  We propose a verification-based Interval-Passing (IP) algorithm for
iteratively reconstruction of nonnegative sparse signals using parity check
matrices of low-density parity check (LDPC) codes as measurement matrices. The
proposed algorithm can be considered as an improved IP algorithm by further
incorporation of the mechanism of verification algorithm. It is proved that the
proposed algorithm performs always better than either the IP algorithm or the
verification algorithm. Simulation results are also given to demonstrate the
superior performance of the proposed algorithm.
