Linear Algebra and the C Language/a0kh
Install and compile this file in your working directory.
/* ------------------------------------ */
/* Save as : c00f.c */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
/* ------------------------------------ */
double **X_gj1_T_mR(
double **Ab
)
{
int r= R1;
while(r<Ab[R_SIZE][C0]) /* Select the best pivot */
{
if(fabs(pivotbest_gj1Ab_mR(Ab,r))>ERROR_E)
zero_under_pivot_gj1Ab_mR(Ab,r); /* zero under the pivot */
r++;
}
while(r>R1)
zero_above_pivot_gj1Ab_mR(Ab,--r); /* zero above the pivot */
return(Ab);
}
/* ------------------------------------ */
/* ------------------------------------ */
double **X_gj_TP_mR(
double **Ab
)
{
X_gj1_T_mR(Ab);
/* sort_c_mR(Ab); */
/* sort_r_mR(Ab); */
return(Ab);
}
/* ------------------------------------ */
/* ------------------------------------ */
void fun(int r)
{
double **A = r_mR( i_mR(r,r ),999.);
double **b = r_mR( i_mR(r,C1),999.);
double **Ab = c_A_b_Ab_mR(A,b, i_Abr_Ac_bc_mR(r, r, C1));
/* i_Abr_Ac_bc_mR(RAb, CA, Cb)); */
clrscrn();
printf(" Copy/Paste into the octave window.\n\n");
p_Octave_mR(Ab,"Ab",P0);
printf("\n rref(Ab,.00000000001)\n\n");
stop();
clrscrn();
X_gj_TP_mR(Ab);
printf(" See above for the function code: gj1_T_mR(Ab);\n\n"
" The columns and the rows are not sorted:\n\n"
" gj_TP_mR(Ab);");
p_mR(Ab, S10,P4,C7);
f_mR(Ab);
f_mR(b);
f_mR(A);
}
/* ------------------------------------ */
int main(void)
{
time_t t;
srand(time(&t));
do
{
fun(rp_I(R2)+R2);
} while(stop_w());
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
Screen output example:
Copy/Paste into the octave window.
Ab=[
+854,-24,+671,-649;
+863,-69,+247,+167;
+455,-170,-235,+640]
rref(Ab,.00000000001)
Press return to continue.
See above for the function code: gj1_T_mR(Ab);
The columns and the rows are not sorted:
gj_TP_mR(Ab);
+1.0000 +0.0000 -0.0000 +0.9062
+0.0000 +1.0000 +0.0000 -2.0663
-0.0000 +0.0000 +1.0000 +1.5171
Press return to continue
Press X return to stop