Implementation

Pencil: Class of Pencil, with generic matrices.
template <class MATR> Pencil <MATR> ::~Pencil(void): Destructor.
template <class MATR> ostream& operator<< (ostream& os, const Pencil<MATR> &P): Output of a pencil.
template <class MATR> void Pencil <MATR> ::RightMult(const MATR &M): Right multiplication of all the matrices in the pencil, by a matrix.
template <class MATR> void Pencil <MATR> ::LeftMult(const MATR &M): Left multiplication of all the matrices in the pencil, by a matrix.
template <class MATR> void Pencil <MATR> ::swapCol(unsigned int u, unsigned int v): Permutation of two columns in the matrices of the pencil.
template <class MATR> void Pencil <MATR> ::swapRow(unsigned int u, unsigned int v): Permutation of two row in the matrices of the pencil.
: Permutation of the columns in the matrices of the pencil,
template <class MATR> void Pencil <MATR> ::permCol(unsigned int *pivot): according to a pivot array.
: Permutation of the rows in the matrices of the pencil,
template <class MATR> void Pencil <MATR> ::permRow(unsigned int *pivot): according to a pivot array.
template <class MATR> void Pencil <MATR> ::cutFirstRow(int u): remove the first i rows of the matrices in the pencil.
template <class MATR> void Pencil <MATR> ::cutFirstCol(int u): remove the first i columns of the matrices in the pencil.
template <class MATR> void Pencil <MATR> ::cutLastRow(int u): remove the last i rows of the matrices in the pencil.
template <class MATR> void Pencil <MATR> ::cutLastCol(int u): remove the last i columns of the matrices in the pencil.
template <class MATR> void Pencil <MATR> ::Transpose(): transpose of the matrices in the pencil.
template <class MATR> MATR& Pencil <MATR> ::operator(int i): Return the ith matrix. Indices start from 0.
::dcmp_QR: QR decomposittion of the pencil
::dcmp_QR: QR decomposittion of the pencil
template <class MATR> void Pencil <MATR> ::ReduceBy(const MATR & K): Reduce the matrices with respect to a upper-triangular matrix.
template <class MATR> void Pencil <MATR> ::Compress(): Compresses the pencil.

alphabetic index hierarchy of classes

Partially supported by FRISCO LTR 21.024

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