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- Title
Orthogonal projection decomposition of matrices and construction of fusion frames.
- Authors
Leng, Jinsong; Han, Deguang
- Abstract
We investigate decompositions of positive matrices as weighted sums of orthogonal projections, and apply them to the construction of fusion frames when fusion frame operators are prescribed. Examples are provided to demonstrate the simplicity and flexibility in this practical construction of fusion frames. As an application, we provide an method constructing Parseval fusion frames that are optimal for the one packet erasure problem.
- Subjects
MATHEMATICAL decomposition; ORTHOGRAPHIC projection; MATRICES (Mathematics); UNIVERSAL algebra; ABSTRACT algebra
- Publication
Advances in Computational Mathematics, 2013, Vol 38, Issue 2, p369
- ISSN
1019-7168
- Publication type
Academic Journal
- DOI
10.1007/s10444-011-9241-0