Low-Rank Positive Approximants of Symmetric Matrices

• 作 者: Achiya Dax
• 机 构: HydrologicalService
• 出 处: 线性代数与矩阵理论研究进展(英文)
• 发表日期: 2014年3期
• 关键词: Low-Rank POSITIVE APPROXIMANTS Unitarily INVARIANT MATRIX Norms Low-Rank Positiv

Given a symmetric matrix X, we consider the problem of finding a low-rank positive approximant of X. That is, a symmetric positive semidefinite matrix, S, whose rank is smaller than a given positive integer, , which is nearest to X in a certain matrix nor