
Abstract: In this paper we probe into the geometric properties of matrix exponentials and their approximations related to optimization on the Stiefel manifold. The relation between matrix exponentials and geodesics or retractions on the Stiefel manifold… read more here.
Keywords: exponentials approximations; stiefel manifold; related optimization; matrix exponentials ... See more keywords
Vertex Cover of Networks and Its Related Optimization Problems: An Overview
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DOI: 10.1109/tnnls.2024.3495836
Abstract: As a well-known NP-hard problem, the vertex cover problem has broad applications, which has aroused the concern of many researchers. In recent years, its related optimization problems, including the weighted vertex cover problem, the $\ell… read more here.
Keywords: optimization problems; related optimization; cover problem; optimization ... See more keywords
Convexity, Markov Operators, Approximation, and Related Optimization
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DOI: 10.3390/math10152775
Abstract: The present review paper provides recent results on convexity and its applications to the constrained extension of linear operators, motivated by the existence of subgradients of continuous convex operators, the Markov moment problem and related… read more here.
Keywords: markov operators; convexity; operators approximation; related optimization ... See more keywords