NEWMAT Namespace Reference

Classes
class	LogAndSign
class	MatrixType
class	MatrixBandWidth
class	ArrayLengthSpecifier
class	BaseMatrix
class	GeneralMatrix
class	Matrix
class	nricMatrix
class	SymmetricMatrix
class	UpperTriangularMatrix
class	LowerTriangularMatrix
class	DiagonalMatrix
class	RowVector
class	ColumnVector
class	CroutMatrix
class	BandMatrix
class	UpperBandMatrix
class	LowerBandMatrix
class	SymmetricBandMatrix
class	BandLUMatrix
class	IdentityMatrix
class	GenericMatrix
class	MultipliedMatrix
class	AddedMatrix
class	SPMatrix
class	KPMatrix
class	ConcatenatedMatrix
class	StackedMatrix
class	SolvedMatrix
class	SubtractedMatrix
class	ShiftedMatrix
class	NegShiftedMatrix
class	ScaledMatrix
class	NegatedMatrix
class	TransposedMatrix
class	ReversedMatrix
class	InvertedMatrix
class	RowedMatrix
class	ColedMatrix
class	DiagedMatrix
class	MatedMatrix
class	ReturnMatrixX
class	GetSubMatrix
class	LinearEquationSolver
class	MatrixInput
class	SimpleIntArray
class	NPDException
class	ConvergenceException
class	SingularException
class	OverflowException
class	ProgramException
class	IndexException
class	VectorException
class	NotSquareException
class	SubMatrixDimensionException
class	IncompatibleDimensionsException
class	NotDefinedException
class	CannotBuildException
class	InternalException
class	SymmetricEigenAnalysis
class	FFT_Controller
class	MultiRadixCounter
class	FindMaximum2
class	R1_Col_I_D
class	NonLinearLeastSquares
class	LL_D_FI
class	MLE_D_FI
Functions
Real	square (Real x)
ReturnMatrix	Cholesky (const SymmetricMatrix &S)
ReturnMatrix	Cholesky (const SymmetricBandMatrix &S)
void	EigenValues (const SymmetricMatrix &A, DiagonalMatrix &D, Matrix &Z)
void	EigenValues (const SymmetricMatrix &X, DiagonalMatrix &D)
void	EigenValues (const SymmetricMatrix &X, DiagonalMatrix &D, SymmetricMatrix &A)
void	FFTI (const ColumnVector &U, const ColumnVector &V, ColumnVector &X, ColumnVector &Y)
void	RealFFT (const ColumnVector &U, ColumnVector &X, ColumnVector &Y)
void	RealFFTI (const ColumnVector &A, const ColumnVector &B, ColumnVector &U)
void	FFT (const ColumnVector &U, const ColumnVector &V, ColumnVector &X, ColumnVector &Y)
void	DCT_II (const ColumnVector &U, ColumnVector &V)
void	DCT_II_inverse (const ColumnVector &V, ColumnVector &U)
void	DST_II (const ColumnVector &U, ColumnVector &V)
void	DST_II_inverse (const ColumnVector &V, ColumnVector &U)
void	DCT_inverse (const ColumnVector &V, ColumnVector &U)
void	DCT (const ColumnVector &U, ColumnVector &V)
void	DST_inverse (const ColumnVector &V, ColumnVector &U)
void	DST (const ColumnVector &U, ColumnVector &V)
void	QRZT (Matrix &X, LowerTriangularMatrix &L)
void	QRZT (const Matrix &X, Matrix &Y, Matrix &M)
void	QRZ (Matrix &X, UpperTriangularMatrix &U)
void	QRZ (const Matrix &X, Matrix &Y, Matrix &M)
void	Jacobi (const SymmetricMatrix &X, DiagonalMatrix &D, SymmetricMatrix &A, Matrix &V, bool eivec)
void	Jacobi (const SymmetricMatrix &X, DiagonalMatrix &D)
void	Jacobi (const SymmetricMatrix &X, DiagonalMatrix &D, SymmetricMatrix &A)
void	Jacobi (const SymmetricMatrix &X, DiagonalMatrix &D, Matrix &V)
int	square (int x)
void	MatrixErrorNoSpace (void *)
bool	operator== (const GeneralMatrix &A, const GeneralMatrix &B)
bool	operator== (const BaseMatrix &A, const BaseMatrix &B)
bool	operator!= (const GeneralMatrix &A, const GeneralMatrix &B)
bool	operator!= (const BaseMatrix &A, const BaseMatrix &B)
bool	operator<= (const BaseMatrix &A, const BaseMatrix &)
bool	operator>= (const BaseMatrix &A, const BaseMatrix &)
bool	operator< (const BaseMatrix &A, const BaseMatrix &)
bool	operator> (const BaseMatrix &A, const BaseMatrix &)
bool	IsZero (const BaseMatrix &A)
LogAndSign	LogDeterminant (const BaseMatrix &B)
Real	Determinant (const BaseMatrix &B)
Real	SumSquare (const BaseMatrix &B)
Real	NormFrobenius (const BaseMatrix &B)
Real	Trace (const BaseMatrix &B)
Real	SumAbsoluteValue (const BaseMatrix &B)
Real	Sum (const BaseMatrix &B)
Real	MaximumAbsoluteValue (const BaseMatrix &B)
Real	MinimumAbsoluteValue (const BaseMatrix &B)
Real	Maximum (const BaseMatrix &B)
Real	Minimum (const BaseMatrix &B)
Real	Norm1 (const BaseMatrix &B)
Real	Norm1 (RowVector &RV)
Real	NormInfinity (const BaseMatrix &B)
Real	NormInfinity (ColumnVector &CV)
bool	IsZero (const GeneralMatrix &A)
ShiftedMatrix &	operator+ (Real f, const BaseMatrix &BM)
ScaledMatrix &	operator* (Real f, const BaseMatrix &BM)
bool	Rectangular (MatrixType a, MatrixType b, MatrixType c)
Real	DotProd (const MatrixRowCol &mrc1, const MatrixRowCol &mrc2)
bool	Compare (const MatrixType &source, MatrixType &destination)
SPMatrix &	SP (const BaseMatrix &bm1, const BaseMatrix &bm2)
KPMatrix &	KP (const BaseMatrix &bm1, const BaseMatrix &bm2)
NegShiftedMatrix &	operator- (Real f, const BaseMatrix &bm1)
Real	DotProduct (const Matrix &A, const Matrix &B)
ostream &	operator<< (ostream &s, const BaseMatrix &X)
ostream &	operator<< (ostream &s, const GeneralMatrix &X)
void	HHDecompose (Matrix &X, LowerTriangularMatrix &L)
void	HHDecompose (const Matrix &X, Matrix &Y, Matrix &M)
void	SVD (const Matrix &, DiagonalMatrix &, Matrix &, Matrix &, bool=true, bool=true)
void	SVD (const Matrix &, DiagonalMatrix &)
void	SVD (const Matrix &A, DiagonalMatrix &D, Matrix &U, bool withU=true)
void	SortSV (DiagonalMatrix &D, Matrix &U, bool ascending=false)
void	SortSV (DiagonalMatrix &D, Matrix &U, Matrix &V, bool ascending=false)
void	SortAscending (GeneralMatrix &)
void	SortDescending (GeneralMatrix &)
std::ostream &	operator<< (std::ostream &, const BaseMatrix &)
std::ostream &	operator<< (std::ostream &, const GeneralMatrix &)
void	ComplexScale (RectMatrixCol &U, RectMatrixCol &V, Real x, Real y)
void	Rotate (RectMatrixCol &U, RectMatrixCol &V, Real tau, Real s)

---

Function Documentation

ReturnMatrix NEWMAT::Cholesky

(

const SymmetricMatrix &

S

)

Definition at line 29 of file cholesky.cpp.

ReturnMatrix NEWMAT::Cholesky

(

const SymmetricBandMatrix &

S

)

Definition at line 54 of file cholesky.cpp.

bool NEWMAT::Compare	(	const MatrixType &	source,
		MatrixType &	destination
	)

Definition at line 681 of file newmat4.cpp.

void NEWMAT::ComplexScale	(	RectMatrixCol &	U,
		RectMatrixCol &	V,
		Real	x,
		Real	y
	)

Definition at line 131 of file newmatrm.cpp.

void NEWMAT::DCT	(	const ColumnVector &	U,
		ColumnVector &	V
	)

Definition at line 398 of file fft.cpp.

void NEWMAT::DCT_II	(	const ColumnVector &	U,
		ColumnVector &	V
	)

Definition at line 254 of file fft.cpp.

void NEWMAT::DCT_II_inverse	(	const ColumnVector &	V,
		ColumnVector &	U
	)

Definition at line 282 of file fft.cpp.

void NEWMAT::DCT_inverse	(	const ColumnVector &	V,
		ColumnVector &	U
	)

Definition at line 364 of file fft.cpp.

Real NEWMAT::Determinant

(

const BaseMatrix &

B

)

[inline]

Definition at line 1727 of file newmat.h.

Real NEWMAT::DotProd	(	const MatrixRowCol &	mrc1,
		const MatrixRowCol &	mrc2
	)

Definition at line 73 of file newmat2.cpp.

Real NEWMAT::DotProduct	(	const Matrix &	A,
		const Matrix &	B
	)

Definition at line 524 of file newmat8.cpp.

void NEWMAT::DST	(	const ColumnVector &	U,
		ColumnVector &	V
	)

Definition at line 435 of file fft.cpp.

void NEWMAT::DST_II	(	const ColumnVector &	U,
		ColumnVector &	V
	)

Definition at line 309 of file fft.cpp.

void NEWMAT::DST_II_inverse	(	const ColumnVector &	V,
		ColumnVector &	U
	)

Definition at line 337 of file fft.cpp.

void NEWMAT::DST_inverse	(	const ColumnVector &	V,
		ColumnVector &	U
	)

Definition at line 407 of file fft.cpp.

void NEWMAT::EigenValues	(	const SymmetricMatrix &	A,
		DiagonalMatrix &	D,
		Matrix &	Z
	)

Definition at line 283 of file evalue.cpp.

void NEWMAT::EigenValues	(	const SymmetricMatrix &	X,
		DiagonalMatrix &	D
	)

Definition at line 286 of file evalue.cpp.

void NEWMAT::EigenValues	(	const SymmetricMatrix &	X,
		DiagonalMatrix &	D,
		SymmetricMatrix &	A
	)

Definition at line 289 of file evalue.cpp.

void NEWMAT::FFT	(	const ColumnVector &	U,
		const ColumnVector &	V,
		ColumnVector &	X,
		ColumnVector &	Y
	)

Definition at line 196 of file fft.cpp.

void NEWMAT::FFTI	(	const ColumnVector &	U,
		const ColumnVector &	V,
		ColumnVector &	X,
		ColumnVector &	Y
	)

Definition at line 115 of file fft.cpp.

void NEWMAT::HHDecompose	(	Matrix &	X,
		LowerTriangularMatrix &	L
	)		[inline]

Definition at line 26 of file newmatap.h.

void NEWMAT::HHDecompose	(	const Matrix &	X,
		Matrix &	Y,
		Matrix &	M
	)		[inline]

Definition at line 29 of file newmatap.h.

bool NEWMAT::IsZero

(

const GeneralMatrix &

A

)

[inline]

Definition at line 1747 of file newmat.h.

bool NEWMAT::IsZero

(

const BaseMatrix &

A

)

Definition at line 982 of file newmat7.cpp.

void NEWMAT::Jacobi	(	const SymmetricMatrix &	X,
		DiagonalMatrix &	D,
		SymmetricMatrix &	A
	)

Definition at line 113 of file jacobi.cpp.

void NEWMAT::Jacobi	(	const SymmetricMatrix &	X,
		DiagonalMatrix &	D
	)

Definition at line 110 of file jacobi.cpp.

void NEWMAT::Jacobi	(	const SymmetricMatrix &	X,
		DiagonalMatrix &	D,
		Matrix &	V
	)

Definition at line 116 of file jacobi.cpp.

void NEWMAT::Jacobi	(	const SymmetricMatrix &	X,
		DiagonalMatrix &	D,
		SymmetricMatrix &	A,
		Matrix &	V,
		bool	eivec
	)

Definition at line 27 of file jacobi.cpp.

KPMatrix& NEWMAT::KP	(	const BaseMatrix &	bm1,
		const BaseMatrix &	bm2
	)

Definition at line 288 of file newmat6.cpp.

LogAndSign NEWMAT::LogDeterminant

(

const BaseMatrix &

B

)

[inline]

Definition at line 1725 of file newmat.h.

void NEWMAT::MatrixErrorNoSpace

(

void *

v

)

Definition at line 275 of file newmatex.cpp.

Real NEWMAT::Maximum

(

const BaseMatrix &

B

)

[inline]

Definition at line 1740 of file newmat.h.

Real NEWMAT::MaximumAbsoluteValue

(

const BaseMatrix &

B

)

[inline]

Definition at line 1736 of file newmat.h.

Real NEWMAT::Minimum

(

const BaseMatrix &

B

)

[inline]

Definition at line 1741 of file newmat.h.

Real NEWMAT::MinimumAbsoluteValue

(

const BaseMatrix &

B

)

[inline]

Definition at line 1738 of file newmat.h.

Real NEWMAT::Norm1

(

const BaseMatrix &

B

)

[inline]

Definition at line 1742 of file newmat.h.

Real NEWMAT::Norm1

(

RowVector &

RV

)

[inline]

Definition at line 1743 of file newmat.h.

Real NEWMAT::NormFrobenius

(

const BaseMatrix &

B

)

[inline]

Definition at line 1730 of file newmat.h.

Real NEWMAT::NormInfinity

(

const BaseMatrix &

B

)

[inline]

Definition at line 1744 of file newmat.h.

Real NEWMAT::NormInfinity

(

ColumnVector &

CV

)

[inline]

Definition at line 1745 of file newmat.h.

bool NEWMAT::operator!=	(	const GeneralMatrix &	A,
		const GeneralMatrix &	B
	)		[inline]

Definition at line 1703 of file newmat.h.

bool NEWMAT::operator!=	(	const BaseMatrix &	A,
		const BaseMatrix &	B
	)		[inline]

Definition at line 1705 of file newmat.h.

ScaledMatrix& NEWMAT::operator*	(	Real	f,
		const BaseMatrix &	BM
	)		[inline]

Definition at line 1752 of file newmat.h.

ShiftedMatrix& NEWMAT::operator+	(	Real	f,
		const BaseMatrix &	BM
	)		[inline]

Definition at line 1750 of file newmat.h.

NegShiftedMatrix& NEWMAT::operator-	(	Real	f,
		const BaseMatrix &	bm1
	)

Definition at line 347 of file newmat6.cpp.

bool NEWMAT::operator<	(	const BaseMatrix &	A,
		const BaseMatrix &
	)		[inline]

Definition at line 1714 of file newmat.h.

ostream& NEWMAT::operator<<	(	ostream &	s,
		const BaseMatrix &	X
	)

Definition at line 33 of file newmat9.cpp.

ostream& NEWMAT::operator<<	(	ostream &	s,
		const GeneralMatrix &	X
	)

Definition at line 40 of file newmat9.cpp.

std::ostream& NEWMAT::operator<<	(	std::ostream &	,
		const BaseMatrix &
	)

std::ostream& NEWMAT::operator<<	(	std::ostream &	,
		const GeneralMatrix &
	)

bool NEWMAT::operator<=	(	const BaseMatrix &	A,
		const BaseMatrix &
	)		[inline]

Definition at line 1710 of file newmat.h.

bool NEWMAT::operator==	(	const GeneralMatrix &	A,
		const GeneralMatrix &	B
	)

Definition at line 943 of file newmat7.cpp.

bool NEWMAT::operator==	(	const BaseMatrix &	A,
		const BaseMatrix &	B
	)

Definition at line 905 of file newmat7.cpp.

bool NEWMAT::operator>	(	const BaseMatrix &	A,
		const BaseMatrix &
	)		[inline]

Definition at line 1716 of file newmat.h.

bool NEWMAT::operator>=	(	const BaseMatrix &	A,
		const BaseMatrix &
	)		[inline]

Definition at line 1712 of file newmat.h.

void NEWMAT::QRZ	(	const Matrix &	X,
		Matrix &	Y,
		Matrix &	M
	)

Definition at line 136 of file hholder.cpp.

void NEWMAT::QRZ	(	Matrix &	X,
		UpperTriangularMatrix &	U
	)

Definition at line 101 of file hholder.cpp.

void NEWMAT::QRZT	(	Matrix &	X,
		LowerTriangularMatrix &	L
	)

Definition at line 26 of file hholder.cpp.

void NEWMAT::QRZT	(	const Matrix &	X,
		Matrix &	Y,
		Matrix &	M
	)

Definition at line 50 of file hholder.cpp.

void NEWMAT::RealFFT	(	const ColumnVector &	U,
		ColumnVector &	X,
		ColumnVector &	Y
	)

Definition at line 125 of file fft.cpp.

void NEWMAT::RealFFTI	(	const ColumnVector &	A,
		const ColumnVector &	B,
		ColumnVector &	U
	)

Definition at line 161 of file fft.cpp.

bool NEWMAT::Rectangular	(	MatrixType	a,
		MatrixType	b,
		MatrixType	c
	)

Definition at line 88 of file newmat1.cpp.

void NEWMAT::Rotate	(	RectMatrixCol &	U,
		RectMatrixCol &	V,
		Real	tau,
		Real	s
	)

Definition at line 155 of file newmatrm.cpp.

void NEWMAT::SortAscending

(

GeneralMatrix &

GM

)

Definition at line 121 of file sort.cpp.

void NEWMAT::SortDescending

(

GeneralMatrix &

GM

)

Definition at line 45 of file sort.cpp.

void NEWMAT::SortSV	(	DiagonalMatrix &	D,
		Matrix &	U,
		Matrix &	V,
		bool	ascending = false
	)

Definition at line 224 of file sort.cpp.

void NEWMAT::SortSV	(	DiagonalMatrix &	D,
		Matrix &	U,
		bool	ascending = false
	)

Definition at line 190 of file sort.cpp.

SPMatrix& NEWMAT::SP	(	const BaseMatrix &	bm1,
		const BaseMatrix &	bm2
	)

Definition at line 280 of file newmat6.cpp.

int NEWMAT::square

(

int

x

)

[inline]

Definition at line 111 of file newfft.cpp.

Real NEWMAT::square

(

Real

x

)

[inline]

Definition at line 532 of file bandmat.cpp.

Real NEWMAT::Sum

(

const BaseMatrix &

B

)

[inline]

Definition at line 1734 of file newmat.h.

Real NEWMAT::SumAbsoluteValue

(

const BaseMatrix &

B

)

[inline]

Definition at line 1732 of file newmat.h.

Real NEWMAT::SumSquare

(

const BaseMatrix &

B

)

[inline]

Definition at line 1729 of file newmat.h.

void NEWMAT::SVD	(	const Matrix &	A,
		DiagonalMatrix &	D
	)

Definition at line 219 of file svd.cpp.

void NEWMAT::SVD	(	const Matrix &	A,
		DiagonalMatrix &	D,
		Matrix &	U,
		bool	withU = true
	)		[inline]

Definition at line 41 of file newmatap.h.

void NEWMAT::SVD	(	const Matrix &	A,
		DiagonalMatrix &	Q,
		Matrix &	U,
		Matrix &	V,
		bool	withU = true,
		bool	withV = true
	)

Definition at line 49 of file svd.cpp.

Real NEWMAT::Trace

(

const BaseMatrix &

B

)

[inline]

Definition at line 1731 of file newmat.h.