Convergence Results of the Improving Modified Gauss-Seidel (IMGS) Iterative Method for a Symmetric Positive Definite Matrix

2014 ◽  
Vol 989-994 ◽  
pp. 1794-1797
Author(s):  
Shi Guang Zhang ◽  
Ting Zhou
Keyword(s):  
Linear System ◽  
Iterative Method ◽  
Convergence Rates ◽  
Positive Definite Matrix ◽  
Positive Definite ◽  
Symmetric Positive Definite Matrix ◽  
Symmetric Positive Definite ◽  
Convergence Results ◽  
Comparison Results

In this paper, in order to improve the convergence rates of iterative method solving the linear system, the improving modified Gauss-Seidel (IMGS) iterative method with a preconditioner is proposed. Some convergence and comparison results are given when is a symmetric definite matrix are provided.

scholarly journals A randomized algorithm for approximating the log determinant of a symmetric positive definite matrix

2017 ◽  
Vol 533 ◽  
pp. 95-117 ◽  
Author(s):  
Christos Boutsidis ◽  
Petros Drineas ◽  
Prabhanjan Kambadur ◽  
Eugenia-Maria Kontopoulou ◽  
Anastasios Zouzias
Keyword(s):  
Randomized Algorithm ◽  
Positive Definite Matrix ◽  
Positive Definite ◽  
Symmetric Positive Definite Matrix ◽  
Symmetric Positive Definite
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