FMatrix

Full matrix of T

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int m() const ;

Number of rows

  int m() const              
;

Function is currently defined inline.

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int n() const ;

Number of columns

  int n() const              
;

Function is currently defined inline.

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FMatrix(int m ,int n ) ;

Constructor for rectangular matrices with m rows and n columns.

  FMatrix(int m=M,int n=N)            
;

Function is currently defined inline.

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~FMatrix() ;

Destructor.

  ~FMatrix()  
;

Function is currently defined inline.

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void reinit() ;

Reinitialization of rectangular matrix.

  void reinit()            
;

Function is currently defined inline.

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void reinit(int m, int n) ;

Reinitialization of rectangular matrix.

  void reinit(int m, int n)            
;

Function is currently defined inline.

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void reinit(int n) ;

Reinitialization of quadratic matrix

  void reinit(int n)            
;

Function is currently defined inline.

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void reinit(const FMatrix& A) ;

Reinitialization to the same dimensions of another matrix.

  void reinit(const FMatrix& A)                          
;

Function is currently defined inline.

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T operator() (int i, int j) const ;

Read access to matrix elements.

  T operator() (int i, int j) const
                                                  ;

Function is currently defined inline.

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T& operator() (int i, int j) ;

Read-Write access to matrix elements

  T& operator() (int i, int j)
                                                  ;

Function is currently defined inline.

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FMatrix& operator = (const FMatrix&);

Assignment operator

  FMatrix& operator = (const FMatrix&);

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void add(double s, const FMatrix& src);

  void add(double s, const FMatrix& src);

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void add_diag(double s, const FMatrix& src);

  void add_diag(double s, const FMatrix& src);

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void Tadd(double s, const FMatrix& src);

  void Tadd(double s, const FMatrix& src);

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void add_row(int i, double s, int j);

Add different rows of a matrix

a(i,.) += s * a(j,.)

  void add_row(int i, double s, int j);

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void add_row(int i, double s, int j, double t, int k);

Add different rows of a matrix

a(i,.) += s * a(j,.) + t * a(k,.)

  void add_row(int i, double s, int j, double t, int k);

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void add_col(int i, double s, int j);

Add different columns of a matrix

a(.,i) += s * a(.,j)

  void add_col(int i, double s, int j);

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void add_col(int i, double s, int j, double t, int k);

Add different columns of a matrix

a(.,i) += s * a(.,j) + t * a(.,k)

  void add_col(int i, double s, int j, double t, int k);

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void swap_row(int i, int j);

Exchange contents of rows i and j

  void swap_row(int i, int j);

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void swap_col(int i, int j);

Exchange contents of columns i and j

  void swap_col(int i, int j);

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void mmult(FMatrix& dst, const FMatrix& src) const;

Matrix-matrix-multiplication

dst = this * src

  void mmult(FMatrix& dst, const FMatrix& src) const;

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void vmult(dVector& dst, const dVector& src,const int adding ) const;

Application of a matrix to a vector.

flag adding

determines if the result is copied to dst or added.

  void vmult(dVector& dst, const dVector& src,const int adding = 0) const;

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void gsmult(dVector& dst, const dVector& src,const iVector& gl) const;

  void gsmult(dVector& dst, const dVector& src,const iVector& gl) const;

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void Tvmult(dVector& dst,const dVector& src,const int adding ) const;

Application of the transpose matrix to a vector.

flag adding

determines if the result is copied to dst or added.

  void Tvmult(dVector& dst,const dVector& src,const int adding=0) const;

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double residual(dVector& dst, const dVector& src, const dVector& right) const;

Calculation of the residual
dst = right - this * src
and return of its norm.

  double residual(dVector& dst, const dVector& src, const dVector& right) const;

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void forward(dVector& dst, const dVector& src) const;

Inversion of lower triangle

  void forward(dVector& dst, const dVector& src) const;

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void backward(dVector& dst, const dVector& src) const;

Inversion of upper triangle

  void backward(dVector& dst, const dVector& src) const;

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void gauss_jordan();

Replace this by its inverse matrix calculated with Gauß-Jordan algorithm.

  void gauss_jordan();

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void householder(dVector& y);

QR - factorization of a matrix. The orthogonal transformation Q is applied to the vector y and the matrix. After execution of householder, the upper triangle contains the resulting matrix R, the lower the incomplete factorization matrices.

  void householder(dVector& y);

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double least_squares(dVector& dst, dVector& src);

Least - Squares - Approximation by QR-factorization.

  double least_squares(dVector& dst, dVector& src);

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void print(FILE* fp, const char* format ) const;

Output of the matrix in user-defined format.

  void print(FILE* fp, const char* format = 0) const;

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