Eigen中矩阵常见运算示例

常见的矩阵运算包括：转置、逆矩阵、行列式、矩阵加减、乘积，示例如下：

#include<iostream>
#include<Eigen\dense>
using namespace std;
using namespace Eigen;

void main()
{
	MatrixXd m1(3, 3), m2(3, 3);
	m1 << 1, 2, 3, 4, 6, 8, 7, 9, 9;
	m2 << 1, 2, 3, 4, 6, 8, 7, 9, 9;

	MatrixXd m(3, 3);
	//矩阵相加
	m = m1 + m2;
	cout << "m1矩阵为: "<< endl << m1 << endl;
	cout << "m2矩阵为：" << endl << m2 << endl;
	cout << "m1+m2=" << endl << m << endl << endl;

	//矩阵的转置
	cout << "m1的转置为：" << endl << m1.transpose() << endl << endl;

	//矩阵的逆
	cout << "m1的逆矩阵为" << endl << m1.inverse() << endl << endl;

	//矩阵的行列式为
	cout << "m1的行列式为:" << endl << m1.determinant() << endl << endl;

	//矩阵相乘
	cout << "m1*m2为:" << endl << m1*m2 << endl << endl;


	//特征值与特征向量
	EigenSolver<MatrixXd> eigensolver(m1);
	if (eigensolver.info() != Success)
	{
		abort();
	}

	cout << "特征值:" << endl << eigensolver.eigenvalues() << endl << endl;
	cout << "特征向量" << endl << eigensolver.eigenvectors() << endl << endl;
	system("pause");

}

右边截图是MATLAB计算结果。

注意：在使用adjointeigensolver解算特征值与特征向量时，与MATLAB解算的结果是不一样的！！