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# pragma once
# include "Defines.h"
# include "iAlgMath_global.h"
// 矩阵伪逆求解方法之二：
// SVD算法通常涉及到复杂的数学和数值分析技术。
// 本类实现了简化Jacobi迭代SVD算法的框架，
// 并在此基础上实现矩阵求逆（非方矩阵求逆问题）。
// 请注意，这个算法可能需要很多迭代才能收敛，并且没有进行优化以处理数值稳定性问题。
// 如果矩阵较大，本类不一定合适。
class I_ALGMATH_EXPORT zxAlgMatrixPsInvSVD
{
public :
zxAlgMatrixPsInvSVD ( ) ;
~ zxAlgMatrixPsInvSVD ( ) ;
# ifdef QT_DEBUG
void test ( ) ;
# endif
public :
// 计算伪逆矩阵
VVecDouble pseudoInverse ( VVecDouble & A ) ;
private :
// svg
bool svd ( VVecDouble & A ) ;
// sqrt(a^2 + b^2) without under/overflow
double hypot ( double a , double b ) ;
private :
// 缓存
VVecDouble U ;
VVecDouble V ;
VecDouble s ;
int m ;
int n ;
} ;