Two-dimension iterative method—A unified approach for solving linear equations

1987 ◽  
Vol 4 (3) ◽  
pp. 161-166
Author(s):  
Hu Jiandong ◽  
Liu Xiaoming
Keyword(s):  
Iterative Method ◽  
Linear Equations ◽  
Unified Approach ◽  
Two Dimension

An iterative method for solving partitioned linear equations

Computing ◽  
1975 ◽  
Vol 15 (4) ◽  
pp. 357-363 ◽  
Author(s):  
A. S. Kydes ◽  
R. P. Tewarson
Keyword(s):  
Iterative Method ◽  
Linear Equations

scholarly journals A Preconditioned Iteration Method for Solving Sylvester Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Jituan Zhou ◽  
Ruirui Wang ◽  
Qiang Niu
Keyword(s):  
Iterative Method ◽  
Iteration Method ◽  
Linear Equations ◽  
System Of Linear Equations ◽  
Newton's Iteration ◽  
Gradient Based ◽  
Selection Of

A preconditioned gradient-based iterative method is derived by judicious selection of two auxil- iary matrices. The strategy is based on the Newton’s iteration method and can be regarded as a generalization of the splitting iterative method for system of linear equations. We analyze the convergence of the method and illustrate that the approach is able to considerably accelerate the convergence of the gradient-based iterative method.

scholarly journals Mechanical Analogy-based Iterative Method for Solving a System of Linear Equations

2015 ◽  
Vol 15 (08) ◽  
Author(s):  
Yuri Berchun ◽  
Pavel Burkov ◽  
Ayyyna Chirkova ◽  
Sayyyna Prokopieva ◽  
Dmitri Rabkin ◽  
...  
Keyword(s):  
Iterative Method ◽  
Linear Equations ◽  
System Of Linear Equations ◽  
Mechanical Analogy
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