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double **A = c_Ab_A_mR(Ab,i_mR(RA,CA));
double **b = c_Ab_b_mR(Ab,i_mR(RA,Cb));
clrscrn();
printf(" You have this nonlinear system of equations :\n\n");
printf(" a x*y + b x*z + c z**(1/2) = d \n");
printf(" e x*y + f x*z + g z**(1/2) = h \n");
printf(" i x*y + j x*z + k z**(1/2) = l \n\n");
printf(" We write X = x*y; Y = x*z; Z = z**(1/2);\n\n");
printf(" a X + b Y + c Z = d\n");
printf(" e X + f Y + g Z = h\n");
printf(" i X + j Y + k Z = l\n\n");
printf(" Ab :\n");
printf(" a b c d\n");
printf(" e f g h\n");
printf(" i j k l\n\n\n");
stop();
clrscrn();
printf(" With A :");
p_mR(A,S8,P4,C7);
printf(" And b :");
p_mR(b,S8,P4,C7);
printf(" Ab :");
p_mR(Ab,S8,P4,C7);
getchar();
clrscrn();
printf(" Copy/Past into the octave window.\n\n");
p_Octave_mR(Ab,"Ab",P4);
printf("\n rref(Ab.00000000001)\n\n");
printf(" gj_TP_mR(Ab) :");
gj_TP_mR(Ab);
p_mR(Ab,S10,P4,C7);
printf(" You have X= x*y = 15, Y = x*z = 20, Z = z**(1/2) = 2 \n\n");
printf(" These give x = 5, y = 3, z = 4 \n\n\n");
stop();
f_mR(Ab);
f_mR(b);
f_mR(A);
return 0;
/* ------------------------------------ */
Exemple de sortie écran :
You have this nonlinear system of equations :
a x*y + b x*z + c z**(1/2) = d
e x*y + f x*z + g z**(1/2) = h
i x*y + j x*z + k z**(1/2) = l
We write X = x*y; Y = x*z; Z = z**(1/2);
a X + b Y + c Z = d
e X + f Y + g Z = h
i X + j Y + k Z = l
Ab :
a b c d
e f g h
i j k l
Press return to continue.
With A :
-2.0000 -9.0000 +4.0000
-1.0000 +1.0000 -1.0000
+8.0000 +6.0000 -2.0000
And b :
-202.0000
+3.0000
+236.0000
Ab :
-2.0000 -9.0000 +4.0000 -202.0000
-1.0000 +1.0000 -1.0000 +3.0000
+8.0000 +6.0000 -2.0000 +236.0000
Copy/Past into the octave window.
Ab=[
-2.0000,-9.0000,+4.0000,-202.0000;
-1.0000,+1.0000,-1.0000,+3.0000;
+8.0000,+6.0000,-2.0000,+236.0000]
rref(Ab.00000000001)
gj_TP_mR(Ab) :
+1.0000 +0.0000 +0.0000 +15.0000
+0.0000 +1.0000 +0.0000 +20.0000
-0.0000 -0.0000 +1.0000 +2.0000
You have X= x*y = 15, Y = x*z = 20, Z = z**(1/2) = 2
These give x = 5, y = 3, z = 4
Press return to continue.
Mathc matrices/a123
Application
Installer et compiler ces fichiers dans votre répertoire de travail.
/* ------------------------------------ */
/* Save as : c02c.c */
int main(void)
time_t t;
srand(time(&t));
double ta[R3*C4]={ 1,0,0, 16,
0,1,0, 27,
0,0,1, 25};
double **T = ca_A_mR(ta,i_mR(R3,C4));
double **A = r_mR(i_mR(R3,C3),9);
double **AT = mul_mR(A,T,i_mR(R3,C4));
double **Ab = gj_TP_mR(c_mR(AT,i_Abr_Ac_bc_mR(R3,C3,C1)));
printf(" You want to create this nonlinear system of equations :\n");
printf("\n");