Article citationsMore>>

A. Chambolle, R. A. De Vore, N. Y. Lee and B. J. Lucier, “Nonlinear Wavelet Image Processing: Variational Problems, Compression, and Noise Removal through Wavelet Shrinkage,” IEEE Transactions on Image Processing, Vol. 7, No. 3, 1998, pp. 319-335. doi:10.1109/83.661182

has been cited by the following article:

• TITLE: A Fixed Point Method for Convex Systems

  AUTHORS: Morteza Kimiaei, Farzad Rahpeymaii

  KEYWORDS: Convex Equations; Least Squares; -Regularization Problems; Fixed Point; Quadratically Convergence

  JOURNAL NAME: Applied Mathematics, Vol.3 No.10A, November 1, 2012

  ABSTRACT: We present a new fixed point technique to solve a system of convex equations in several variables. Our approach is based on two powerful algorithmic ideas: operator-splitting and steepest descent direction. The quadratic convergence of the proposed approach is established under some reasonable conditions. Preliminary numerical results are also reported.