کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4599320 1631130 2015 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Sparse recovery on Euclidean Jordan algebras
ترجمه فارسی عنوان
بازیابی شدید در جغرافیای اقلیدسی اردن
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

This paper is concerned with the problem of sparse recovery on Euclidean Jordan algebra (SREJA), which includes the sparse signal recovery problem and the low-rank symmetric matrix recovery problem as special cases. We introduce the notions of restricted isometry property (RIP), null space property (NSP), and s-goodness for linear transformations in s-SREJA, all of which provide sufficient conditions for s-sparse recovery via the nuclear norm minimization on Euclidean Jordan algebra. Moreover, we show that both the s-goodness and the NSP are necessary and sufficient conditions for exact s-sparse recovery via the nuclear norm minimization on Euclidean Jordan algebra. Applying these characteristic properties, we establish the exact and stable recovery results for solving SREJA problems via nuclear norm minimization.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 465, 15 January 2015, Pages 65–87
نویسندگان
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