Linear Algebra and the C Language/a04j
Install and compile this file in your working directory.
.png)
/* ------------------------------------ */
/* Save as : c00c.c */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
/* ------------------------------------ */
#define RA R5
#define CA C4
#define Cb C1
/* ------------------------------------ */
#define FACTOR_E +1.E-0
/* ------------------------------------ */
int main(void)
{
double ta[RA*(CA+Cb)]={
// x2 x4 x6 x7
-1, +0, +0, +0,
+1, +1, +0, +0,
+0, +0, +1, -1,
+0, +0, +0, +1,
+0, -1, -1, +0,
};
double tb[RA*(CA+Cb)]={
+20 -50,
+60,
-60,
+90 -20,
+50 -90
};
double **A = ca_A_mR(ta,i_mR(RA,CA));
double **b = ca_A_mR(tb,i_mR(RA,C1));
double **Pinv = i_mR(CA,RA);
double **x = i_mR(CA,C1);
clrscrn();
printf(" A :");
p_mR(A,S5,P1,C6);
printf(" b :");
p_mR(b,S5,P1,C6);
stop();
clrscrn();
printf(" Pinv = V * invS_T * U_T ");
Pinv_Rn_mR(A,Pinv,FACTOR_E);
pE_mR(Pinv,S12,P4,C6);
printf(" x = Pinv * b ");
mul_mR(Pinv,b,x);
p_mR(x,S10,P4,C6);
stop();
f_mR(b);
f_mR(A);
f_mR(Pinv);
f_mR(x);
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
.png)
Screen output example:
A :
-1.0 +0.0 +0.0 +0.0
+1.0 +1.0 +0.0 +0.0
+0.0 +0.0 +1.0 -1.0
+0.0 +0.0 +0.0 +1.0
+0.0 -1.0 -1.0 +0.0
b :
-30.0
+60.0
-60.0
+70.0
-40.0
Press return to continue.
Pinv = V * invS_T * U_T
-8.0000e-01 +2.0000e-01 +2.0000e-01 +2.0000e-01 +2.0000e-01
+6.0000e-01 +6.0000e-01 -4.0000e-01 -4.0000e-01 -4.0000e-01
-4.0000e-01 -4.0000e-01 +6.0000e-01 +6.0000e-01 -4.0000e-01
-2.0000e-01 -2.0000e-01 -2.0000e-01 +8.0000e-01 -2.0000e-01
x = Pinv * b
+30.0000
+30.0000
+10.0000
+70.0000
Press return to continue.