===affil2:

===firstname:
Daeshik
===firstname4:

===firstname3:

===lastname2:

===keyword1:
AMG
===lastname:
Choi
===firstname5:

===affil6:

===lastname3:

===email:
dchoi@siue.edu
===keyword2:
Matrix Computations
===keyword_other2:

===lastname6:

===affil5:

===otherauths:

===lastname4:

===affil4:

===lastname7:

===competition:
no
===affil7:

===firstname7:

===postal:
Southern Illinois University Edwardsville
Dept. of Mathematics and Statistics
P.O. Box 1653
Edwardsville, IL, 62026-1653
===firstname6:

===ABSTRACT:
For a given matrix $A$ which is a centrosymmetric and symmetric positive-definite matrix with identical diagonal entries, we analyze the $A$-norm of errors of a two-grid aggregation-based algebraic multigrid method to the linear system $Ax=b$. More precisely, we will show that the $A$-norm of the error at each step is reduced by a constant which can be computed by solving a generalized symmetric positive-definite eigenvalue problem
of size $n/4$, where $n$ is the size of $A$.
===affil3:

===keyword_other1:

===lastname5:

===affilother:

===title:
Analysis of a Two-grid Aggregation-based Algebraic Multigrid Method on centrosymmetric and symmetric positive-definite matrices
===firstname2: