BlaSmallMatInv.c File Reference

Find inversion of small dense matrices in row-major format. More...

#include "fasp.h"
#include "fasp_functs.h"

Go to the source code of this file.

Macros
#define	SWAP(a, b)   {temp=(a);(a)=(b);(b)=temp;}

Functions
void	fasp_smat_inv_nc2 (REAL *a)
	Compute the inverse matrix of a 2*2 full matrix A (in place) More...
void	fasp_smat_inv_nc3 (REAL *a)
	Compute the inverse matrix of a 3*3 full matrix A (in place) More...
void	fasp_smat_inv_nc4 (REAL *a)
	Compute the inverse matrix of a 4*4 full matrix A (in place) More...
void	fasp_smat_inv_nc5 (REAL *a)
	Compute the inverse matrix of a 5*5 full matrix A (in place) More...
void	fasp_smat_inv_nc7 (REAL *a)
	Compute the inverse matrix of a 7*7 matrix a. More...
void	fasp_smat_inv_nc (REAL *a, const INT n)
	Compute the inverse of a matrix using Gauss Elimination. More...
SHORT	fasp_smat_invp_nc (REAL *a, const INT n)
	Compute the inverse of a matrix using Gauss Elimination with Pivoting. More...
SHORT	fasp_smat_inv (REAL *a, const INT n)
	Compute the inverse matrix of a small full matrix a. More...
REAL	fasp_smat_Linf (const REAL *A, const INT n)
	Compute the L infinity norm of A. More...
void	fasp_smat_identity_nc2 (REAL *a)
	Set a 2*2 full matrix to be a identity. More...
void	fasp_smat_identity_nc3 (REAL *a)
	Set a 3*3 full matrix to be a identity. More...
void	fasp_smat_identity_nc5 (REAL *a)
	Set a 5*5 full matrix to be a identity. More...
void	fasp_smat_identity_nc7 (REAL *a)
	Set a 7*7 full matrix to be a identity. More...
void	fasp_smat_identity (REAL *a, const INT n, const INT n2)
	Set a n*n full matrix to be a identity. More...

Detailed Description

Find inversion of small dense matrices in row-major format.

Note

This file contains Level-1 (Bla) functions. It requires: AuxMemory.c

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Copyright (C) 2009–Present by the FASP team. All rights reserved.

Released under the terms of the GNU Lesser General Public License 3.0 or later.

Definition in file BlaSmallMatInv.c.

Macro Definition Documentation

SWAP

#define SWAP	(		a,
			b
	)		{temp=(a);(a)=(b);(b)=temp;}

swap two numbers

Definition at line 17 of file BlaSmallMatInv.c.

Function Documentation

fasp_smat_identity()

void fasp_smat_identity	(	REAL *	a,
		const INT	n,
		const INT	n2
	)

Set a n*n full matrix to be a identity.

Parameters

a	Pointer to the REAL vector which stands for a n*n full matrix
n	Size of full matrix
n2	Length of the REAL vector which stores the n*n full matrix

Author

Xiaozhe Hu

Date

2010/12/25

Definition at line 754 of file BlaSmallMatInv.c.

fasp_smat_identity_nc2()

void fasp_smat_identity_nc2

(

REAL *

a

)

Set a 2*2 full matrix to be a identity.

Parameters

a	Pointer to the REAL vector which stands for a 2*2 full matrix

Author

Xiaozhe Hu

Date

2011/11/18

Definition at line 674 of file BlaSmallMatInv.c.

fasp_smat_identity_nc3()

void fasp_smat_identity_nc3

(

REAL *

a

)

Set a 3*3 full matrix to be a identity.

Parameters

a	Pointer to the REAL vector which stands for a 3*3 full matrix

Author

Xiaozhe Hu

Date

2010/12/25

Definition at line 691 of file BlaSmallMatInv.c.

fasp_smat_identity_nc5()

void fasp_smat_identity_nc5

(

REAL *

a

)

Set a 5*5 full matrix to be a identity.

Parameters

a	Pointer to the REAL vector which stands for a 5*5 full matrix

Author

Xiaozhe Hu

Date

2010/12/25

Definition at line 708 of file BlaSmallMatInv.c.

fasp_smat_identity_nc7()

void fasp_smat_identity_nc7

(

REAL *

a

)

Set a 7*7 full matrix to be a identity.

Parameters

a	Pointer to the REAL vector which stands for a 7*7 full matrix

Author

Xiaozhe Hu

Date

2010/12/25

Definition at line 729 of file BlaSmallMatInv.c.

fasp_smat_inv()

SHORT fasp_smat_inv	(	REAL *	a,
		const INT	n
	)

Compute the inverse matrix of a small full matrix a.

Parameters

a	Pointer to the REAL array which stands a n*n matrix
n	Dimension of the matrix

Author

Xiaozhe Hu, Shiquan Zhang

Date

04/21/2010

Definition at line 603 of file BlaSmallMatInv.c.

fasp_smat_inv_nc()

void fasp_smat_inv_nc	(	REAL *	a,
		const INT	n
	)

Compute the inverse of a matrix using Gauss Elimination.

Parameters

a	Pointer to the REAL array which stands a n*n matrix
n	Dimension of the matrix

Author

Xiaozhe Hu, Shiquan Zhang

Date

05/01/2010

Definition at line 441 of file BlaSmallMatInv.c.

fasp_smat_inv_nc2()

void fasp_smat_inv_nc2

(

REAL *

a

)

Compute the inverse matrix of a 2*2 full matrix A (in place)

Parameters

a	Pointer to the REAL array which stands a 2*2 matrix

Author

Xiaozhe Hu

Date

18/11/2011

Definition at line 33 of file BlaSmallMatInv.c.

fasp_smat_inv_nc3()

void fasp_smat_inv_nc3

(

REAL *

a

)

Compute the inverse matrix of a 3*3 full matrix A (in place)

Parameters

a	Pointer to the REAL array which stands a 3*3 matrix

Author

Xiaozhe Hu, Shiquan Zhang

Date

05/01/2010

Definition at line 67 of file BlaSmallMatInv.c.

fasp_smat_inv_nc4()

void fasp_smat_inv_nc4

(

REAL *

a

)

Compute the inverse matrix of a 4*4 full matrix A (in place)

Parameters

a	Pointer to the REAL array which stands a 4*4 matrix

Author

Xiaozhe Hu

Date

01/12/2013

Modified by Hongxuan Zhang on 06/13/2014: Fix a bug in M23.

Definition at line 111 of file BlaSmallMatInv.c.

fasp_smat_inv_nc5()

void fasp_smat_inv_nc5

(

REAL *

a

)

Compute the inverse matrix of a 5*5 full matrix A (in place)

Parameters

a	Pointer to the REAL array which stands a 5*5 matrix

Author

Xiaozhe Hu, Shiquan Zhang

Date

05/01/2010

Definition at line 170 of file BlaSmallMatInv.c.

fasp_smat_inv_nc7()

void fasp_smat_inv_nc7

(

REAL *

a

)

Compute the inverse matrix of a 7*7 matrix a.

Parameters

a	Pointer to the REAL array which stands a 7*7 matrix

Note

This is NOT implemented yet!

Author

Xiaozhe Hu, Shiquan Zhang

Date

05/01/2010

Definition at line 425 of file BlaSmallMatInv.c.

fasp_smat_invp_nc()

SHORT fasp_smat_invp_nc	(	REAL *	a,
		const INT	n
	)

Compute the inverse of a matrix using Gauss Elimination with Pivoting.

Parameters

a	Pointer to the REAL array which stands a n*n matrix
n	Dimension of the matrix

Author

Chensong Zhang

Date

04/03/2015

Note

This routine is based on gaussj() from "Numerical Recipies in C"!

Definition at line 508 of file BlaSmallMatInv.c.

fasp_smat_Linf()

REAL fasp_smat_Linf	(	const REAL *	A,
		const INT	n
	)

Compute the L infinity norm of A.

Parameters

A	Pointer to the n*n dense matrix
n	the dimension of the dense matrix

Author

Xiaozhe Hu

Date

05/26/2014

Definition at line 646 of file BlaSmallMatInv.c.