la_lapack::potrf2 Interface Reference

POTRF2: computes the Cholesky factorization of a Hermitian positive definite matrix A using the recursive algorithm. The factorization has the form A = U**H * U, if UPLO = 'U', or A = L * L**H, if UPLO = 'L', where U is an upper triangular matrix and L is lower triangular. This is the recursive version of the algorithm. It divides the matrix into four submatrices: [ A11 | A12 ] where A11 is n1 by n1 and A22 is n2 by n2 A = [ --—|--— ] with n1 = n/2 [ A21 | A22 ] n2 = n-n1 The subroutine calls itself to factor A11. Update and scale A21 or A12, update A22 then calls itself to factor A22. More...

Public Member Functions
pure recursive subroutine	cpotrf2 (uplo, n, a, lda, info)
	la_cpotrf2
pure recursive subroutine	dpotrf2 (uplo, n, a, lda, info)
	la_dpotrf2
	la_qpotrf2
pure recursive subroutine	spotrf2 (uplo, n, a, lda, info)
	la_spotrf2
	la_wpotrf2
pure recursive subroutine	zpotrf2 (uplo, n, a, lda, info)
	la_zpotrf2

Detailed Description

POTRF2: computes the Cholesky factorization of a Hermitian positive definite matrix A using the recursive algorithm. The factorization has the form A = U**H * U, if UPLO = 'U', or A = L * L**H, if UPLO = 'L', where U is an upper triangular matrix and L is lower triangular. This is the recursive version of the algorithm. It divides the matrix into four submatrices: [ A11 | A12 ] where A11 is n1 by n1 and A22 is n2 by n2 A = [ --—|--— ] with n1 = n/2 [ A21 | A22 ] n2 = n-n1 The subroutine calls itself to factor A11. Update and scale A21 or A12, update A22 then calls itself to factor A22.

Member Function/Subroutine Documentation

cpotrf2()

pure recursive subroutine la_lapack::potrf2::cpotrf2	(	character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		complex(sp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		integer(ilp), intent(out)	info
	)

dpotrf2()

pure recursive subroutine la_lapack::potrf2::dpotrf2	(	character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		real(dp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		integer(ilp), intent(out)	info
	)

la_cpotrf2()

la_lapack::potrf2::la_cpotrf2

la_dpotrf2()

la_lapack::potrf2::la_dpotrf2

la_qpotrf2()

la_lapack::potrf2::la_qpotrf2

la_spotrf2()

la_lapack::potrf2::la_spotrf2

la_wpotrf2()

la_lapack::potrf2::la_wpotrf2

la_zpotrf2()

la_lapack::potrf2::la_zpotrf2

spotrf2()

pure recursive subroutine la_lapack::potrf2::spotrf2	(	character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		real(sp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		integer(ilp), intent(out)	info
	)

zpotrf2()

pure recursive subroutine la_lapack::potrf2::zpotrf2	(	character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		complex(dp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		integer(ilp), intent(out)	info
	)

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The documentation for this interface was generated from the following file:

• la_lapack.f90