A note on the Lipschitz continuity of the gradient of the squared norm of the matrix-valued Fischer-Burmeister function

Chee-Khian Sim; Jie Sun; Daniel Ralph

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A note on the Lipschitz continuity of the gradient of the squared norm of the matrix-valued Fischer-Burmeister function

机译：关于矩阵值Fischer-Burmeister函数平方范数的梯度的Lipschitz连续性的一个注记

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摘要

Based on a formula of Tseng, we show that the squared norm of the matrix-valued Fischer-Burmeister function has a Lipschitz continuous gradient.

机译：基于Tseng公式，我们证明矩阵值Fischer-Burmeister函数的平方范数具有Lipschitz连续梯度。

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《Mathematical Programming》 |2006年第3期|547-553|共7页
作者
Chee-Khian Sim; Jie Sun; Daniel Ralph;
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Department of Decision Sciences National University of Singapore;

Department of Decision Sciences National University of Singapore;

Judge Business School University of Cambridge;

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专利

1. A note on the Lipschitz continuity of the gradient of the squared norm of the matrix-valued Fischer-Burmeister function [J] . Sim CK, Sun J, Ralph D Mathematical Programming . 2006,第3期

机译：关于矩阵值Fischer-Burmeister函数平方范数的梯度的Lipschitz连续性的一个注记
2. The SC1 property of the squared norm of the SOC Fischer-Burmeister function [J] . Chen JS, Sun DF, Sun J Operations Research Letters: A Journal of the Operations Research Society of America . 2008,第3期

机译：SOC Fischer-Burmeister函数平方范数的SC1属性
3. GRADIENT FLOWS FOR SEMICONVEX FUNCTIONS ON METRIC MEASURE SPACES - EXISTENCE, UNIQUENESS, AND LIPSCHITZ CONTINUITY [J] . Sturm Karl-Theodor Proceedings of the American Mathematical Society . 2018,第9期

机译：用于度量标准测量空间的SemiconVex功能的渐变流 - 存在，独特性和Lipschitz连续性
4. Lipschitz Continuity of Triangular Norms [C] . Andrea Mesiarova Computational Intelligence, Theory and Applications; Advances in Soft Computing . 2006

机译：三角模的Lipschitz连续性
5. Uniform Lipschitz Continuity of the Isoperimetric Profile of Compact Surfaces Under Normalized Ricci Flow [D] . Zheng, Yizhong. 2020

机译：统一的嘴唇尖端突出表面归一化Ricci流量的紧凑型表面的连续性
6. Logarithmic Lipschitz norms and diffusion-induced instability [O] . Zahra Aminzare, Eduardo D. Sontag -1

机译：对数李氏规范和扩散引发的不稳定
7. The SC¹ property of the squared norm of the SOC Fischer-Burmeister function [O] . Jein-shan Chen, Defeng Sun, Jie Sun 2007

机译：sOC Fischer-Burmeister函数的平方范数的sC¹性质
8. Sharp Inequalities for Lsup(P) - Norms of Matrix Coefficients of Square Integrable Representations of Heisenberg Group and for Lsup(P) - Norms of Wigner Functions [R] . Scutaru, H. 1979

机译：Lsup（p）的尖锐不等式 - Heisenberg群的平方可积表示的矩阵系数范数和Lsup（p） - Wigner函数范数的范数

A note on the Lipschitz continuity of the gradient of the squared norm of the matrix-valued Fischer-Burmeister function

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