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In Section 2, we introduce the (l_{2,1}) robust block NSP that can characterize the stability and robustness of the (l_{1} -minimization with noisy measurement (9).
The (l_{2,1}) robust block NSP is vital to characterize the stability and robustness of the (l_{2}/l_{1} -minimization with noisy measurement (9), which is the following result.
A natural question is what relationship between this robust block NSP and the block RIP.
A robust block generation program is developed to model the non-persistent discontinuities.
In Section 3, we show that the condition (10) can conclude the (l_{2,1}) robust block NSP, which means to implement the proof of our main result.
This means that we shall only show that the condition (10) implies the (l_{2,1}) robust block NSP for implementing the proof of our main result.
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