A unified treatment of some iterative algorithms in signal processing and image reconstruction

C Byrne - Inverse problems, 2003 - iopscience.iop.org
… are iterative in nature. Theprojection onto convex sets (POCS) methods and iterative optimization
… The purpose of this paper is to give a unified treatment of several of these algorithms. …

A unified approach for developing efficient algorithmic programs

J Xue - Journal of computer Science and Technology, 1997 - Springer
… to iterative algorithm. The key for developing correct iterative program is loop invariant.
This is recognized by not only the advocators of formal method of designing algorithms and …

A unified treatment of some perturbed fixed point iterative methods with an infinite pool of operators

T Nikazad, M Abbasi - Inverse Problems, 2017 - iopscience.iop.org
… by fixed point iteration methods; in particular, iterative methods used in … iterative method
which is based on an infinite pool of operators in this subclass. The perturbation resilient iterative

Blind source separation for convolutive mixtures: A unified treatment

H Buchner, R Aichner, W Kellermann - Audio signal processing for next …, 2004 - Springer
… We presented a unified treatment of BSS algorithms for convolutive mixtures. This framework
contains two main principles: Firstly, three fundamental signal properties, nonwhiteness, …

A unified primal-dual algorithm framework based on Bregman iteration

X Zhang, M Burger, S Osher - Journal of Scientific Computing, 2011 - Springer
… The main goal of this paper is to propose a unified algorithm framework for two classes of
convex optimization problems arising from sparse reconstruction. The framework proposed …

An expanded theoretical treatment of iteration-dependent majorize-minimize algorithms

MW Jacobson, JA Fessler - IEEE Transactions on Image …, 2007 - ieeexplore.ieee.org
… siderable design freedom in the iteration-dependent behavior of the algorithm. Finally, we
… of MM algorithms based on connected (eg, convex) tangent majorants. For such algorithms, …

A unified analysis framework for iterative parallel-in-time algorithms

MJ Gander, T Lunet, D Ruprecht, R Speck - SIAM Journal on Scientific …, 2023 - SIAM
… However, one advantage of the GFM-bound over the spectral radius is its generic aspect
allowing it to be applied to many iterative algorithms, even those having an iteration matrix with …

A unified iterative treatment for solutions of problems of split feasibility and equilibrium in Hilbert spaces

YY Huang, CC Hong - Abstract and Applied Analysis, 2013 - Wiley Online Library
… of algorithms for finding solutions of this problem and establish the corresponding strong
convergence theorems for the sequences generated by our algorithms. … through our algorithms. …

A unified approach for inversion problems in intensity-modulated radiation therapy

Y Censor, T Bortfeld, B Martin… - Physics in Medicine & …, 2006 - iopscience.iop.org
… by κ and all subsequent iterations were performed with a stepsize of s = κ. To test the
convergence behaviour with different stepsizes s, we performed iterative algorithmic runs with s = …

Many regression algorithms, one unified model: A review

F Stulp, O Sigaud - Neural Networks, 2015 - Elsevier
… all the algorithms in Table 1 use the same unified model, and they thus all have the same
aim: optimize the values in the ‘unified model parameter vector’. These algorithms only differ in …