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$ρ$-regularization subproblems: Strong duality and an eigensolver-based algorithm

Published in arXiv (Cornell University) • Sep 4, 2021
NobleIDNI2P33W34R12S84
Authors:
Liaoyuan Zeng
,
Ting Kei Pong

Abstract

Trust-region (TR) type method, based on a quadratic model such as the trust-region subproblem (TRS) and $ p $-regularization subproblem ($p$RS), is arguably one of the most successful methods for unconstrained minimization. In this paper, we study a general regularized subproblem (named $ ρ$RS), whi...

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