src/qvmath/qvmatrixalgebra.h

00001 #ifndef QMATRIXALGEBRA_H
00002 #define QMATRIXALGEBRA_H
00003 
00004 #include <qvector.h>
00005 #include <qvmath/qvmatrix.h>
00006 
00016 void singularValueDecomposition(const QVMatrix &M, QVMatrix &U, QVMatrix &V, QVMatrix &S);
00017 
00028 void LUDecomposition(const QVMatrix &M, QVMatrix &L, QVMatrix &U, QVMatrix &P);
00029 
00037 void CholeskyDecomposition(const QVMatrix &M, QVMatrix &L);
00038 
00047 void QRDecomposition(const QVMatrix &M, QVMatrix &Q, QVMatrix &R);
00048 
00055 QVMatrix pseudoInverse(const QVMatrix &M);
00056 
00065 void eigenDecomposition(const QVMatrix &M, QVVector &eigVals, QVMatrix &eigVecs);
00066 
00074 double determinant(const QVMatrix &M);
00075 
00087 double BhattacharyyaDistance(const QVVector &m1, const QVMatrix &S1, const QVVector &m2, const QVMatrix &S2);
00088 
00097 void solveLinear(const QVMatrix &A, QVVector &x, const QVVector &b);
00098 
00107 void solveLinear(const QVMatrix &A, QVMatrix &X, const QVMatrix &B);
00108 
00118 void solveOverDetermined(const QVMatrix &A, QVMatrix &X, const QVMatrix &B);
00119 
00127 void solveHomogeneousLinear(const QVMatrix &A, QVector<double> &x);
00128 
00130 void solveHomogeneousLinear2(const QVMatrix &A, QVector<double> &x);
00131 
00133 double homogLineFromMoments(double x,double y,double xx,double xy,double yy,double &a,double &b,double &c);
00134 
00136 QVVector regressionLine(const QVMatrix &points);
00137 
00138 #endif

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