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      用c語言矩陣求逆的函數(shù) c語言矩陣求逆代碼

      c語言編寫一個子函數(shù)求矩陣的逆矩陣

      #include stdlib.h

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      #include math.h

      #include stdio.h

      int brinv(double a[], int n)

      { int *is,*js,i,j,k,l,u,v;

      double d,p;

      is=malloc(n*sizeof(int));

      js=malloc(n*sizeof(int));

      for (k=0; k=n-1; k++)

      { d=0.0;

      for (i=k; i=n-1; i++)

      for (j=k; j=n-1; j++)

      { l=i*n+j; p=fabs(a[l]);

      if (pd) { d=p; is[k]=i; js[k]=j;}

      }

      if (d+1.0==1.0)

      { free(is); free(js); printf("err**not inv\n");

      return(0);

      }

      if (is[k]!=k)

      for (j=0; j=n-1; j++)

      { u=k*n+j; v=is[k]*n+j;

      p=a[u]; a[u]=a[v]; a[v]=p;

      }

      if (js[k]!=k)

      for (i=0; i=n-1; i++)

      { u=i*n+k; v=i*n+js[k];

      p=a[u]; a[u]=a[v]; a[v]=p;

      }

      l=k*n+k;

      a[l]=1.0/a[l];

      for (j=0; j=n-1; j++)

      if (j!=k)

      { u=k*n+j; a[u]=a[u]*a[l];}

      for (i=0; i=n-1; i++)

      if (i!=k)

      for (j=0; j=n-1; j++)

      if (j!=k)

      { u=i*n+j;

      a[u]=a[u]-a[i*n+k]*a[k*n+j];

      }

      for (i=0; i=n-1; i++)

      if (i!=k)

      { u=i*n+k; a[u]=-a[u]*a[l];}

      }

      for (k=n-1; k=0; k--)

      { if (js[k]!=k)

      for (j=0; j=n-1; j++)

      { u=k*n+j; v=js[k]*n+j;

      p=a[u]; a[u]=a[v]; a[v]=p;

      }

      if (is[k]!=k)

      for (i=0; i=n-1; i++)

      { u=i*n+k; v=i*n+is[k];

      p=a[u]; a[u]=a[v]; a[v]=p;

      }

      }

      free(is); free(js);

      return(1);

      }

      void brmul(double a[], double b[],int m,int n,int k,double c[])

      { int i,j,l,u;

      for (i=0; i=m-1; i++)

      for (j=0; j=k-1; j++)

      { u=i*k+j; c[u]=0.0;

      for (l=0; l=n-1; l++)

      c[u]=c[u]+a[i*n+l]*b[l*k+j];

      }

      return;

      }

      int main()

      { int i,j;

      static double a[4][4]={ {0.2368,0.2471,0.2568,1.2671},

      {1.1161,0.1254,0.1397,0.1490},

      {0.1582,1.1675,0.1768,0.1871},

      {0.1968,0.2071,1.2168,0.2271}};

      static double b[4][4],c[4][4];

      for (i=0; i=3; i++)

      for (j=0; j=3; j++)

      b[i][j]=a[i][j];

      i=brinv(a,4);

      if (i!=0)

      { printf("MAT A IS:\n");

      for (i=0; i=3; i++)

      { for (j=0; j=3; j++)

      printf("%13.7e ",b[i][j]);

      printf("\n");

      }

      printf("\n");

      printf("MAT A- IS:\n");

      for (i=0; i=3; i++)

      { for (j=0; j=3; j++)

      printf("%13.7e ",a[i][j]);

      printf("\n");

      }

      printf("\n");

      printf("MAT AA- IS:\n");

      brmul(b,a,4,4,4,c);

      for (i=0; i=3; i++)

      { for (j=0; j=3; j++)

      printf("%13.7e ",c[i][j]);

      printf("\n");

      }

      }

      }

      c語言矩陣求逆

      下面是實現(xiàn)Gauss-Jordan法實矩陣求逆。

      #include stdlib.h

      #include math.h

      #include stdio.h

      int brinv(double a[], int n)

      { int *is,*js,i,j,k,l,u,v;

      double d,p;

      is=malloc(n*sizeof(int));

      js=malloc(n*sizeof(int));

      for (k=0; k=n-1; k++)

      { d=0.0;

      for (i=k; i=n-1; i++)

      for (j=k; j=n-1; j++)

      { l=i*n+j; p=fabs(a[l]);

      if (pd) { d=p; is[k]=i; js[k]=j;}

      }

      if (d+1.0==1.0)

      { free(is); free(js); printf("err**not inv\n");

      return(0);

      }

      if (is[k]!=k)

      for (j=0; j=n-1; j++)

      { u=k*n+j; v=is[k]*n+j;

      p=a[u]; a[u]=a[v]; a[v]=p;

      }

      if (js[k]!=k)

      for (i=0; i=n-1; i++)

      { u=i*n+k; v=i*n+js[k];

      p=a[u]; a[u]=a[v]; a[v]=p;

      }

      l=k*n+k;

      a[l]=1.0/a[l];

      for (j=0; j=n-1; j++)

      if (j!=k)

      { u=k*n+j; a[u]=a[u]*a[l];}

      for (i=0; i=n-1; i++)

      if (i!=k)

      for (j=0; j=n-1; j++)

      if (j!=k)

      { u=i*n+j;

      a[u]=a[u]-a[i*n+k]*a[k*n+j];

      }

      for (i=0; i=n-1; i++)

      if (i!=k)

      { u=i*n+k; a[u]=-a[u]*a[l];}

      }

      for (k=n-1; k=0; k--)

      { if (js[k]!=k)

      for (j=0; j=n-1; j++)

      { u=k*n+j; v=js[k]*n+j;

      p=a[u]; a[u]=a[v]; a[v]=p;

      }

      if (is[k]!=k)

      for (i=0; i=n-1; i++)

      { u=i*n+k; v=i*n+is[k];

      p=a[u]; a[u]=a[v]; a[v]=p;

      }

      }

      free(is); free(js);

      return(1);

      }

      void brmul(double a[], double b[],int m,int n,int k,double c[])

      { int i,j,l,u;

      for (i=0; i=m-1; i++)

      for (j=0; j=k-1; j++)

      { u=i*k+j; c[u]=0.0;

      for (l=0; l=n-1; l++)

      c[u]=c[u]+a[i*n+l]*b[l*k+j];

      }

      return;

      }

      int main()

      { int i,j;

      static double a[4][4]={ {0.2368,0.2471,0.2568,1.2671},

      {1.1161,0.1254,0.1397,0.1490},

      {0.1582,1.1675,0.1768,0.1871},

      {0.1968,0.2071,1.2168,0.2271}};

      static double b[4][4],c[4][4];

      for (i=0; i=3; i++)

      for (j=0; j=3; j++)

      b[i][j]=a[i][j];

      i=brinv(a,4);

      if (i!=0)

      { printf("MAT A IS:\n");

      for (i=0; i=3; i++)

      { for (j=0; j=3; j++)

      printf("%13.7e ",b[i][j]);

      printf("\n");

      }

      printf("\n");

      printf("MAT A- IS:\n");

      for (i=0; i=3; i++)

      { for (j=0; j=3; j++)

      printf("%13.7e ",a[i][j]);

      printf("\n");

      }

      printf("\n");

      printf("MAT AA- IS:\n");

      brmul(b,a,4,4,4,c);

      for (i=0; i=3; i++)

      { for (j=0; j=3; j++)

      printf("%13.7e ",c[i][j]);

      printf("\n");

      }

      }

      }

      C語言編程:編寫一個函數(shù)求逆矩陣

      #include?stdio.h

      #include?stdlib.h

      #include?malloc.h

      void?MatrixOpp(double?*A,?int?m,?int?n,?double*?invmat);

      void?MatrixInver(double?*A,?int?m,?int?n,?double*?invmat);

      double?Surplus(double?A[],?int?m,?int?n);

      int?matrix_inv(double*?p,?int?num,?double*?invmat);

      void?MatrixOpp(double?A[],?int?m,?int?n,?double*?invmat)

      {

      int?i,?j,?x,?y,?k;

      double?*SP?=?NULL,?*AB?=?NULL,?*B?=?NULL,?X;

      SP?=?(double?*)?malloc(m?*?n?*?sizeof(double));

      AB?=?(double?*)?malloc(m?*?n?*?sizeof(double));

      B?=?(double?*)?malloc(m?*?n?*?sizeof(double));

      X?=?Surplus(A,?m,?n);

      X?=?1?/?X;

      for?(i?=?0;?i??m;?i++)

      for?(j?=?0;?j??n;?j++)

      {

      for?(k?=?0;?k??m?*?n;?k++)

      B[k]?=?A[k];

      {

      for?(x?=?0;?x??n;?x++)

      B[i?*?n?+?x]?=?0;

      for?(y?=?0;?y??m;?y++)

      B[m?*?y?+?j]?=?0;

      B[i?*?n?+?j]?=?1;

      SP[i?*?n?+?j]?=?Surplus(B,?m,?n);

      AB[i?*?n?+?j]?=?X?*?SP[i?*?n?+?j];

      }

      }

      MatrixInver(AB,?m,?n,?invmat);

      free(SP);

      free(AB);

      free(B);

      }

      void?MatrixInver(double?A[],?int?m,?int?n,?double*?invmat)

      {

      int?i,?j;

      double?*B?=?invmat;

      for?(i?=?0;?i??n;?i++)

      for?(j?=?0;?j??m;?j++)

      B[i?*?m?+?j]?=?A[j?*?n?+?i];

      }

      double?Surplus(double?A[],?int?m,?int?n)

      {

      int?i,?j,?k,?p,?r;

      double?X,?temp?=?1,?temp1?=?1,?s?=?0,?s1?=?0;

      if?(n?==?2)

      {

      for?(i?=?0;?i??m;?i++)

      for?(j?=?0;?j??n;?j++)

      if?((i?+?j)?%?2)

      temp1?*=?A[i?*?n?+?j];

      else

      temp?*=?A[i?*?n?+?j];

      X?=?temp?-?temp1;

      }

      else

      {

      for?(k?=?0;?k??n;?k++)

      {

      for?(i?=?0,?j?=?k;?i??m,?j??n;?i++,?j++)

      temp?*=?A[i?*?n?+?j];

      if?(m?-?i)

      {

      for?(p?=?m?-?i,?r?=?m?-?1;?p??0;?p--,?r--)

      temp?*=?A[r?*?n?+?p?-?1];

      }

      s?+=?temp;

      temp?=?1;

      }

      for?(k?=?n?-?1;?k?=?0;?k--)

      {

      for?(i?=?0,?j?=?k;?i??m,?j?=?0;?i++,?j--)

      temp1?*=?A[i?*?n?+?j];

      if?(m?-?i)

      {

      for?(p?=?m?-?1,?r?=?i;?r??m;?p--,?r++)

      temp1?*=?A[r?*?n?+?p];

      }

      s1?+=?temp1;

      temp1?=?1;

      }

      X?=?s?-?s1;

      }

      return?X;

      }

      int?matrix_inv(double*?p,?int?num,?double*?invmat)

      {

      if?(p?==?NULL?||?invmat?==?NULL)

      {

      return?1;

      }

      if?(num??10)

      {

      return?2;

      }

      MatrixOpp(p,?num,?num,?invmat);

      return?0;

      }

      int?main()

      {

      int?i,?j;

      int?num;

      double?*arr=NULL;

      double?*result=NULL;

      int?flag;

      printf("請輸入矩陣維數(shù):\n");

      scanf("%d",num);

      arr=(double?*)malloc(sizeof(double)*num*num);

      result=(double?*)malloc(sizeof(double)*num*num);

      printf("請輸入%d*%d矩陣:\n",?num,?num);

      for?(i?=?0;?i??num;?i++)

      {

      for?(j?=?0;?j??num;?j++)

      {

      scanf("%lf",?arr[i?*?num?+?j]);

      }

      }

      flag?=?matrix_inv(arr,?num,?result);

      if(flag==0)

      {

      printf("逆矩陣為:\n");

      for?(i?=?0;?i??num?*?num;?i++)

      {

      printf("%lf\t?",?*(result?+?i));

      if?(i?%?num?==?(num?-?1))

      printf("\n");

      }

      }

      else?if(flag==1)

      {

      printf("p/q為空\n");

      }

      else

      {

      printf("超過最大維數(shù)\n");

      }

      system("PAUSE");

      free(arr);

      free(result);

      return?0;

      }

      C語言 求矩陣的逆

      //源程序如下#includestdio.h

      #includeconio.h

      #includestring.h

      #includeiostream.h

      #includestdlib.h

      #includemath.h

      #define max 100void inputstyle(int *); //輸入函數(shù)

      void input(int **,int); //輸入函數(shù)

      long danx(int **,int);

      int sgnx(int);

      void martx(int **,int);int main(void)

      {

      int style=0,i=0;

      int matrix[max][max],*p[max];

      for(i=0;imax;i++)*(p+i)=matrix[i]; //*(p+i)是指針,指向第i個字符串

      char exit1=' ';

      while(exit1!='E' exit1!='e'){ printf("求n階矩陣的逆\n"); inputstyle(style);

      input(p,style);

      printf("原矩陣為:\n");

      for(i=0;istyle;i++){

      for(int j=0;jstyle;j++){

      printf("%4d",matrix[i][j]);

      }

      printf("\n");

      }

      martx(p,style);

      printf("\n");

      printf("Exit=e Continue=Press any key\n");

      cinexit1;

      fflush(stdin);

      printf("\n\n"); }

      return(0);

      } void input(int **p,int n){

      for(int i=0;in;i++){

      for(int j=0;jn;j++){

      printf("輸入矩陣(%d行,%d列)元素:",j+1,i+1);

      *(*(p+j)+i)=0;

      scanf("%d",*(p+j)+i);

      fflush(stdin);

      }

      }

      }void inputstyle(int *style){

      do{

      printf("輸入矩陣n*n階數(shù)n(0n%d):",max);

      fflush(stdin);

      scanf("%d",style);

      fflush(stdin);

      }while(*style=0 *stylemax);

      }long danx(int **p,int n){

      int i=0,j1=0,k1=0,j2=0,k2=0;

      long sum=0;

      int operate[max][max],*po[max];

      for(i=0;imax;i++)*(po+i)=operate[i]; if(n==1)return *(*(p+0)+0);

      else{

      for(i=0;in;i++){

      for(j1=1,j2=0;j1n;j1++,j2++){

      k1=-1;k2=-1;

      while(k2n-1){

      k1++;

      k2++;

      if(k1==i)k1++;

      *(*(po+j2)+k2)=*(*(p+j1)+k1);

      }

      }

      /*for(int i1=0;i1n-1;i1++){

      for(int h1=0;h1n-1;h1++){

      printf("(%d,%d)%d ",i1,h1,*(*(po+h1)+i1));

      }

      printf("\n");

      }*/

      sum+=*(*(p+0)+i) * sgnx(1+i+1) * danx(po,n-1);

      }

      return sum;

      }

      }int sgnx(int i){

      if(i%2==0)return(1);

      else return(-1);

      }void martx(int **p,int n){

      int i=0,j=0,j1=0,k1=0,j2=0,k2=0,num=0;

      int tramform[max][max];

      int operate[max][max],*po[max];

      for(i=0;imax;i++)*(po+i)=operate[i];

      num=danx(p,n);

      if(num==0)printf("矩陣不可逆\n");

      else{

      if(n==1)printf("矩陣的逆為: 1/%d\n",num);

      else{

      printf("矩陣的逆為: 系數(shù) 1/%d *\n",num);

      for(i=0;in;i++){

      for(j=0;jn;j++){

      j1=-1;j2=-1;

      while(j2n-1){

      j1++;j2++;

      if(j1==j)j1++; k1=-1;k2=-1;

      while(k2n-1){

      k1++;

      k2++;

      if(k1==i)k1++;

      *(*(po+j2)+k2)=*(*(p+j1)+k1);

      }

      }

      tramform[i][j]=sgnx(2+i+j) * danx(po,n-1);

      }

      }

      for(i=0;in;i++){

      for(j=0;jn;j++){

      printf("%4d",tramform[i][j]);

      }

      printf("\n");

      }

      }

      }

      }

      //運行結(jié)果//希望對你有幫助


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      1. <ul id="0c1fb"></ul>

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