Two-dimensional iterative adaptive approach for sparse matrix solution

The two-dimensional iterative adaptive approach (2D IAA) algorithm which directly solves 2D sparse signal models is developed. Simulation results show that the 2D IAA achieves a much lower computational cost compared to its 1D version. Also, the 2D IAA has a better performance in sparse reconstruction compared to the spectral projected gradient for l₁-norm minimisation and smoothed L0 algorithms.