I am trying to do a simple matrix inversion operation using boost. But I am getting an error. Basically what I am trying to find is inversted_matrix = inverse(trans(matrix) * matrix) But I am getting an error
Check failed in file boost_1_53_0/boost/numeric/ublas/lu.hpp at line 299:
detail::expression_type_check (prod (triangular_adaptor<const_matrix_type,
upper> (m), e), cm2)
terminate called after throwing an instance of
'boost::numeric::ublas::internal_logic'
what(): internal logic
Aborted (core dumped)
My attempt:
#include <boost/numeric/ublas/matrix.hpp>
#include <boost/numeric/ublas/vector.hpp>
#include <boost/numeric/ublas/io.hpp>
#include <boost/numeric/ublas/vector_proxy.hpp>
#include <boost/numeric/ublas/matrix.hpp>
#include <boost/numeric/ublas/triangular.hpp>
#include <boost/numeric/ublas/lu.hpp>
namespace ublas = boost::numeric::ublas;
template<class T>
bool InvertMatrix (const ublas::matrix<T>& input, ublas::matrix<T>& inverse) {
using namespace boost::numeric::ublas;
typedef permutation_matrix<std::size_t> pmatrix;
// create a working copy of the input
matrix<T> A(input);
// create a permutation matrix for the LU-factorization
pmatrix pm(A.size1());
// perform LU-factorization
int res = lu_factorize(A,pm);
if( res != 0 )
return false;
// create identity matrix of "inverse"
inverse.assign(ublas::identity_matrix<T>(A.size1()));
// backsubstitute to get the inverse
lu_substitute(A, pm, inverse);
return true;
}
int main(){
using namespace boost::numeric::ublas;
matrix<double> m(4,5);
vector<double> v(4);
vector<double> thetas;
m(0,0) = 1; m(0,1) = 2104; m(0,2) = 5; m(0,3) = 1;m(0,4) = 45;
m(1,0) = 1; m(1,1) = 1416; m(1,2) = 3; m(1,3) = 2;m(1,4) = 40;
m(2,0) = 1; m(2,1) = 1534; m(2,2) = 3; m(2,3) = 2;m(2,4) = 30;
m(3,0) = 1; m(3,1) = 852; m(3,2) = 2; m(3,3) = 1;m(3,4) = 36;
std::cout<<m<<std::endl;
matrix<double> product = prod(trans(m), m);
std::cout<<product<<std::endl;
matrix<double> inversion(5,5);
bool inverted;
inverted = InvertMatrix(product, inversion);
std::cout << inversion << std::endl;
}
Boost Ublas has runtime checks to ensure among other thing numerical stability. If you look at source of the error, you can see that it tries to make sure that U*X = B, X = U^-1*B, U*X = B
(or smth like that) are coorect to within some epsilon. If you have too much deviation numerically this will likely not hold.
You can disable checks via -DBOOST_UBLAS_NDEBUG
or twiddle with BOOST_UBLAS_TYPE_CHECK_EPSILON, BOOST_UBLAS_TYPE_CHECK_MIN
.
由于m
只有4行, prod(trans(m), m)
不能具有高于4的等级,并且由于乘积是5x5矩阵,它必须是单数(即它具有行列式0)并计算a的倒数奇异矩阵就像除以0.将独立行添加到m
来解决这个奇点问题。
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