/**
* @return bool
*/
public function solvable()
{
return $this->coefficients->invertible();
}
/**
* https://en.wikipedia.org/wiki/Power_iteration
* @param MatrixInterface $matrix
* @return Vector
*/
public function getEigenVector(MatrixInterface $matrix)
{
$iterations = 20000;
$dim = $matrix->rows();
for ($i = 0; $i < $dim; $i++) {
$value[] = 1;
}
$b = new Vector($value);
for ($i = 0; $i < $iterations; $i++) {
$b = $this->multiply($matrix, $b->toColumnMatrix())->toVector();
$b = $b->scalarMultiply(1 / $b->norm());
}
return $b;
}