Vector and Matrix

Classes
class	BMatrix< T_ >
	To handle band matrices. More...
class	DMatrix< T_ >
	To handle dense matrices. More...
class	DSMatrix< T_ >
	To handle symmetric dense matrices. More...
class	LocalMatrix< T_, NR_, NC_ >
	Handles small size matrices like element matrices. More...
class	LocalVect< T_, N_ >
	Handles small size vectors like element vectors. More...
class	SkMatrix< T_ >
	To handle square matrices in skyline storage format. More...
class	SkSMatrix< T_ >
	To handle symmetric matrices in skyline storage format. More...
class	SpMatrix< T_ >
	To handle matrices in sparse storage format. More...
class	TrMatrix< T_ >
	To handle tridiagonal matrices. More...
class	Vect< T_ >
	To handle general purpose vectors. More...
Functions
template<class T_ >
BMatrix< T_ >	operator* (T_ a, const BMatrix< T_ > &A)
	Operator * (Premultiplication of matrix by constant)
template<class T_ >
ostream &	operator<< (ostream &s, const BMatrix< T_ > &a)
	Output matrix in output stream.
template<class T_ >
ostream &	operator<< (ostream &s, const DMatrix< T_ > &a)
template<class T_ >
ostream &	operator<< (ostream &s, const DSMatrix< T_ > &a)
	Output matrix in output stream.
template<class T_ , size_t NR_, size_t NC_>
LocalMatrix< T_, NR_, NC_ >	operator* (T_ a, const LocalMatrix< T_, NR_, NC_ > &x)
	Operator * (Multiply matrix x by scalar a)
template<class T_ , size_t NR_, size_t NC_>
LocalMatrix< T_, NR_, NC_ >	operator/ (T_ a, const LocalMatrix< T_, NR_, NC_ > &x)
	Operator / (Divide matrix x by scalar a)
template<class T_ , size_t NR_, size_t NC_>
LocalMatrix< T_, NR_, NC_ >	operator+ (const LocalMatrix< T_, NR_, NC_ > &x, const LocalMatrix< T_, NR_, NC_ > &y)
	Operator + (Add matrix x to y)
template<class T_ , size_t NR_, size_t NC_>
LocalMatrix< T_, NR_, NC_ >	operator- (const LocalMatrix< T_, NR_, NC_ > &x, const LocalMatrix< T_, NR_, NC_ > &y)
	Operator - (Subtract matrix y from x)
template<class T_ , size_t NR_, size_t NC_>
ostream &	operator<< (ostream &s, const LocalMatrix< T_, NR_, NC_ > &a)
template<class T_ , size_t N_>
LocalVect< T_, N_ >	operator+ (const LocalVect< T_, N_ > &x, const LocalVect< T_, N_ > &y)
	Operator + (Add two vectors)
template<class T_ , size_t N_>
LocalVect< T_, N_ >	operator- (const LocalVect< T_, N_ > &x, const LocalVect< T_, N_ > &y)
	Operator - (Subtract two vectors)
template<class T_ , size_t N_>
LocalVect< T_, N_ >	operator* (T_ a, const LocalVect< T_, N_ > &x)
	Operator * (Premultiplication of vector by constant)
template<class T_ , size_t N_>
LocalVect< T_, N_ >	operator/ (T_ a, const LocalVect< T_, N_ > &x)
	Operator / (Division of vector by constant)
template<class T_ , size_t N_>
double	Dot (const LocalVect< T_, N_ > &a, const LocalVect< T_, N_ > &b)
	Calculate dot product of 2 vectors (instances of class LocalVect)
template<class T_ , size_t N_>
void	Scale (T_ a, const LocalVect< T_, N_ > &x, LocalVect< T_, N_ > &y)
	Multiply vector x by constant a and store result in y.
template<class T_ , size_t N_>
void	Scale (T_ a, LocalVect< T_, N_ > &x)
	Multiply vector x by constant a and store result in x.
template<class T_ , size_t N_>
void	Axpy (T_ a, const LocalVect< T_, N_ > &x, LocalVect< T_, N_ > &y)
	Add a*x to vector y.
template<class T_ , size_t N_>
void	Copy (const LocalVect< T_, N_ > &x, LocalVect< T_, N_ > &y)
	Copy vector x into vector y.
template<class T_ , size_t N_>
ostream &	operator<< (ostream &s, const LocalVect< T_, N_ > &v)
	Output vector in output stream.
template<class T_ >
ostream &	operator<< (ostream &s, const SkMatrix< T_ > &a)
template<class T_ >
ostream &	operator<< (ostream &s, const SkSMatrix< T_ > &a)
template<class T_ >
TrMatrix< T_ >	operator* (T_ a, const TrMatrix< T_ > &A)
	Operator * (Premultiplication of matrix by constant)
template<class T_ >
ostream &	operator<< (ostream &s, const TrMatrix< T_ > &a)
	Output matrix in output stream.

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Detailed Description

A module that groups vector and matrix related classes

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Function Documentation

BMatrix< T_ > operator*	(	T_	a,
		const BMatrix< T_ > &	A
	)

Operator * (Premultiplication of matrix by constant)

Returns:

a*A

ostream & operator<<	(	ostream &	s,
		const DMatrix< T_ > &	a
	)

Output matrix in output stream

LocalMatrix< T_, NR_, NC_ > operator*	(	T_	a,
		const LocalMatrix< T_, NR_, NC_ > &	x
	)

Operator * (Multiply matrix x by scalar a)

Returns:

a*x

LocalMatrix< T_, NR_, NC_ > operator/	(	T_	a,
		const LocalMatrix< T_, NR_, NC_ > &	x
	)

Operator / (Divide matrix x by scalar a)

Returns:

x/a

LocalMatrix< T_, NR_, NC_ > operator+	(	const LocalMatrix< T_, NR_, NC_ > &	x,
		const LocalMatrix< T_, NR_, NC_ > &	y
	)

Operator + (Add matrix x to y)

Returns:

x+y

LocalMatrix< T_, NR_, NC_ > operator-	(	const LocalMatrix< T_, NR_, NC_ > &	x,
		const LocalMatrix< T_, NR_, NC_ > &	y
	)

Operator - (Subtract matrix y from x)

Returns:

x-y

ostream & operator<<	(	ostream &	s,
		const LocalMatrix< T_, NR_, NC_ > &	a
	)

Output vector in output stream

LocalVect< T_, N_ > operator+	(	const LocalVect< T_, N_ > &	x,
		const LocalVect< T_, N_ > &	y
	)

Operator + (Add two vectors)

Returns:

x+y

LocalVect< T_, N_ > operator-	(	const LocalVect< T_, N_ > &	x,
		const LocalVect< T_, N_ > &	y
	)

Operator - (Subtract two vectors)

Returns:

x-y

LocalVect< T_, N_ > operator*	(	T_	a,
		const LocalVect< T_, N_ > &	x
	)

Operator * (Premultiplication of vector by constant)

Returns:

a*x

LocalVect< T_, N_ > operator/	(	T_	a,
		const LocalVect< T_, N_ > &	x
	)

Operator / (Division of vector by constant)

Returns:

x/a

double Dot	(	const LocalVect< T_, N_ > &	a,
		const LocalVect< T_, N_ > &	b
	)

Calculate dot product of 2 vectors (instances of class LocalVect)

Returns:

Dot product

ostream & operator<<	(	ostream &	s,
		const SkMatrix< T_ > &	a
	)

Output matrix in output stream

ostream & operator<<	(	ostream &	s,
		const SkSMatrix< T_ > &	a
	)

Output matrix in output stream

TrMatrix< T_ > operator*	(	T_	a,
		const TrMatrix< T_ > &	A
	)

Operator * (Premultiplication of matrix by constant)

Returns:

a*A