//=============================================================================
void dsyev_check_value()
{
cout << "############ check dsyev value ############" << endl;
srand(time(NULL));
int N(3);
//// make dsymatrix A ////
CPPL::dsymatrix A(N);
for(int i=0; i<N; i++){ for(int j=0; j<N; j++){
A(i,j) =double( rand() /(RAND_MAX/10) );
}}
//// make wr wi vr ////
vector<double> w;
//// make A_original ////
CPPL::dsymatrix A_original(A);
//// dsyev ////
A.dsyev(w);
//A.dsyev(w,1);
//// print ////
cout << "A=\n" << A << endl;
cout << "A_original=\n" << A_original << endl;
for(int i=0; i<N; i++){
cout << "#### " << i << "th eigen ####" << endl;
cout << "w=" << w[i] <<endl;
}
}
//=============================================================================
void dsyev_check_right()
{
cout << "############ check dsyev right ############" << endl;
srand(time(NULL));
int N(3);
//// make dsymatrix A ////
CPPL::dsymatrix A(N);
for(int i=0; i<A.n; i++){ for(int j=0; j<A.n; j++){
A(i,j) =double( rand() /(RAND_MAX/10) );
}}
//// make wr wi vr ////
vector<double> w;
vector<CPPL::dcovector> v;
//// make A_original ////
CPPL::dsymatrix A_original(A);
//// dsyev ////
A.dsyev(w,v);
//// print ////
cout << "A_original=\n" << A_original << endl;
for(int i=0; i<A.n; i++){
cout << "#### " << i << "th eigen ####" << endl;
cout << "w=" << w[i] <<endl;
cout << "v=\n" << v[i] <<endl;
cout << "[A]*{x} -lambda*{x} = (Should be zeros)\n"
<< A_original*v[i] -w[i]*v[i] << endl;
}
}
//=============================================================================
void dsyev_check_left()
{
cout << "############ check dsyev left ############" << endl;
srand(time(NULL));
int N(3);
//// make dsymatrix A ////
CPPL::dsymatrix A(N);
for(int i=0; i<A.n; i++){ for(int j=0; j<A.n; j++){
A(i,j) =double( rand() /(RAND_MAX/10) );
}}
//// make wr wi vl ////
vector<double> w;
vector<CPPL::drovector> v;
//// make A_original ////
CPPL::dsymatrix A_original(A);
//// dsyev ////
A.dsyev(w, v);
//// print ////
cout << "A_original=\n" << A_original << endl;
for(int i=0; i<A.n; i++){
cout << "#### " << i << "th eigen ####" << endl;
cout << "w = " << w[i] << endl;
cout << "v = " << v[i] << endl;
cout << "{x}*[A] -{x}*lambda = (Should be zeros)\n"
<< v[i]*A_original -v[i]*w[i] << endl;
}
}