You are presented with multiple paper abstracts, alongside the associated literature review and chapter titles. Given the provided information, you are going to do a literature review. Please generate a coherent literature review that synthesizes the content, draws connections between different works, highlights major findings, and identifies any gaps in the existing research.

Literature Review Title: Image Restoration for Shift Invariant Blurs-A Survey 
Chapter Title:  Iterative Reweighted Least Squares (IRLS) Method 
1. Abstract of Cited Paper (BIB001):  The total variation regularizer is well suited to piecewise smooth images. If we add the fact that these regularizers are convex, we have, perhaps, the reason for the resurgence of interest on TV-based approaches to inverse problems. This paper proposes a new TV-based algorithm for image deconvolution, under the assumptions of linear observations and additive white Gaussian noise. To compute the TV estimate, we propose a majorization-minimization approach, which consists in replacing a difficult optimization problem by a sequence of simpler ones, by relying on convexity arguments. The resulting algorithm has O(N) computational complexity, for finite support convolutional kernels. In a comparison with state-of-the-art methods, the proposed algorithm either outperforms or equals them, with similar computational complexity.

Literature Review:
The IRLS method BIB001 is designed to minimize ℓ norm with rewritten as weighted ℓ norm as where is diagonal of matrix with the current estimate is f (i) & as the pseudo-inverse of . The ℓ norm minimization problem becomes; (47) The idea has been used in total variation-based restoration BIB002 , where the regularizer is .