Suppose I want to solve
$$\min\; \|x\|_0$$ $$\text{st}\; Mx=b$$
with solution $x^*$. What are the known error bounds between $x^*$ and the min two norm solution $\hat x= \arg\min_x\{\|x\|_2: Mx=b\}$? Are there any obvious ones?
Thank you!
Suppose I want to solve
$$\min\; \|x\|_0$$ $$\text{st}\; Mx=b$$
with solution $x^*$. What are the known error bounds between $x^*$ and the min two norm solution $\hat x= \arg\min_x\{\|x\|_2: Mx=b\}$? Are there any obvious ones?
Thank you!
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