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Sparsifying Sums of Positive Semidefinite Matrices

open access: yes
In this paper, we revisit spectral sparsification for sums of arbitrary positive semidefinite (PSD) matrices. Concretely, for any collection of PSD matrices $\mathcal{A} = \{A_1, A_2, \ldots, A_r\} \subset \mathbb{R}^{n \times n}$, given any subset $T \subseteq [r]$, our goal is to find sparse weights $μ\in \mathbb{R}_{\geq 0}^r$ such that $(1 - ε ...
Basu, Arpon   +3 more
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On ㏒ majorizations for positive semidefinite matrices [PDF]

open access: yesMathematical Inequalities & Applications, 2013
C.-S. Lin, Yeol Je Cho
openaire   +1 more source

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