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Mathc complexes/02v

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Application


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c00a.c
/* ------------------------------------ */
/*  Save as :   c00a.c                  */
/* ------------------------------------ */
#include "w_a.h"
/* ------------------------------------ */
#define RCA          RC6       
/* ------------------------------------ */
void fun(void)
{                            
double a[RCA*(RCA*C2)] ={   
+2.547682339,+0.000000000, -0.152948221,-0.240121509, -0.155610012,-0.195690152, -0.298057299,-0.136017286, +0.269130276,-0.188132110, -0.030470880,+0.242003023, 
-0.152948221,+0.240121509, +2.509208904,-0.000000000, -0.155129068,+0.324099386, +0.216564361,-0.033484580, -0.042828351,-0.496677449, +0.294488953,+0.063493335, 
-0.155610012,+0.195690152, -0.155129068,-0.324099386, +2.260239854,-0.000000000, -0.143493743,+0.368327431, +0.532444321,-0.134971208, +0.126713301,-0.110092820, 
-0.298057299,+0.136017286, +0.216564361,+0.033484580, -0.143493743,-0.368327431, +2.122680989,+0.000000000, +0.151516032,+0.128430424, -0.310946484,-0.029309153, 
+0.269130276,+0.188132110, -0.042828351,+0.496677449, +0.532444321,+0.134971208, +0.151516032,-0.128430424, +2.282218238,-0.000000000, +0.206791187,+0.000458645, 
-0.030470880,-0.242003023, +0.294488953,-0.063493335, +0.126713301,+0.110092820, -0.310946484,+0.029309153, +0.206791187,-0.000458645, +2.277969677,+0.000000000  
}; 
  
double v[RCA*(RCA*C2)] ={ 
//	 This is the copy of V2 of the last file
-0.602212108,-0.197619446, +0.307741070,-0.385245122, -0.469280304,+0.016495099,    -0.035632010,+0.501260535, -0.353889608,-0.071809365,  +0.161955266,-0.242932899, 
+0.571949714,-0.319588195, -0.234041354,-0.097520343, +0.659450230,-0.042946794,    -0.082379706,+0.334090099, -0.331083544,+0.036132621,  -0.364399349,-0.202444082,
-0.151354225,-0.120711483, +0.504304725,+0.168627883, -0.000973596,-0.461193853,    +0.038538669,-0.094800033, -0.105801002,+0.359575937,  +0.080977632,-0.485865798, 
+0.362690886,-0.000000000, +0.000000000,-0.000000000, -0.000000000,-0.000000000,    +0.622785543,+0.345062820, +0.002742500,+0.493616159,  +0.404888165,-0.080977633, 
+0.000000000,+0.000000000, +0.640185472,+0.000000000, +0.000000000,+0.000000000,    +0.334160392,+0.000000000, +0.000000000,-0.000000000,  -0.323910532,+0.404888165, 
+0.000000000,+0.000000000, -0.000000000,+0.000000000, +0.360671813,+0.000000000,    +0.000000000,+0.000000000, +0.611989004,+0.000000000,  +0.242932899,-0.000000000 }; 
                       
double **A         =  ca_A_mZ(a, i_mZ(RCA,RCA));
double **V         =  ca_A_mZ(v, i_mZ(RCA,RCA));
double **invV      = invgj_mZ(V, i_mZ(RCA,RCA));
double **T         =             i_mZ(RCA,RCA);
double **EigsValue =             i_mZ(RCA,RCA);

  clrscrn();
  printf(" A :");
  p_mZ(A, S8,P4, S6,P4, C4);
  stop();

  clrscrn();
  printf(" V :");
  p_mZ(V, S8,P4, S6,P4, C4); 
  stop();

  clrscrn();
  printf(" invV :");
  p_mZ(invV, S8,P4, S6,P4, C4);
  stop();

  clrscrn();   
  printf(" EigsValue : invV * A * V");
  mul_mZ(invV,A,T);
  mul_mZ(T,V,EigsValue); 
    p_mZ(clean_eyes_mZ(EigsValue), S8,P2, S6,P2, C4);
  stop();

  clrscrn(); 
  printf(" A :");
  p_mZ(A, S8,P4, S6,P4, C4); 
  stop();

  clrscrn();  
  printf(" A = V * EigsValue * invV");
  mul_mZ(V,EigsValue,T);
  mul_mZ(T,invV,A); 
    p_mZ(A, S8,P4, S6,P4, C4); 
  stop();
          
  f_mZ(A);
  f_mZ(V);  
  f_mZ(invV);  
  f_mZ(T);  
  f_mZ(EigsValue);
}
/* ------------------------------------ */
int main(void)
{
  fun();

  return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */



Vérifier les calculs



Exemple de sortie écran :

 A :
 +2.5477+0.0000i  -0.1529-0.2401i  -0.1556-0.1957i  -0.2981-0.1360i 
 -0.1529+0.2401i  +2.5092-0.0000i  -0.1551+0.3241i  +0.2166-0.0335i 
 -0.1556+0.1957i  -0.1551-0.3241i  +2.2602-0.0000i  -0.1435+0.3683i 
 -0.2981+0.1360i  +0.2166+0.0335i  -0.1435-0.3683i  +2.1227+0.0000i 
 +0.2691+0.1881i  -0.0428+0.4967i  +0.5324+0.1350i  +0.1515-0.1284i 
 -0.0305-0.2420i  +0.2945-0.0635i  +0.1267+0.1101i  -0.3109+0.0293i 

 +0.2691-0.1881i  -0.0305+0.2420i 
 -0.0428-0.4967i  +0.2945+0.0635i 
 +0.5324-0.1350i  +0.1267-0.1101i 
 +0.1515+0.1284i  -0.3109-0.0293i 
 +2.2822-0.0000i  +0.2068+0.0005i 
 +0.2068-0.0005i  +2.2780+0.0000i 

 Press return to continue. 


 V :
 -0.6022-0.1976i  +0.3077-0.3852i  -0.4693+0.0165i  -0.0356+0.5013i 
 +0.5719-0.3196i  -0.2340-0.0975i  +0.6595-0.0429i  -0.0824+0.3341i 
 -0.1514-0.1207i  +0.5043+0.1686i  -0.0010-0.4612i  +0.0385-0.0948i 
 +0.3627-0.0000i  +0.0000-0.0000i  -0.0000-0.0000i  +0.6228+0.3451i 
 +0.0000+0.0000i  +0.6402+0.0000i  +0.0000+0.0000i  +0.3342+0.0000i 
 +0.0000+0.0000i  -0.0000+0.0000i  +0.3607+0.0000i  +0.0000+0.0000i 

 -0.3539-0.0718i  +0.1620-0.2429i 
 -0.3311+0.0361i  -0.3644-0.2024i 
 -0.1058+0.3596i  +0.0810-0.4859i 
 +0.0027+0.4936i  +0.4049-0.0810i 
 +0.0000-0.0000i  -0.3239+0.4049i 
 +0.6120+0.0000i  +0.2429-0.0000i 

 Press return to continue. 


 invV :
 -0.5868+0.6101i  +0.2355+0.3997i  -0.1968-0.4912i  +0.8083+0.0000i 
 +0.1848+0.2734i  -0.0106+0.4429i  +0.4834+0.0162i  -0.0194+0.0145i 
 +0.0246-0.5073i  +0.5711-0.0397i  +0.4059+0.6325i  -0.5894+0.1358i 
 +0.0973-0.4845i  -0.0877-0.2108i  -0.2590+0.3418i  +0.5277-0.4398i 
 -0.0788+0.2026i  -0.1919-0.0570i  -0.2713-0.5656i  +0.1866-0.1122i 
 +0.1620+0.2429i  -0.3644+0.2024i  +0.0810+0.4859i  +0.4049+0.0810i 

 -0.0342-0.0256i  -0.5861-0.1350i 
 +0.8608-0.0000i  +0.2001+0.1544i 
 +0.3552-0.2740i  +0.9343+0.0000i 
 +0.5389+0.0000i  -0.1479-0.5901i 
 -0.0807+0.3222i  +0.9869+0.0000i 
 -0.3239-0.4049i  +0.2429-0.0000i 

 Press return to continue. 


 EigsValue : invV * A * V
   +3.00 +0.00i    +0.00 +0.00i    +0.00 +0.00i    +0.00 +0.00i 
   +0.00 +0.00i    +3.00 +0.00i    +0.00 +0.00i    +0.00 +0.00i 
   +0.00 +0.00i    +0.00 +0.00i    +3.00 -0.00i    +0.00 +0.00i 
   +0.00 +0.00i    +0.00 +0.00i    +0.00 +0.00i    +2.00 -0.00i 
   +0.00 +0.00i    +0.00 +0.00i    +0.00 +0.00i    +0.00 +0.00i 
   +0.00 +0.00i    +0.00 +0.00i    +0.00 +0.00i    +0.00 +0.00i 

   +0.00 +0.00i    +0.00 +0.00i 
   +0.00 +0.00i    +0.00 +0.00i 
   +0.00 +0.00i    +0.00 +0.00i 
   +0.00 +0.00i    +0.00 +0.00i 
   +2.00 +0.00i    +0.00 +0.00i 
   +0.00 +0.00i    +1.00 -0.00i 

 Press return to continue. 


 A :
 +2.5477+0.0000i  -0.1529-0.2401i  -0.1556-0.1957i  -0.2981-0.1360i 
 -0.1529+0.2401i  +2.5092-0.0000i  -0.1551+0.3241i  +0.2166-0.0335i 
 -0.1556+0.1957i  -0.1551-0.3241i  +2.2602-0.0000i  -0.1435+0.3683i 
 -0.2981+0.1360i  +0.2166+0.0335i  -0.1435-0.3683i  +2.1227+0.0000i 
 +0.2691+0.1881i  -0.0428+0.4967i  +0.5324+0.1350i  +0.1515-0.1284i 
 -0.0305-0.2420i  +0.2945-0.0635i  +0.1267+0.1101i  -0.3109+0.0293i 

 +0.2691-0.1881i  -0.0305+0.2420i 
 -0.0428-0.4967i  +0.2945+0.0635i 
 +0.5324-0.1350i  +0.1267-0.1101i 
 +0.1515+0.1284i  -0.3109-0.0293i 
 +2.2822-0.0000i  +0.2068+0.0005i 
 +0.2068-0.0005i  +2.2780+0.0000i 

 Press return to continue. 


 A = V * EigsValue * invV
 +2.5477-0.0000i  -0.1529-0.2401i  -0.1556-0.1957i  -0.2981-0.1360i 
 -0.1529+0.2401i  +2.5092+0.0000i  -0.1551+0.3241i  +0.2166-0.0335i 
 -0.1556+0.1957i  -0.1551-0.3241i  +2.2602+0.0000i  -0.1435+0.3683i 
 -0.2981+0.1360i  +0.2166+0.0335i  -0.1435-0.3683i  +2.1227+0.0000i 
 +0.2691+0.1881i  -0.0428+0.4967i  +0.5324+0.1350i  +0.1515-0.1284i 
 -0.0305-0.2420i  +0.2945-0.0635i  +0.1267+0.1101i  -0.3109+0.0293i 

 +0.2691-0.1881i  -0.0305+0.2420i 
 -0.0428-0.4967i  +0.2945+0.0635i 
 +0.5324-0.1350i  +0.1267-0.1101i 
 +0.1515+0.1284i  -0.3109-0.0293i 
 +2.2822-0.0000i  +0.2068+0.0005i 
 +0.2068-0.0005i  +2.2780+0.0000i 

 Press return to continue.
Récupérée de « https://fr.wikibooks.org/w/index.php?title=Mathc_complexes/02v&oldid=728832 »