//=============================================================================
void zgeev_check_value()
{
cout << "############ check zgeev value ############" << endl;
srand(time(NULL));
int M(3);
//// make zgematrix A ////
CPPL::zgematrix A(M,M);
for(int i=0; i<A.m; i++){ for(int j=0; j<A.n; j++){
A(i,j) =complex<double>(rand()/(RAND_MAX/10), rand()/(RAND_MAX/10));
}}
//// make w ////
vector< complex<double> > w;
//// make A_original ////
CPPL::zgematrix A_original(A);
//// zgeev ////
A.zgeev(w);
//// print ////
cout << "A_original=\n" << A_original << endl;
for(int i=0; i<A.m; i++){
cout << "#### " << i << "th eigen ####" << endl;
cout << "w=" << w[i] <<endl;
}
}
//=============================================================================
void zgeev_check_right()
{
cout << "############ check zgeev right ############" << endl;
srand(time(NULL));
int M(3);
//// make zgematrix A ////
CPPL::zgematrix A(M,M);
for(int i=0; i<A.m; i++){ for(int j=0; j<A.n; j++){
A(i,j) =complex<double>(rand()/(RAND_MAX/10), rand()/(RAND_MAX/10));
}}
//// make w v ////
vector< complex<double> > w;
vector<CPPL::zcovector> vr;
//// make A_original ////
CPPL::zgematrix A_original(A);
//// zgeev ////
A.zgeev(w, vr);
//// print ////
cout << "A_original=\n" << A_original << endl;
for(int i=0; i<A.m; i++){
cout << "#### " << i << "th eigen ####" << endl;
cout << "w=" << w[i] <<endl;
cout << "vr=\n" << vr[i] <<endl;
cout << "[A]*{x} -lambda*{x} = (Should be zeros)\n"
<< A_original*vr[i] -w[i]*vr[i] << endl;
}
}
//=============================================================================
void zgeev_check_left()
{
cout << "############ check zgeev left ############" << endl;
//srand(time(NULL));
int M(3);
//// make zgematrix A ////
CPPL::zgematrix A(M,M);
for(int i=0; i<A.m; i++){ for(int j=0; j<A.n; j++){
A(i,j) =complex<double>(rand()/(RAND_MAX/10), rand()/(RAND_MAX/10));
}}
//// make w v ////
vector< complex<double> > w;
vector<CPPL::zrovector> vl;
//// make A_original ////
CPPL::zgematrix A_original(A);
//// zgeev ////
A.zgeev(w, vl);
//// print ////
cout << "A_original=\n" << A_original << endl;
for(int i=0; i<A.m; i++){
cout << "#### " << i << "th eigen ####" << endl;
cout << "w= " << w[i] << endl;
cout << "vl = " << vl[i] << endl;
cout << "{x}*[A] -{x}*lambda = (Should be zeros)\n"
<< vl[i]*A_original -vl[i]*w[i] << endl;
}
}