A comprehensive characterization of the robust isolated calmness of Ky Fan $ k $-norm regularized convex matrix optimization problems

A comprehensive characterization of the robust isolated calmness of Ky Fan $ k $-norm regularized convex matrix optimization problems

This paper extends a result of isolated calmness for nuclear norm regularized convex optimization problems to Ky Fan $ k $-norm regularized convex optimization problems. We find that there exists a certain equivalence relationship among the critical cones of the Ky Fan $ k $-norm function and its co...

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Bibliographic Details
Main Authors: Ziran Yin, Chongyang Liu, Xiaoyu Chen, Jihong Zhang, Jinlong Yuan
Format: Article
Language:English
Published: AIMS Press 2025-03-01
Series:AIMS Mathematics
Subjects:
isolated calmness
ky fan $ k $-norm
critical cone
second-order sufficient condition
strict robinson constraint qualification
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2025227
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https://www.aimspress.com/article/doi/10.3934/math.2025227

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