用C语言实现SOR方法

#include "stdlib.h"

#include "stdio.h"

#include "conio.h"

#include "string.h"

#include "math.h"

#define N 100

void cre_sch int n,float *w,float a[N][N],float b[N],float lw[N][N],float fw[N] int i,j,k; float tmp1[N][N],tmp2[N][N],rev[N][N],tmp; for i 0;i n;i++ for j 0;j n;j++ if j i tmp1[i][j] a[i][j]; tmp2[i][j] 1-*w *a[i][j]; rev[i][j] 1; else if j i tmp1[i][j] *w*a[i][j]; tmp2[i][j] 0; rev[i][j] 0; else tmp1[i][j] 0; tmp2[i][j] -*w*a[i][j]; rev[i][j] 0; for j 0;j n;j++ for i 0;i n;i++ for k 0;k j;k++ if i j continue; if i j rev[i][k]* 1/tmp1[j][j]; continue; rev[i][k]+ rev[j][k]* -tmp1[i][j] ; for i 0;i n;i++ for j 0;j n;j++ tmp 0.0; for k 0;k n;k++ tmp+ rev[i][k]*tmp2[k][j]; lw[i][j] tmp; for i 0;i n;i++ tmp 0.0; for k 0;k n;k++ tmp+ *w*rev[i][k]*b[k]; fw[i] tmp; void Table int n,float a[N][N],float b[N],float *w int i,j;

float lw[N][N],fw[N];

printf "Please input the matrix A by row!\n" ; /*请输入矩阵的行*/ for i 0;i n;i++ printf "Row %d:",i+1 ;

for j 0;j n;j++ scanf "%f",&a[i][j] ; printf "Please input the vector b:" ; /*请输入向量b*/

for i 0;i n;i++ scanf "%f",&b[i] ; printf "Input w:" ; scanf "%f",w ; cre_sch n,w,a,b,lw,fw ; printf "\nThe matrix A and vector b:\n" ; /*矩阵A和向量b*/

for i 0;i n;i++ for j 0;j n;j++ printf "%10.5f",a[i][j] ; printf "%10.5f",b[i] ; printf "\n" ; printf "\nThe SOR iterative scheme matrix Lw & vector fw :\n" ;/*SOR迭代 矩阵lw和向量fw */ for i 0;i n;i++ for j 0;j n;j++ printf "%10.5f",lw[i][j] ; printf "%10.5f",fw[i] ; printf "\n" ; void init_vec int n,float x[N] int i; printf "\nPlease input the initial iteration vector x:" ; /*请输入初始迭代向量x*/ for i 0;i n;i++ scanf "%f",&x[i] ; printf "\nThe initial iteration vector x:\n" ; /*初始迭代向量x*/ for i 0;i n;i++ printf "%10.5f",x[i] ; printf "\n" ; void sor int n,float a[N][N],float b[N],float x[N],float w int i,j,k; float p; /*精确度*/ float tmp1,tmp2,x2[N];

printf "输入精确值:\n" ; scanf "%f",&p ; for k 0;;k++ for i 0;i n;i++ x2[i] x[i]; for i 0;i n;i++ tmp1 0.0; tmp2 0.0; for j 0;j i;j++ tmp1+ a[i][j]*x[j];