Mat3 class

3x3 dense matrix object More...


Files
file	vec3.h
	Classes Vec3,Mat3: 3x1 vector and 3x3 dense matrix objects.
Typedefs
typedef double	Mat3 [3][3]
	Mat3 definition. 3x3 dense matrix object.
Functions
double	Mat3_nrm1 (Mat3 A)
	1-norm of a 3-matrix.
double	Mat3_nrm2 (Mat3 A)
	2-norm of a 3-matrix.
double	Mat3_nrm8 (Mat3 A)
	oo-norm of a 3-matrix.
double	Mat3_dif1 (Mat3 A, Mat3 B)
	1-norm of difference of two 3-matrices.
double	Mat3_dif2 (Mat3 A, Mat3 B)
	2-norm of difference of two 3-matrices.
double	Mat3_dif8 (Mat3 A, Mat3 B)
	oo-norm of difference of two 3-matrices.
double	Mat3_nrm8Low (Mat3 A)
	oo-norm of lower-triangle of a 3-matrix.
void	Mat3_eye (Mat3 A)
	identity 3-matrix.
void	Mat3_init (Mat3 A, double val)
	initialize a 3-matrix.
void	Mat3_scal (Mat3 A, double val)
	normalize a 3-matrix.
void	Mat3_copy (Mat3 A, Mat3 B)
	copy a 3-matrix.
void	Mat3_axpy (Mat3 A, Mat3 B, double val)
	Saxpy for 3-matrices.
void	Mat3_mult (Mat3 C, Mat3 A, Mat3 B)
	multiply 3-matrices.
void	Mat3_putCol (Mat3 A, Vec3 u, int col)
	put a 3-vector column in a 3-matrix.
void	Mat3_putRow (Mat3 A, Vec3 u, int row)
	put a 3-vector row in a 3-matrix.
void	Mat3_print (Mat3 A, const char *name)
	print a 3-matrix.
double	Mat3_qri (Mat3 V, Mat3 D, Mat3 A)
	QR iteration for 3-matrices.
void	Mat3_gramSch (Mat3 Q, Mat3 R, Mat3 A)
	QR factorization of 3-matrix (via modified Graham-Schmidt).
void	Mat3_qr (Mat3 Q, Mat3 R, Mat3 A)
	a single QR iteration for a 3-matrix.
double	Mat3_det (Mat3 A)
	determinant of a 3-matrix.
void	Mat3_inverse (Mat3 A, Mat3 Ainv)
	inverse of a 3-matrix.

Detailed Description

3x3 dense matrix object

Typedef Documentation

typedef double Mat3[3][3]

Mat3 definition. 3x3 dense matrix object.

Author:: Michael Holst

Function Documentation

void Mat3_axpy	(	Mat3	A,
		Mat3	B,
		double	val
	)

Saxpy for 3-matrices.

Author:: Michael Holst

Note:: Class Vec3,Mat3: Non-inlineable methods (vec3.c)

Returns:: None

Parameters:

	A	the output 3-matrix
	B	the source 3-matrix
	val	the coeficient of the 3-matrix B components

void Mat3_copy	(	Mat3	A,
		Mat3	B
	)

copy a 3-matrix.

Author:: Michael Holst

Note:: Class Vec3,Mat3: Non-inlineable methods (vec3.c)

Returns:: None

Parameters:

	A	the output 3-matrix
	B	the source 3-matrix

double Mat3_det ( Mat3 A )

determinant of a 3-matrix.

Author:: Michael Holst

Note:: Class Vec3,Mat3: Non-inlineable methods (vec3.c)

Returns:: determinant of a 3-matrix

Parameters:

A

the 3-matrix

double Mat3_dif1	(	Mat3	A,
		Mat3	B
	)

1-norm of difference of two 3-matrices.

Author:: Michael Holst

Note:: Class Vec3,Mat3: Non-inlineable methods (vec3.c)

Returns:: 1-norm of difference of two 3-matrices

Parameters:

	A	the 3-matrix A
	B	the 3-matrix B

double Mat3_dif2	(	Mat3	A,
		Mat3	B
	)

2-norm of difference of two 3-matrices.

Author:: Michael Holst

Note:: Class Vec3,Mat3: Non-inlineable methods (vec3.c)

Returns:: 2-norm of difference of two 3-matrices

Parameters:

	A	the 3-matrix A
	B	the 3-matrix B

double Mat3_dif8	(	Mat3	A,
		Mat3	B
	)

oo-norm of difference of two 3-matrices.

Author:: Michael Holst

Note:: Class Vec3,Mat3: Non-inlineable methods (vec3.c)

Returns:: oo-norm of difference of two 3-matrices

Parameters:

	A	the 3-matrix A
	B	the 3-matrix B

void Mat3_eye ( Mat3 A )

identity 3-matrix.

Author:: Michael Holst

Note:: Class Vec3,Mat3: Non-inlineable methods (vec3.c)

Returns:: None

Parameters:

A

the 3-matrix

void Mat3_gramSch	(	Mat3	Q,
		Mat3	R,
		Mat3	A
	)

QR factorization of 3-matrix (via modified Graham-Schmidt).

Author:: Michael Holst

Note:: Class Vec3,Mat3: Non-inlineable methods (vec3.c)

Returns:: None

Parameters:

	Q	the Q 3-matrix
	R	the R 3-matrix
	A	the source 3-matrix

void Mat3_init	(	Mat3	A,
		double	val
	)

initialize a 3-matrix.

Author:: Michael Holst

Note:: Class Vec3,Mat3: Non-inlineable methods (vec3.c)

Returns:: None

Parameters:

	A	the 3-matrix
	val	initialized value of the 3-matrix component

void Mat3_inverse	(	Mat3	A,
		Mat3	Ainv
	)

inverse of a 3-matrix.

Author:: Michael Holst

Note:: Class Vec3,Mat3: Non-inlineable methods (vec3.c)

Returns:: None

Parameters:

	A	the 3-matrix
	Ainv	inverse of a 3-matrix A

void Mat3_mult	(	Mat3	C,
		Mat3	A,
		Mat3	B
	)

multiply 3-matrices.

Author:: Michael Holst

Note:: Class Vec3,Mat3: Non-inlineable methods (vec3.c)

Returns:: None

Parameters:

	C	the output 3-matrix
	A	the source 3-matrix A
	B	the source 3-matrix B

double Mat3_nrm1 ( Mat3 A )

1-norm of a 3-matrix.

Author:: Michael Holst

Note:: Class Vec3,Mat3: Non-inlineable methods (vec3.c)

Returns:: 1-norm of a 3-matrix

Parameters:

A

the 3-matrix

double Mat3_nrm2 ( Mat3 A )

2-norm of a 3-matrix.

Author:: Michael Holst

Note:: Class Vec3,Mat3: Non-inlineable methods (vec3.c)

Returns:: 2-norm of a 3-matrix

Parameters:

A

the 3-matrix

double Mat3_nrm8 ( Mat3 A )

oo-norm of a 3-matrix.

Author:: Michael Holst

Note:: Class Vec3,Mat3: Non-inlineable methods (vec3.c)

Returns:: oo-norm of a 3-matrix

Parameters:

A

the 3-matrix

double Mat3_nrm8Low ( Mat3 A )

oo-norm of lower-triangle of a 3-matrix.

Author:: Michael Holst

Note:: Class Vec3,Mat3: Non-inlineable methods (vec3.c)

Returns:: oo-norm of lower-triangle of a 3-matrix

Parameters:

A

the 3-matrix

void Mat3_print	(	Mat3	A,
		const char *	name
	)

print a 3-matrix.

Author:: Michael Holst

Note:: Class Vec3,Mat3: Non-inlineable methods (vec3.c)

Returns:: None

Parameters:

	A	the 3-matrix
	name	the output name of the 3-matrix

void Mat3_putCol	(	Mat3	A,
		Vec3	u,
		int	col
	)

put a 3-vector column in a 3-matrix.

Author:: Michael Holst

Note:: Class Vec3,Mat3: Non-inlineable methods (vec3.c)

Returns:: None

Parameters:

	A	the 3-matrix
	u	the 3-vector
	col	the index of the 3-vector column in a 3-matrix

void Mat3_putRow	(	Mat3	A,
		Vec3	u,
		int	row
	)

put a 3-vector row in a 3-matrix.

Author:: Michael Holst

Note:: Class Vec3,Mat3: Non-inlineable methods (vec3.c)

Returns:: None

Parameters:

	A	the 3-matrix
	u	the 3-vector
	row	the index of the 3-vector row in a 3-matrix

void Mat3_qr	(	Mat3	Q,
		Mat3	R,
		Mat3	A
	)

a single QR iteration for a 3-matrix.

Author:: Michael Holst

Note:: Class Vec3,Mat3: Non-inlineable methods (vec3.c)

Returns:: None

Parameters:

	Q	the Q 3-matrix
	R	the R 3-matrix
	A	the source 3-matrix

double Mat3_qri	(	Mat3	V,
		Mat3	D,
		Mat3	A
	)

QR iteration for 3-matrices.

Author:: Michael Holst

Note:: Class Vec3,Mat3: Non-inlineable methods (vec3.c)

Returns:: QR iteration for 3-matrices

Parameters:

	V	the output 3-matrix
	D	the diagonal 3-matrix
	A	the source 3-matrix

void Mat3_scal	(	Mat3	A,
		double	val
	)

normalize a 3-matrix.

Author:: Michael Holst

Note:: Class Vec3,Mat3: Non-inlineable methods (vec3.c)

Returns:: None

Parameters:

	A	the 3-matrix
	val	the coeficient of the 3-matrix components

Mat3 class

Files

Typedefs

Functions

Detailed Description

Typedef Documentation

Function Documentation