Toeplitz matrix completion via smoothing augmented Lagrange multiplier algorithm

作者:

Highlights:

• To fill a low-rank Toeplitz matrix from a small subset of its entries.

• Definition of “Toeplitz structure smoothing operator”.

• The augmented Lagrange multiplier algorithm with smoothing for TMC problem.

• Approximation matrices may hold on Toeplitz structure throughout the iteration.

摘要

•To fill a low-rank Toeplitz matrix from a small subset of its entries.•Definition of “Toeplitz structure smoothing operator”.•The augmented Lagrange multiplier algorithm with smoothing for TMC problem.•Approximation matrices may hold on Toeplitz structure throughout the iteration.

论文关键词:Toeplitz matrix,Augmented Lagrange multiplier,Matrix completion,Smoothing

论文评审过程:Available online 16 March 2019, Version of Record 16 March 2019.

论文官网地址:https://doi.org/10.1016/j.amc.2019.02.027