Contractive symmetric matrix completion problems related to graphs

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초록

In this paper, we consider the contractive real symmetric matrix completion problems motivated in part by studies on sparse (or dense) matrices for weighted sparse recovery problems and rating matrices with rating density in recommender systems. We completely characterize symmetric patterns P with the property (C) that every partially contractive real symmetric matrix with pattern P has a contractive real symmetric completion using graphs.

키워드

Matrix completioncontractive symmetric matrix completionpartial matrix(undirected) graph
제목
Contractive symmetric matrix completion problems related to graphs
저자
Chun, SangminKim, In HyounKim, JaewoongYoon, Jasang
DOI
10.1080/03081087.2022.2066615
발행일
2023-07
유형
Article
저널명
Linear and Multilinear Algebra
71
10
페이지
1597 ~ 1605