newmatap.h File Reference

#include "newmat.h"

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Classes
class	FFT_Controller
	Decide which fft method to use and carry out new fft function. More...
class	MultiRadixCounter
class	SymmetricEigenAnalysis
Functions
ReturnMatrix	Cholesky (const SymmetricBandMatrix &)
ReturnMatrix	Cholesky (const SymmetricMatrix &)
void	DCT (const ColumnVector &, ColumnVector &)
void	DCT_II (const ColumnVector &, ColumnVector &)
void	DCT_II_inverse (const ColumnVector &, ColumnVector &)
void	DCT_inverse (const ColumnVector &, ColumnVector &)
void	downdate_Cholesky (UpperTriangularMatrix &chol, RowVector x)
void	DowndateCholesky (UpperTriangularMatrix &chol, const RowVector &x)
void	DST (const ColumnVector &, ColumnVector &)
void	DST_II (const ColumnVector &, ColumnVector &)
void	DST_II_inverse (const ColumnVector &, ColumnVector &)
void	DST_inverse (const ColumnVector &, ColumnVector &)
void	EigenValues (const SymmetricMatrix &A, DiagonalMatrix &D, Matrix &V)
void	EigenValues (const SymmetricMatrix &A, DiagonalMatrix &D, SymmetricMatrix &S)
void	EigenValues (const SymmetricMatrix &A, DiagonalMatrix &D)
void	eigenvalues (const SymmetricMatrix &, DiagonalMatrix &, Matrix &)
void	eigenvalues (const SymmetricMatrix &, DiagonalMatrix &, SymmetricMatrix &)
void	eigenvalues (const SymmetricMatrix &, DiagonalMatrix &)
void	extend_orthonormal (Matrix &A, int n)
void	FFT (const ColumnVector &, const ColumnVector &, ColumnVector &, ColumnVector &)
void	FFT2 (const Matrix &U, const Matrix &V, Matrix &X, Matrix &Y)
void	FFT2I (const Matrix &U, const Matrix &V, Matrix &X, Matrix &Y)
void	FFTI (const ColumnVector &, const ColumnVector &, ColumnVector &, ColumnVector &)
ReturnMatrix	Helmert (const Matrix &X, bool full=false)
ReturnMatrix	Helmert (int n, int j, bool full=false)
ReturnMatrix	Helmert (const ColumnVector &X, bool full=false)
ReturnMatrix	Helmert (int n, bool full=false)
ReturnMatrix	Helmert_transpose (const Matrix &Y, bool full=false)
Real	Helmert_transpose (const ColumnVector &Y, int j, bool full=false)
ReturnMatrix	Helmert_transpose (const ColumnVector &Y, bool full=false)
void	HHDecompose (const Matrix &X, Matrix &Y, Matrix &M)
void	HHDecompose (Matrix &X, LowerTriangularMatrix &L)
void	Jacobi (const SymmetricMatrix &, DiagonalMatrix &, SymmetricMatrix &, Matrix &, bool=true)
void	Jacobi (const SymmetricMatrix &, DiagonalMatrix &, Matrix &)
void	Jacobi (const SymmetricMatrix &, DiagonalMatrix &, SymmetricMatrix &)
void	Jacobi (const SymmetricMatrix &, DiagonalMatrix &)
void	left_circular_update_Cholesky (UpperTriangularMatrix &chol, int k, int l)
void	LeftCircularUpdateCholesky (UpperTriangularMatrix &chol, int k, int l)
void	QRZ (const Matrix &, Matrix &, Matrix &)
void	QRZ (Matrix &, UpperTriangularMatrix &)
void	QRZT (const Matrix &, Matrix &, Matrix &)
void	QRZT (Matrix &, LowerTriangularMatrix &)
void	RealFFT (const ColumnVector &, ColumnVector &, ColumnVector &)
void	RealFFTI (const ColumnVector &, const ColumnVector &, ColumnVector &)
void	right_circular_update_Cholesky (UpperTriangularMatrix &chol, int k, int l)
void	RightCircularUpdateCholesky (UpperTriangularMatrix &chol, int k, int l)
void	sort_ascending (GeneralMatrix &)
void	sort_descending (GeneralMatrix &)
void	SortAscending (GeneralMatrix &gm)
void	SortDescending (GeneralMatrix &gm)
void	SortSV (DiagonalMatrix &D, Matrix &U, Matrix &V, bool ascending=false)
void	SortSV (DiagonalMatrix &D, Matrix &U, bool ascending=false)
void	SVD (const Matrix &A, DiagonalMatrix &D, Matrix &U, bool withU=true)
void	SVD (const Matrix &, DiagonalMatrix &)
void	SVD (const Matrix &, DiagonalMatrix &, Matrix &, Matrix &, bool=true, bool=true)
void	update_Cholesky (UpperTriangularMatrix &chol, RowVector x)
void	UpdateCholesky (UpperTriangularMatrix &chol, const RowVector &x)
void	UpdateQRZ (Matrix &X, UpperTriangularMatrix &U)
void	updateQRZ (Matrix &X, UpperTriangularMatrix &U)
void	UpdateQRZT (Matrix &X, LowerTriangularMatrix &L)
void	updateQRZT (Matrix &X, LowerTriangularMatrix &L)

---

Detailed Description

Definition file for advanced matrix functions.

Definition in file newmatap.h.

---

Function Documentation

ReturnMatrix Cholesky

(

const SymmetricBandMatrix &

)

Definition at line 61 of file cholesky.cpp.

ReturnMatrix Cholesky

(

const SymmetricMatrix &

)

Definition at line 36 of file cholesky.cpp.

void DCT	(	const ColumnVector &	,
		ColumnVector &
	)

Definition at line 397 of file fft.cpp.

void DCT_II	(	const ColumnVector &	,
		ColumnVector &
	)

Definition at line 253 of file fft.cpp.

void DCT_II_inverse	(	const ColumnVector &	,
		ColumnVector &
	)

Definition at line 281 of file fft.cpp.

void DCT_inverse	(	const ColumnVector &	,
		ColumnVector &
	)

Definition at line 363 of file fft.cpp.

void downdate_Cholesky	(	UpperTriangularMatrix &	chol,
		RowVector	x
	)

Definition at line 129 of file cholesky.cpp.

void DowndateCholesky	(	UpperTriangularMatrix &	chol,
		const RowVector &	x
	)			[inline]

Definition at line 67 of file newmatap.h.

void DST	(	const ColumnVector &	,
		ColumnVector &
	)

Definition at line 434 of file fft.cpp.

void DST_II	(	const ColumnVector &	,
		ColumnVector &
	)

Definition at line 308 of file fft.cpp.

void DST_II_inverse	(	const ColumnVector &	,
		ColumnVector &
	)

Definition at line 336 of file fft.cpp.

void DST_inverse	(	const ColumnVector &	,
		ColumnVector &
	)

Definition at line 406 of file fft.cpp.

void EigenValues	(	const SymmetricMatrix &	A,
		DiagonalMatrix &	D,
		Matrix &	V
	)			[inline]

Definition at line 118 of file newmatap.h.

void EigenValues	(	const SymmetricMatrix &	A,
		DiagonalMatrix &	D,
		SymmetricMatrix &	S
	)			[inline]

Definition at line 115 of file newmatap.h.

void EigenValues	(	const SymmetricMatrix &	A,
		DiagonalMatrix &	D
	)			[inline]

Definition at line 112 of file newmatap.h.

void eigenvalues	(	const SymmetricMatrix &	,
		DiagonalMatrix &	,
		Matrix &
	)

Definition at line 287 of file evalue.cpp.

void eigenvalues	(	const SymmetricMatrix &	,
		DiagonalMatrix &	,
		SymmetricMatrix &
	)

Definition at line 293 of file evalue.cpp.

void eigenvalues	(	const SymmetricMatrix &	,
		DiagonalMatrix &
	)

Definition at line 290 of file evalue.cpp.

void extend_orthonormal	(	Matrix &	A,
		int	n
	)

Definition at line 341 of file hholder.cpp.

void FFT	(	const ColumnVector &	,
		const ColumnVector &	,
		ColumnVector &	,
		ColumnVector &
	)

Definition at line 201 of file fft.cpp.

void FFT2	(	const Matrix &	U,
		const Matrix &	V,
		Matrix &	X,
		Matrix &	Y
	)

Definition at line 444 of file fft.cpp.

void FFT2I	(	const Matrix &	U,
		const Matrix &	V,
		Matrix &	X,
		Matrix &	Y
	)

Definition at line 465 of file fft.cpp.

void FFTI	(	const ColumnVector &	,
		const ColumnVector &	,
		ColumnVector &	,
		ColumnVector &
	)

Definition at line 120 of file fft.cpp.

ReturnMatrix Helmert	(	const Matrix &	X,
		bool	full = false
	)

Definition at line 109 of file nm_misc.cpp.

ReturnMatrix Helmert	(	int	n,
		int	j,
		bool	full = false
	)

Definition at line 61 of file nm_misc.cpp.

ReturnMatrix Helmert	(	const ColumnVector &	X,
		bool	full = false
	)

Definition at line 46 of file nm_misc.cpp.

ReturnMatrix Helmert	(	int	n,
		bool	full = false
	)

Definition at line 24 of file nm_misc.cpp.

ReturnMatrix Helmert_transpose	(	const Matrix &	Y,
		bool	full = false
	)

Definition at line 125 of file nm_misc.cpp.

Real Helmert_transpose	(	const ColumnVector &	Y,
		int	j,
		bool	full = false
	)

Definition at line 93 of file nm_misc.cpp.

ReturnMatrix Helmert_transpose	(	const ColumnVector &	Y,
		bool	full = false
	)

Definition at line 76 of file nm_misc.cpp.

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

Definition at line 33 of file newmatap.h.

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

Definition at line 30 of file newmatap.h.

void Jacobi	(	const SymmetricMatrix &	,
		DiagonalMatrix &	,
		SymmetricMatrix &	,
		Matrix &	,
		bool	= true
	)

Definition at line 32 of file jacobi.cpp.

void Jacobi	(	const SymmetricMatrix &	,
		DiagonalMatrix &	,
		Matrix &
	)

Definition at line 121 of file jacobi.cpp.

void Jacobi	(	const SymmetricMatrix &	,
		DiagonalMatrix &	,
		SymmetricMatrix &
	)

Definition at line 118 of file jacobi.cpp.

void Jacobi	(	const SymmetricMatrix &	,
		DiagonalMatrix &
	)

Definition at line 115 of file jacobi.cpp.

void left_circular_update_Cholesky	(	UpperTriangularMatrix &	chol,
		int	k,
		int	l
	)

Definition at line 231 of file cholesky.cpp.

void LeftCircularUpdateCholesky	(	UpperTriangularMatrix &	chol,
		int	k,
		int	l
	)			[inline]

Definition at line 81 of file newmatap.h.

void QRZ	(	const Matrix &	,
		Matrix &	,
		Matrix &
	)

Definition at line 169 of file hholder.cpp.

void QRZ	(	Matrix &	,
		UpperTriangularMatrix &
	)

Definition at line 117 of file hholder.cpp.

void QRZT	(	const Matrix &	,
		Matrix &	,
		Matrix &
	)

Definition at line 66 of file hholder.cpp.

void QRZT	(	Matrix &	,
		LowerTriangularMatrix &
	)

Definition at line 33 of file hholder.cpp.

void RealFFT	(	const ColumnVector &	,
		ColumnVector &	,
		ColumnVector &
	)

Definition at line 130 of file fft.cpp.

void RealFFTI	(	const ColumnVector &	,
		const ColumnVector &	,
		ColumnVector &
	)

Definition at line 166 of file fft.cpp.

void right_circular_update_Cholesky	(	UpperTriangularMatrix &	chol,
		int	k,
		int	l
	)

Definition at line 176 of file cholesky.cpp.

void RightCircularUpdateCholesky	(	UpperTriangularMatrix &	chol,
		int	k,
		int	l
	)			[inline]

Definition at line 74 of file newmatap.h.

void sort_ascending

(

GeneralMatrix &

)

Definition at line 125 of file sort.cpp.

void sort_descending

(

GeneralMatrix &

)

Definition at line 49 of file sort.cpp.

void SortAscending

(

GeneralMatrix &

gm

)

[inline]

Definition at line 137 of file newmatap.h.

void SortDescending

(

GeneralMatrix &

gm

)

[inline]

Definition at line 139 of file newmatap.h.

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

Definition at line 228 of file sort.cpp.

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

Definition at line 194 of file sort.cpp.

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

Definition at line 90 of file newmatap.h.

void SVD	(	const Matrix &	,
		DiagonalMatrix &
	)

Definition at line 200 of file svd.cpp.

void SVD	(	const Matrix &	,
		DiagonalMatrix &	,
		Matrix &	,
		Matrix &	,
		bool	= true,
		bool	= true
	)

Definition at line 30 of file svd.cpp.

void update_Cholesky	(	UpperTriangularMatrix &	chol,
		RowVector	x
	)

Definition at line 102 of file cholesky.cpp.

void UpdateCholesky	(	UpperTriangularMatrix &	chol,
		const RowVector &	x
	)			[inline]

Definition at line 61 of file newmatap.h.

void UpdateQRZ	(	Matrix &	X,
		UpperTriangularMatrix &	U
	)			[inline]

Definition at line 43 of file newmatap.h.

void updateQRZ	(	Matrix &	X,
		UpperTriangularMatrix &	U
	)

Definition at line 269 of file hholder.cpp.

void UpdateQRZT	(	Matrix &	X,
		LowerTriangularMatrix &	L
	)			[inline]

Definition at line 40 of file newmatap.h.

void updateQRZT	(	Matrix &	X,
		LowerTriangularMatrix &	L
	)

Definition at line 229 of file hholder.cpp.