TBCI::Matrix< T > Class Template Reference

#include <matrix.h>

Inheritance diagram for TBCI::Matrix< T >:

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Collaboration diagram for TBCI::Matrix< T >:

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List of all members.

Public Types
typedef T	value_type
typedef T	element_type
typedef T	aligned_value_type
Public Member Functions
	Matrix (const unsigned d=0)
	Matrix (const unsigned r, const unsigned c)
	Matrix (const T &v, const unsigned r, const unsigned c)
	Matrix (const Vector< T > &v, const enum rowcolvec r=colvec)
	Matrix (const Matrix< T > &m)
	copy, does a real copy, as TM(M) is invoked (not TM(TM))
	Matrix (const TMatrix< T > &tm)
	alias
	Matrix (const TSMatrix< T > &ts)
	~Matrix ()
template<typename U>
	Matrix (const Matrix< U > &m)
template<typename U>
	Matrix (const TMatrix< U > &tm)
tbci_traits< T >::const_refval_type	operator() (const unsigned int, const unsigned int) const
	ro element access
T &	operator() (const unsigned int, const unsigned int)
	rw element access
TVector< T >	operator() (const unsigned int) const
	get row
Matrix< T > &	operator= (const Matrix< T > &m)
	Assignment, non-resizing.
Matrix< T > &	operator= (const TMatrix< T > &tm)
Matrix< T > &	operator= (TSMatrix< T > ts)
Matrix< T > &	operator= (const T &v)
Matrix< T > &	resize (const unsigned r, const unsigned c)
Matrix< T > &	resize (const unsigned d)
Matrix< T > &	resize (const T &v, const unsigned r, const unsigned c)
Matrix< T > &	resize (const Matrix< T > &m)
Matrix< T > &	fill (const T &v=(T) 0)
	Fill matrix.
Matrix< T > &	fill (const Vector< T > &v)
	Fill complete matrix by vector elements (m00, m01, ... m0C, m10, ...).
Matrix< T > &	setunit (const T &f=(T) 1)
	Set to unit matrix (optionally scaled).
Matrix< T > &	clear ()
	Clear matrix (fill with 0).
Matrix< T > &	operator+= (const Matrix< T > &a)
Matrix< T > &	operator-= (const Matrix< T > &a)
Matrix< T > &	operator+= (TMatrix< T > a)
	arithmetics ...
Matrix< T > &	operator-= (TMatrix< T > a)
Matrix< T > &	operator+= (TSMatrix< T > a)
Matrix< T > &	operator-= (TSMatrix< T > a)
Matrix< T > &	operator+= (const T &a)
Matrix< T > &	operator-= (const T &a)
Matrix< T > &	operator*= (const T &a)
Matrix< T > &	operator/= (const T &a)
TMatrix< T >	operator- () const
TMatrix< T >	operator+ (const Matrix< T > &) const
TMatrix< T >	operator- (const Matrix< T > &) const
TMatrix< T >	operator* (const Matrix< T > &) const
TMatrix< T > &	operator+ (TMatrix< T > &) const
TMatrix< T > &	operator- (TMatrix< T > &) const
TMatrix< T >	operator* (TMatrix< T > &) const
TMatrix< T >	operator+ (TSMatrix< T > &) const
TMatrix< T >	operator- (TSMatrix< T > &) const
TMatrix< T >	operator* (TSMatrix< T > &) const
TMatrix< T >	operator+ (const T &) const
TMatrix< T >	operator- (const T &) const
TSMatrix< T >	operator* (const T &) const
TSMatrix< T >	operator/ (const T &) const
TVector< T >	operator* (const Vector< T > &) const
TVector< T >	operator* (TVector< T >) const
	Now for the Matrix-Vector multiplications.
TVector< T >	operator* (const TSVector< T > &tsv) const
TVector< T >	transMult (const Vector< T > &) const
bool	operator== (const Matrix< T > &m) const
bool	operator!= (const Matrix< T > &m) const
bool	operator== (TMatrix< T > tm) const
bool	operator!= (TMatrix< T > tm) const
bool	operator== (TSMatrix< T >) const
bool	operator!= (TSMatrix< T > ts) const
Matrix< T > &	mult_rows (const Vector< T > &)
	Elementwise ops.
Matrix< T > &	div_rows (const Vector< T > &)
Matrix< T > &	mult_row (const T &, const unsigned)
Matrix< T > &	div_row (const T &, const unsigned)
double	fabssqr () const
	Sum over all squared elements.
double	fabs () const
Static Public Member Functions
static const char *	mat_info ()
Friends
class	TSMatrix< T >
BVector< T > &	bvfillm (BVector< T > &, const Matrix< T > &m)
std::ostream &	operator (std::ostream &, const Matrix< T > &)
std::istream &	operator>> (std::istream &, Matrix< T > &)
char	gaussj (Matrix< T > &, Matrix< T > &)

---

Detailed Description

template<typename T>
class TBCI::Matrix< T >

Real, user referable, Matrix Does implement high performance arithmetics, together with TMatrix and TSMatrix. All objects that the user creates should be of class Matrix; the temporary objects are emitted by the compiler as suitable.

The implementation is NOT optimized for sparse matrices; please have a look at BdMatrix and CSCMatrix if you want to do computations with sparse matrices.

Definition at line 1561 of file matrix.h.

---

Member Typedef Documentation

template<typename T>

typedef T TBCI::Matrix< T >::value_type

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1568 of file matrix.h.

template<typename T>

typedef T TBCI::Matrix< T >::element_type

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1569 of file matrix.h.

template<typename T>

typedef T TBCI::Matrix< T >::aligned_value_type

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1570 of file matrix.h.

---

Constructor & Destructor Documentation

template<typename T>

TBCI::Matrix< T >::Matrix

(

const unsigned

d = 0

)

[inline, explicit]

Definition at line 1574 of file matrix.h.

template<typename T>

TBCI::Matrix< T >::Matrix	(	const unsigned	r,
		const unsigned	c
	)			[inline]

Definition at line 1577 of file matrix.h.

template<typename T>

TBCI::Matrix< T >::Matrix	(	const T &	v,
		const unsigned	r,
		const unsigned	c
	)			[inline]

Definition at line 1580 of file matrix.h.

template<typename T>

TBCI::Matrix< T >::Matrix	(	const Vector< T > &	v,
		const enum rowcolvec	r = colvec
	)			[inline]

Definition at line 1583 of file matrix.h.

template<typename T>

TBCI::Matrix< T >::Matrix

(

const Matrix< T > &

m

)

[inline]

copy, does a real copy, as TM(M) is invoked (not TM(TM))

Definition at line 1588 of file matrix.h.

template<typename T>

TBCI::Matrix< T >::Matrix

(

const TMatrix< T > &

tm

)

[inline]

alias

Definition at line 1592 of file matrix.h.

template<typename T>

TBCI::Matrix< T >::Matrix

(

const TSMatrix< T > &

ts

)

[inline]

Definition at line 1595 of file matrix.h.

template<typename T>

TBCI::Matrix< T >::~Matrix

(

)

[inline]

Definition at line 1599 of file matrix.h.

template<typename T>

template<typename U>

TBCI::Matrix< T >::Matrix

(

const Matrix< U > &

m

)

[inline, explicit]

Definition at line 1606 of file matrix.h.

template<typename T>

template<typename U>

TBCI::Matrix< T >::Matrix

(

const TMatrix< U > &

tm

)

[inline, explicit]

Definition at line 1610 of file matrix.h.

---

Member Function Documentation

template<typename T>

static const char* TBCI::Matrix< T >::mat_info

(

)

[inline, static]

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1602 of file matrix.h.

template<typename T>

tbci_traits< T >::const_refval_type TBCI::Matrix< T >::operator()	(	const unsigned int	i,
		const unsigned int	j
	)			const [inline]

ro element access

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1762 of file matrix.h.

References BCHK, TBCI::TMatrix< T >::col, TBCI::TMatrix< T >::mat, and TBCI::TMatrix< T >::row.

template<typename T>

T & TBCI::Matrix< T >::operator()	(	const unsigned int	i,
		const unsigned int	j
	)			[inline]

rw element access

Definition at line 1770 of file matrix.h.

References BCHK, TBCI::TMatrix< T >::col, TBCI::TMatrix< T >::mat, and TBCI::TMatrix< T >::row.

template<typename T>

TVector< T > TBCI::Matrix< T >::operator()

(

const unsigned int

i

)

const [inline]

get row

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1778 of file matrix.h.

References BCHK, TBCI::TMatrix< T >::col, TBCI::TMatrix< T >::row, T, TBCICOPY, and TBCI::BVector< T >::vec.

template<typename T>

Matrix<T>& TBCI::Matrix< T >::operator=

(

const Matrix< T > &

m

)

[inline]

Assignment, non-resizing.

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1625 of file matrix.h.

template<typename T>

Matrix<T>& TBCI::Matrix< T >::operator=

(

const TMatrix< T > &

tm

)

[inline]

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1627 of file matrix.h.

template<typename T>

Matrix<T>& TBCI::Matrix< T >::operator=

(

TSMatrix< T >

ts

)

[inline]

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1629 of file matrix.h.

template<typename T>

Matrix<T>& TBCI::Matrix< T >::operator=

(

const T &

v

)

[inline]

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1631 of file matrix.h.

template<typename T>

Matrix<T>& TBCI::Matrix< T >::resize	(	const unsigned	r,
		const unsigned	c
	)			[inline]

Definition at line 1634 of file matrix.h.

template<typename T>

Matrix<T>& TBCI::Matrix< T >::resize

(

const unsigned

d

)

[inline]

Definition at line 1636 of file matrix.h.

template<typename T>

Matrix<T>& TBCI::Matrix< T >::resize	(	const T &	v,
		const unsigned	r,
		const unsigned	c
	)			[inline]

Definition at line 1638 of file matrix.h.

template<typename T>

Matrix<T>& TBCI::Matrix< T >::resize

(

const Matrix< T > &

m

)

[inline]

Definition at line 1640 of file matrix.h.

template<typename T>

Matrix<T>& TBCI::Matrix< T >::fill

(

const T &

val = (T) 0

)

[inline]

Fill matrix.

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1642 of file matrix.h.

template<typename T>

Matrix<T>& TBCI::Matrix< T >::fill

(

const Vector< T > &

v

)

[inline]

Fill complete matrix by vector elements (m00, m01, ... m0C, m10, ...).

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1644 of file matrix.h.

template<typename T>

Matrix<T>& TBCI::Matrix< T >::setunit

(

const T &

fac = (T) 1

)

[inline]

Set to unit matrix (optionally scaled).

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1646 of file matrix.h.

template<typename T>

Matrix<T>& TBCI::Matrix< T >::clear

(

)

[inline]

Clear matrix (fill with 0).

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1648 of file matrix.h.

template<typename T>

Matrix<T>& TBCI::Matrix< T >::operator+=

(

const Matrix< T > &

a

)

[inline]

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1658 of file matrix.h.

template<typename T>

Matrix<T>& TBCI::Matrix< T >::operator-=

(

const Matrix< T > &

a

)

[inline]

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1660 of file matrix.h.

template<typename T>

Matrix<T>& TBCI::Matrix< T >::operator+=

(

TMatrix< T >

a

)

[inline]

arithmetics ...

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1662 of file matrix.h.

template<typename T>

Matrix<T>& TBCI::Matrix< T >::operator-=

(

TMatrix< T >

a

)

[inline]

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1664 of file matrix.h.

template<typename T>

Matrix<T>& TBCI::Matrix< T >::operator+=

(

TSMatrix< T >

a

)

[inline]

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1666 of file matrix.h.

template<typename T>

Matrix<T>& TBCI::Matrix< T >::operator-=

(

TSMatrix< T >

a

)

[inline]

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1668 of file matrix.h.

template<typename T>

Matrix<T>& TBCI::Matrix< T >::operator+=

(

const T &

a

)

[inline]

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1670 of file matrix.h.

template<typename T>

Matrix<T>& TBCI::Matrix< T >::operator-=

(

const T &

a

)

[inline]

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1672 of file matrix.h.

template<typename T>

Matrix< T > & TBCI::Matrix< T >::operator*=

(

const T &

a

)

[inline]

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1837 of file matrix.h.

References TBCI::TMatrix< T >::dim, STD_SMP_TEMPLATE2C, and TBCI::TMatrix< T >::vec.

template<typename T>

Matrix< T > & TBCI::Matrix< T >::operator/=

(

const T &

a

)

[inline]

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1843 of file matrix.h.

References TBCI::TMatrix< T >::dim, STD_SMP_TEMPLATE2C, and TBCI::TMatrix< T >::vec.

template<typename T>

TMatrix<T> TBCI::Matrix< T >::operator-

(

)

const [inline]

Definition at line 1681 of file matrix.h.

template<typename T>

TMatrix< T > TBCI::Matrix< T >::operator+

(

const Matrix< T > &

a

)

const [inline]

Definition at line 1878 of file matrix.h.

References BCHK, TBCI::TMatrix< T >::col, TBCI::TMatrix< T >::dim, TBCI::TMatrix< T >::row, TBCI::TMatrix< T >::size(), STD_SMP_TEMPLATE3VV, and TBCI::TMatrix< T >::vec.

template<typename T>

TMatrix< T > TBCI::Matrix< T >::operator-

(

const Matrix< T > &

a

)

const [inline]

Definition at line 1886 of file matrix.h.

References BCHK, TBCI::TMatrix< T >::col, TBCI::TMatrix< T >::dim, TBCI::TMatrix< T >::row, TBCI::TMatrix< T >::size(), STD_SMP_TEMPLATE3VV, and TBCI::TMatrix< T >::vec.

template<typename T>

TMatrix< T > TBCI::Matrix< T >::operator*

(

const Matrix< T > &

b

)

const [inline]

Definition at line 1953 of file matrix.h.

References BCHK, TBCI::TMatrix< T >::clear(), TBCI::TMatrix< T >::col, LIKELY, PREFETCH_W, TBCI::TMatrix< T >::row, TBCI::slice_offset(), SMP_MATSLICE, TBCI::thread_start_off(), TBCI::thread_wait(), and TBCI::threads_avail().

template<typename T>

TMatrix< T > & TBCI::Matrix< T >::operator+

(

TMatrix< T > &

a

)

const [inline]

Definition at line 1895 of file matrix.h.

References BCHK, TBCI::TMatrix< T >::dim, TBCI::TMatrix< T >::size(), STD_SMP_TEMPLATE2V, and TBCI::TMatrix< T >::vec.

template<typename T>

TMatrix< T > & TBCI::Matrix< T >::operator-

(

TMatrix< T > &

a

)

const [inline]

Definition at line 1902 of file matrix.h.

References BCHK, TBCI::TMatrix< T >::dim, TBCI::TMatrix< T >::size(), STD_SMP_TEMPLATE2V, and TBCI::TMatrix< T >::vec.

template<typename T>

TMatrix< T > TBCI::Matrix< T >::operator*

(

TMatrix< T > &

a

)

const [inline]

Definition at line 2017 of file matrix.h.

template<typename T>

TMatrix< T > TBCI::Matrix< T >::operator+

(

TSMatrix< T > &

ts

)

const [inline]

Definition at line 1910 of file matrix.h.

References BCHK, TBCI::TSMatrix< T >::detach(), TBCI::TSMatrix< T >::dim, TBCI::TMatrix< T >::dim, TBCI::TSMatrix< T >::real_destroy(), TBCI::TMatrix< T >::size(), STD_SMP_TEMPLATE4V, T, and TBCI::TSMatrix< T >::vec.

template<typename T>

TMatrix< T > TBCI::Matrix< T >::operator-

(

TSMatrix< T > &

ts

)

const [inline]

Definition at line 1918 of file matrix.h.

References BCHK, TBCI::TSMatrix< T >::detach(), TBCI::TSMatrix< T >::dim, TBCI::TMatrix< T >::dim, TBCI::TSMatrix< T >::real_destroy(), TBCI::TMatrix< T >::size(), STD_SMP_TEMPLATE4V, T, and TBCI::TSMatrix< T >::vec.

template<typename T>

TMatrix< T > TBCI::Matrix< T >::operator*

(

TSMatrix< T > &

a

)

const [inline]

Definition at line 1999 of file matrix.h.

References ALIGN, BCHK, TBCI::TMatrix< T >::col, TBCI::TSMatrix< T >::col, TBCI::TSMatrix< T >::mat, TBCI::TMatrix< T >::mat, MIN_ALIGN2, TBCI::TSMatrix< T >::real_destroy(), TBCI::TSMatrix< T >::row, TBCI::TMatrix< T >::row, and T.

template<typename T>

TMatrix< T > TBCI::Matrix< T >::operator+

(

const T &

a

)

const [inline]

Definition at line 1852 of file matrix.h.

References TBCI::TMatrix< T >::col, TBCI::TMatrix< T >::dim, TBCI::TMatrix< T >::row, STD_SMP_TEMPLATE3VC, and TBCI::TMatrix< T >::vec.

template<typename T>

TMatrix< T > TBCI::Matrix< T >::operator-

(

const T &

a

)

const [inline]

Definition at line 1859 of file matrix.h.

References TBCI::TMatrix< T >::col, TBCI::TMatrix< T >::dim, TBCI::TMatrix< T >::row, STD_SMP_TEMPLATE3VC, and TBCI::TMatrix< T >::vec.

template<typename T>

TSMatrix< T > TBCI::Matrix< T >::operator*

(

const T &

a

)

const [inline]

Definition at line 1867 of file matrix.h.

template<typename T>

TSMatrix< T > TBCI::Matrix< T >::operator/

(

const T &

a

)

const [inline]

Definition at line 1871 of file matrix.h.

References BCHK, and T.

template<typename T>

TVector< T > TBCI::Matrix< T >::operator*

(

const Vector< T > &

v

)

const [inline]

Definition at line 2131 of file matrix.h.

References BCHK, TBCI::TMatrix< T >::col, LIKELY, PREFETCH_W, TBCI::TMatrix< T >::row, TBCI::TVector< T >::size(), TBCI::slice_offset(), SMP_MATSLICE, TBCI::thread_start_off(), TBCI::thread_wait(), TBCI::threads_avail(), and TBCI::BVector< T >::vec.

template<typename T>

TVector< T > TBCI::Matrix< T >::operator*

(

TVector< T >

c

)

const [inline]

Now for the Matrix-Vector multiplications.

These are time critical, because we use them in iterative solvers. Let's spend some braincells to optimize these, KG 8/98 -- 11/98

Definition at line 2104 of file matrix.h.

template<typename T>

TVector< T > TBCI::Matrix< T >::operator*

(

const TSVector< T > &

tsv

)

const [inline]

Definition at line 2211 of file matrix.h.

References BCHK, TBCI::TMatrix< T >::col, TBCI::TMatrix< T >::do_mat_tsv_mult, TBCI::TMatrix< T >::row, and TBCI::TSVector< T >::size().

template<typename T>

TVector< T > TBCI::Matrix< T >::transMult

(

const Vector< T > &

v

)

const [inline]

Definition at line 2161 of file matrix.h.

References BCHK, TBCI::TMatrix< T >::col, LIKELY, TBCI::TMatrix< T >::row, TBCI::TVector< T >::size(), SMP_MATSLICE, TBCI::thread_start_off(), TBCI::thread_wait(), and TBCI::threads_avail().

template<typename T>

bool TBCI::Matrix< T >::operator==

(

const Matrix< T > &

m

)

const [inline]

Definition at line 2047 of file matrix.h.

References TBCI::TMatrix< T >::col, LIKELY, TBCI::TMatrix< T >::row, T, TBCICOMP, and TBCI::TMatrix< T >::vec.

template<typename T>

bool TBCI::Matrix< T >::operator!=

(

const Matrix< T > &

m

)

const [inline]

Definition at line 1709 of file matrix.h.

template<typename T>

bool TBCI::Matrix< T >::operator==

(

TMatrix< T >

tm

)

const [inline]

Definition at line 1712 of file matrix.h.

template<typename T>

bool TBCI::Matrix< T >::operator!=

(

TMatrix< T >

tm

)

const [inline]

Definition at line 1714 of file matrix.h.

template<typename T>

bool TBCI::Matrix< T >::operator==

(

TSMatrix< T >

ts

)

const [inline]

Definition at line 2060 of file matrix.h.

References TBCI::TSMatrix< T >::col, TBCI::TMatrix< T >::dim, TBCI::TMatrix< T >::endvec, LIKELY, TBCI::TSMatrix< T >::real_destroy(), TBCI::TSMatrix< T >::row, TBCI::TMatrix< T >::row, T, TBCICOMP, UNLIKELY, TBCI::TSMatrix< T >::vec, and TBCI::TMatrix< T >::vec.

template<typename T>

bool TBCI::Matrix< T >::operator!=

(

TSMatrix< T >

ts

)

const [inline]

Definition at line 1718 of file matrix.h.

template<typename T>

Matrix< T > & TBCI::Matrix< T >::mult_rows

(

const Vector< T > &

v

)

[inline]

Elementwise ops.

Definition at line 2234 of file matrix.h.

References BCHK, TBCI::TMatrix< T >::col, fac(), TBCI::TMatrix< T >::row, TBCI::TMatrix< T >::rows(), TBCI::TVector< T >::size(), and T.

template<typename T>

Matrix< T > & TBCI::Matrix< T >::div_rows

(

const Vector< T > &

v

)

[inline]

Definition at line 2247 of file matrix.h.

References BCHK, TBCI::TMatrix< T >::col, fac(), TBCI::TMatrix< T >::row, TBCI::TMatrix< T >::rows(), TBCI::TVector< T >::size(), and T.

template<typename T>

Matrix< T > & TBCI::Matrix< T >::mult_row	(	const T &	f,
		const unsigned	r
	)			[inline]

Definition at line 2260 of file matrix.h.

References BCHK, TBCI::TMatrix< T >::col, and TBCI::TMatrix< T >::row.

Referenced by TBCI::Matrix< T >::div_row().

template<typename T>

Matrix< T > & TBCI::Matrix< T >::div_row	(	const T &	d,
		const unsigned	r
	)			[inline]

Definition at line 2269 of file matrix.h.

References BCHK, TBCI::TMatrix< T >::col, TBCI::Matrix< T >::mult_row(), TBCI::TMatrix< T >::row, and T.

template<typename T>

double TBCI::Matrix< T >::fabssqr

(

)

const [inline]

Sum over all squared elements.

Reimplemented from TBCI::TMatrix< T >.

Definition at line 2085 of file matrix.h.

References TBCI::TMatrix< T >::dim, TBCI::do_vec_fabssqr(), LONG_DOUBLE, and TBCI::TMatrix< T >::vec.

Referenced by TBCI::fabssqr(), and TBCI::TMatrix< T >::fabssqr().

template<typename T>

double TBCI::Matrix< T >::fabs

(

)

const [inline]

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1739 of file matrix.h.

References TBCI::TSMatrix< T >::fabssqr(), GLBL__, MATH__, and sqrt().

Referenced by TBCI::GMRES().

---

Friends And Related Function Documentation

template<typename T>

friend class TSMatrix< T > [friend]

Reimplemented from TBCI::TMatrix< T >.

Definition at line 1566 of file matrix.h.

template<typename T>

BVector<T>& bvfillm	(	BVector< T > &	bv,
		const Matrix< T > &	m
	)			[friend]

Definition at line 2221 of file matrix.h.

template<typename T>

std:: ostream& operator	(	std::ostream &	,
		const Matrix< T > &
	)			[friend]

template<typename T>

std:: istream& operator>>	(	std::istream &	in,
		Matrix< T > &	m
	)			[friend]

Definition at line 1805 of file matrix.h.

template<typename T>

char gaussj	(	Matrix< T > &	a,
		Matrix< T > &	b
	)			[friend]

Parameters:

	a	square n*n Matrix
	b	n*m Matrix, containing the Vectors to solve for

gauss-jordan linear algebraic equation solver with pivoting; Num.Rec. p.39

Returns:

a is inverted Matrix, b contains solution Vectors

Note:

The Matrices passed will be changed!

Definition at line 46 of file gauss_jordan.h.

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The documentation for this class was generated from the following file:

• matrix.h