rocsolver_cungtr Interface Reference

• hipfort_rocsolver
• rocsolver_cungtr

Public Member Functions | List of all members

hipfort_rocsolver::rocsolver_cungtr Interface Reference

UNGTR generates an n-by-n unitary Matrix Q. More...

Public Member Functions
integer(kind(rocblas_status_success)) function	rocsolver_cungtr_ (handle, uplo, n, A, lda, ipiv)
integer(kind(rocblas_status_success)) function	rocsolver_cungtr_full_rank (handle, uplo, n, A, lda, ipiv)
integer(kind(rocblas_status_success)) function	rocsolver_cungtr_rank_0 (handle, uplo, n, A, lda, ipiv)
integer(kind(rocblas_status_success)) function	rocsolver_cungtr_rank_1 (handle, uplo, n, A, lda, ipiv)

Detailed Description

UNGTR generates an n-by-n unitary Matrix Q.

Q is defined as the product of n-1 Householder reflectors of order n. If uplo indicates upper, then Q has the form

\[ Q = H_{n-1}H_{n-2}\cdots H_1 \]

On the other hand, if uplo indicates lower, then Q has the form

\[ Q = H_1H_2\cdots H_{n-1} \]

The Householder matrices \(H_i\) are never stored, they are computed from its corresponding Householder vectors \(v_i\) and scalars \(\text{ipiv}[i]\), as returned by HETRD in its arguments A and tau.

Parameters

[in]	handle	rocblas_handle.
[in]	uplo	rocblas_fill. Specifies whether the HETRD factorization was upper or lower triangular. If uplo indicates lower (or upper), then the upper (or lower) part of A is not used.
[in]	n	rocblas_int. n >= 0. The number of rows and columns of the matrix Q.
[in,out]	A	pointer to type. Array on the GPU of dimension lda*n. On entry, the Householder vectors as returned by HETRD. On exit, the computed matrix Q.
[in]	lda	rocblas_int. lda >= m. Specifies the leading dimension of A.
[in]	ipiv	pointer to type. Array on the GPU of dimension n-1. The Householder scalars as returned by HETRD.

Member Function/Subroutine Documentation

◆ rocsolver_cungtr_()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_cungtr::rocsolver_cungtr_	(	type(c_ptr), value	handle,
		integer(kind(rocblas_fill_upper)), value	uplo,
		integer(c_int), value	n,
		type(c_ptr), value	A,
		integer(c_int), value	lda,
		type(c_ptr), value	ipiv
	)

◆ rocsolver_cungtr_full_rank()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_cungtr::rocsolver_cungtr_full_rank	(	type(c_ptr)	handle,
		integer(kind(rocblas_fill_upper))	uplo,
		integer(c_int)	n,
		complex(c_float_complex), dimension(:,:), target	A,
		integer(c_int)	lda,
		complex(c_float_complex), dimension(:), target	ipiv
	)

◆ rocsolver_cungtr_rank_0()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_cungtr::rocsolver_cungtr_rank_0	(	type(c_ptr)	handle,
		integer(kind(rocblas_fill_upper))	uplo,
		integer(c_int)	n,
		complex(c_float_complex), target	A,
		integer(c_int)	lda,
		complex(c_float_complex), target	ipiv
	)

◆ rocsolver_cungtr_rank_1()

integer(kind(rocblas_status_success)) function hipfort_rocsolver::rocsolver_cungtr::rocsolver_cungtr_rank_1	(	type(c_ptr)	handle,
		integer(kind(rocblas_fill_upper))	uplo,
		integer(c_int)	n,
		complex(c_float_complex), dimension(:), target	A,
		integer(c_int)	lda,
		complex(c_float_complex), dimension(:), target	ipiv
	)

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

• hipfort_rocsolver.F90