A relaxation stratery for the modified Newton method

1975 ◽  
pp. 59-73 ◽  
Author(s):  
Peter Deuflhard
Keyword(s):  
Newton Method ◽  
Modified Newton Method

scholarly journals A Modified Newton Method for Multilinear PageRank

2018 ◽  
Vol 22 (5) ◽  
pp. 1161-1171
Author(s):  
Pei-Chang Guo ◽  
Shi-Chen Gao ◽  
Xiao-Xia Guo
Keyword(s):  
Newton Method ◽  
Modified Newton Method

scholarly journals A Fast Sparse Recovery Algorithm for Compressed Sensing Using Approximate l0 Norm and Modified Newton Method

Materials ◽  
2019 ◽  
Vol 12 (8) ◽  
pp. 1227 ◽  
Author(s):  
Dingfei Jin ◽  
Yue Yang ◽  
Tao Ge ◽  
Daole Wu
Keyword(s):  
Compressed Sensing ◽  
Newton Method ◽  
Simulation Experiment ◽  
Sparse Recovery ◽  
Signal Recovery ◽  
Recovery Efficiency ◽  
Recovery Algorithm ◽  
Modified Newton Method ◽  
Computer Simulation Experiment ◽  
Recovery Algorithms

In this paper, we propose a fast sparse recovery algorithm based on the approximate l0 norm (FAL0), which is helpful in improving the practicability of the compressed sensing theory. We adopt a simple function that is continuous and differentiable to approximate the l0 norm. With the aim of minimizing the l0 norm, we derive a sparse recovery algorithm using the modified Newton method. In addition, we neglect the zero elements in the process of computing, which greatly reduces the amount of computation. In a computer simulation experiment, we test the image denoising and signal recovery performance of the different sparse recovery algorithms. The results show that the convergence rate of this method is faster, and it achieves nearly the same accuracy as other algorithms, improving the signal recovery efficiency under the same conditions.

scholarly journals Performance analysis of a modified Newton method for parameterized dual fuzzy nonlinear equations and its application

2022 ◽  
pp. 105140
Author(s):  
Ibrahim Mohammed Sulaiman ◽  
Mustafa Mamat ◽  
Maulana Malik ◽  
Kottakkaran Sooppy Nisar ◽  
Ashraf Elfasakhany
Keyword(s):  
Performance Analysis ◽  
Nonlinear Equations ◽  
Newton Method ◽  
Modified Newton Method
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