文件名称:G-S
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本程序为G-S迭代法,若系数矩阵满足
1.G-S迭代矩阵谱半径小于一
2.jacobi迭代矩阵一范数或无穷范数小于一
3.系数矩阵A正定
4.系数矩阵A严格对角占优或不可约对角占优
则可返回A*x=b的解。算法迭代次数比
x=M*x+g形式的标准化迭代次数多,但所用时间少很多。-The program for the G-S iteration method, if the coefficient matrix
1.G-S iterative matrix spectral radius less than one
2.jacobi iterative matrix norm or the infinity norm of less than one
3 coefficient matrix A Definite
The coefficient matrix A is strictly diagonally dominant or irreducible diagonally dominant
You can return to the A* x = b solution. Algorithm the number of iterations than
x = M* x+ g in the form of standardized number of iterations, but used much less time.
1.G-S迭代矩阵谱半径小于一
2.jacobi迭代矩阵一范数或无穷范数小于一
3.系数矩阵A正定
4.系数矩阵A严格对角占优或不可约对角占优
则可返回A*x=b的解。算法迭代次数比
x=M*x+g形式的标准化迭代次数多,但所用时间少很多。-The program for the G-S iteration method, if the coefficient matrix
1.G-S iterative matrix spectral radius less than one
2.jacobi iterative matrix norm or the infinity norm of less than one
3 coefficient matrix A Definite
The coefficient matrix A is strictly diagonally dominant or irreducible diagonally dominant
You can return to the A* x = b solution. Algorithm the number of iterations than
x = M* x+ g in the form of standardized number of iterations, but used much less time.
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G-S.doc