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The Null Space Properties of ℓp-αℓq$\ell _p\text{-}\alpha \ell _q$‐Minimization for Sparse Vector Recovery

This paper proves that when the measurement matrix satisfies the ‐ null space property of order , the ‐minimization model can accurately recover any sparse vector. In addition, this paper… Click to show full abstract

This paper proves that when the measurement matrix satisfies the ‐ null space property of order , the ‐minimization model can accurately recover any sparse vector. In addition, this paper proves that when the measurement matrix satisfies ‐ stable null space property of order with constant , the ‐minimization model can stably recover any vector. Finally, this paper proves that the ‐ stable null space property of order with constant is weaker than matrices satisfying the RIP condition under certain conditions.

Keywords: null space; sparse vector; minimization; space

Journal Title: Electronics Letters
Year Published: 2025

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