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Volume 17, Issue 2
On the Linear Convergence of PC-Method for a Class of Linear Variational Inequalities

Nai-Hua Xiu

J. Comp. Math., 17 (1999), pp. 199-208.

Published online: 1999-04

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  • Abstract

This paper studies the linear convergence properties of a class of the projection and contraction methods for the affine variational inequalities, and proposes a necessary and sufficient condition under which PC-Method has a globally linear convergence rate.

  • Keywords

Affine variational inequality, Projection and contraction method, Linear convergence.

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COPYRIGHT: © Global Science Press

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@Article{JCM-17-199, author = {Xiu , Nai-Hua}, title = {On the Linear Convergence of PC-Method for a Class of Linear Variational Inequalities}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {2}, pages = {199--208}, abstract = {

This paper studies the linear convergence properties of a class of the projection and contraction methods for the affine variational inequalities, and proposes a necessary and sufficient condition under which PC-Method has a globally linear convergence rate.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9094.html} }
TY - JOUR T1 - On the Linear Convergence of PC-Method for a Class of Linear Variational Inequalities AU - Xiu , Nai-Hua JO - Journal of Computational Mathematics VL - 2 SP - 199 EP - 208 PY - 1999 DA - 1999/04 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9094.html KW - Affine variational inequality, Projection and contraction method, Linear convergence. AB -

This paper studies the linear convergence properties of a class of the projection and contraction methods for the affine variational inequalities, and proposes a necessary and sufficient condition under which PC-Method has a globally linear convergence rate.

Xiu , Nai-Hua. (1999). On the Linear Convergence of PC-Method for a Class of Linear Variational Inequalities. Journal of Computational Mathematics. 17 (2). 199-208. doi:
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