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Different methods without MKL or IMSL
linearequationssolver's Introduction
flowchart and program control flow
Values |
Define |
A |
Coefficient matrix |
b |
Right side vector |
A|b |
Augmented matrix which contains coefficient matrix A and right side vector b |
iter |
Number of iterations |
Err_limit |
Iterative error |
Lax_factor |
Relaxation factor |
------------- |
----------------------------------------------------------------------------------------- |
L |
Lower triangular matrix of A |
U |
Upper triangular matrix of A |
R |
R =L +U |
D |
Diagonal matrix of A |
M |
M =invertD |
P |
Arrangement matrix |
y |
Intermediate vector in direct methods and jacobi method |
solution |
Repersent x , which defined by A ·x =b |
control flow and flowcharts of Gaussian elimination
control flow and flowcharts of LU decomposition
control flow and flowcharts of Jacobi method
- Input:
A
,b
,iter
,Err_limit
control flow and flowcharts of Gauss–Seidel method
- Input:
A
,b
,iter
,Err_limit
control flow and flowcharts of Successive over-relaxation method
- Input:
A
,b
,iter
,Err_limit
,Lax_factor
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