algebra_lin Module Reference

LINEAR ALGEBRA TOOLS More...

Data Types
interface	matvecprod
interface	transpose

Functions/Subroutines
subroutine	algebra_lin_matvecprod (y, A, X)
	Matrix Vector Product v <= m*u. More...
subroutine, public	matmatprod (M, A, B)
	M <– A * B. More...
subroutine	array_transpose (M, A)
	M <– transpose(A) More...
subroutine, public	invtrisup (res, M, vec)
	Calcul de x=M^{-1}vec avec M triangulaire superieure. More...
real(rp) function, dimension(3), public	crossprod_3d (u, v)
	Cross product in R**3. More...
real(rp) function, public	det_3x3 (M)
	determinant of 3x3 matrix More...
real(rp) function, public	det_3x2 (M)
	'determinant' of 3x2 matrix More...
real(rp) function, dimension(3, 3), public	cplmtmat_3x3 (M)
	N = complementary matrix of M = transpose of the cofactor matrix. More...
real(rp) function, dimension(3, 2), public	cplmtmat_3x2 (M)
	N = 'complementary' matrix of M. More...
real(rp) function, public	nrm2_3d (v)
	Euclidian norm. More...
subroutine, public	matvecprod_3x3 (y, A, X)
	matrix vector product R3 –> R3 More...
subroutine, public	matvecprod_3x2 (y, A, X)
	matrix vector product R2 –> R3 More...
subroutine, public	matvecprod_3x1 (y, A, X)
	matrix vector product R1 –> R3 More...
subroutine, public	solve_3x3 (x, A, b)
	Solve A x = b for 3x3 matrix. More...

Detailed Description

LINEAR ALGEBRA TOOLS

Author

Charles Pierre

Function/Subroutine Documentation

algebra_lin_matvecprod()

subroutine algebra_lin::algebra_lin_matvecprod ( real(rp), dimension(:), intent(out)  y, real(rp), dimension(size(y,1), size(x,1)), intent(in)  A, real(rp), dimension(:), intent(in)  X  )

private

Matrix Vector Product v <= m*u.

Definition at line 71 of file algebra_lin.F90.

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array_transpose()

subroutine algebra_lin::array_transpose ( real(rp), dimension(:,:), intent(out)  M, real(rp), dimension(:,:), intent(in)  A  )

private

M <– transpose(A)

Definition at line 122 of file algebra_lin.F90.

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cplmtmat_3x2()

real(rp) function, dimension(3,2), public algebra_lin::cplmtmat_3x2

(

real(rp), dimension(3,2), intent(in)

M

)

N = 'complementary' matrix of M.

N * t^M = det_3x2(M) * Id

Definition at line 247 of file algebra_lin.F90.

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cplmtmat_3x3()

real(rp) function, dimension(3,3), public algebra_lin::cplmtmat_3x3

(

real(rp), dimension(3,3), intent(in)

M

)

N = complementary matrix of M = transpose of the cofactor matrix.

M * t^N = det(M) * Id

Definition at line 233 of file algebra_lin.F90.

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crossprod_3d()

real(rp) function, dimension(3), public algebra_lin::crossprod_3d	(	real(rp), dimension(3), intent(in)	u,
		real(rp), dimension(3), intent(in)	v
	)

Cross product in R**3.

Definition at line 178 of file algebra_lin.F90.

det_3x2()

real(rp) function, public algebra_lin::det_3x2

(

real(rp), dimension(3,2), intent(in)

M

)

'determinant' of 3x2 matrix

det(AB,AC) = norm2( crossProd( AB, AC ))

Definition at line 210 of file algebra_lin.F90.

det_3x3()

real(rp) function, public algebra_lin::det_3x3

(

real(rp), dimension(3,3), intent(in)

M

)

determinant of 3x3 matrix

Definition at line 191 of file algebra_lin.F90.

invtrisup()

subroutine, public algebra_lin::invtrisup	(	real(rp), dimension(:), intent(out)	res,
		real(rp), dimension(:,:), intent(in)	M,
		real(rp), dimension(:), intent(in)	vec
	)

Calcul de x=M^{-1}vec avec M triangulaire superieure.

Definition at line 146 of file algebra_lin.F90.

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matmatprod()

subroutine, public algebra_lin::matmatprod	(	real(rp), dimension(:,:), intent(out)	M,
		real(rp), dimension(:,:), intent(in)	A,
		real(rp), dimension(:,:), intent(in)	B
	)

M <– A * B.

Definition at line 95 of file algebra_lin.F90.

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matvecprod_3x1()

subroutine, public algebra_lin::matvecprod_3x1	(	real(rp), dimension(3), intent(out)	y,
		real(rp), dimension(3,1), intent(in)	A,
		real(rp), dimension(1), intent(in)	X
	)

matrix vector product R1 –> R3

Definition at line 310 of file algebra_lin.F90.

matvecprod_3x2()

subroutine, public algebra_lin::matvecprod_3x2	(	real(rp), dimension(3), intent(out)	y,
		real(rp), dimension(3,2), intent(in)	A,
		real(rp), dimension(2), intent(in)	X
	)

matrix vector product R2 –> R3

Definition at line 297 of file algebra_lin.F90.

matvecprod_3x3()

subroutine, public algebra_lin::matvecprod_3x3	(	real(rp), dimension(3), intent(out)	y,
		real(rp), dimension(3,3), intent(in)	A,
		real(rp), dimension(3), intent(in)	X
	)

matrix vector product R3 –> R3

Definition at line 282 of file algebra_lin.F90.

nrm2_3d()

real(rp) function, public algebra_lin::nrm2_3d

(

real(rp), dimension(3)

v

)

Euclidian norm.

Definition at line 271 of file algebra_lin.F90.

solve_3x3()

subroutine, public algebra_lin::solve_3x3	(	real(rp), dimension(3), intent(out)	x,
		real(rp), dimension(3,3), intent(in)	A,
		real(rp), dimension(3), intent(in)	b
	)

Solve A x = b for 3x3 matrix.

Definition at line 322 of file algebra_lin.F90.

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