The Nonnegative $ Norm Minimization under Generalized hBcmatrix Measurement

  • Lingchen Kong
  • Ziyan Luo
  • Linxia Qin
  • Naihua Xiu
    • Categories Linear, Cone and Semidefinite Programming Tags , , , Short URL: https://optimization-online.org/?p=12072

    In this paper, we consider the $l_0$ norm minimization problem with linear equation and nonnegativity constraints. By introducing the concept of generalized $Z$-matrix for a rectangular matrix, we show that this $l_0$ norm minimization with such a kind of measurement matrices and nonnegative observations can be exactly solved via the corresponding $l_p$ ($0

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    Beijing Jiaotong University, No.3 Shang Yuan Cun, Hai Dian District Beijing, China. June 2012

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