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lauu2(3) Library Functions Manual lauu2(3)

NAME

lauu2 - lauu2: triangular multiply: U^H U, level 2

SYNOPSIS

Functions


subroutine CLAUU2 (uplo, n, a, lda, info)
CLAUU2 computes the product UUH or LHL, where U and L are upper or lower triangular matrices (unblocked algorithm). subroutine DLAUU2 (uplo, n, a, lda, info)
DLAUU2 computes the product UUH or LHL, where U and L are upper or lower triangular matrices (unblocked algorithm). subroutine SLAUU2 (uplo, n, a, lda, info)
SLAUU2 computes the product UUH or LHL, where U and L are upper or lower triangular matrices (unblocked algorithm). subroutine ZLAUU2 (uplo, n, a, lda, info)
ZLAUU2 computes the product UUH or LHL, where U and L are upper or lower triangular matrices (unblocked algorithm).

Detailed Description

Function Documentation

subroutine CLAUU2 (character uplo, integer n, complex, dimension( lda, * ) a, integer lda, integer info)

CLAUU2 computes the product UUH or LHL, where U and L are upper or lower triangular matrices (unblocked algorithm).

Purpose:

!>
!> CLAUU2 computes the product U * U**H or L**H * L, where the triangular
!> factor U or L is stored in the upper or lower triangular part of
!> the array A.
!>
!> If UPLO = 'U' or 'u' then the upper triangle of the result is stored,
!> overwriting the factor U in A.
!> If UPLO = 'L' or 'l' then the lower triangle of the result is stored,
!> overwriting the factor L in A.
!>
!> This is the unblocked form of the algorithm, calling Level 2 BLAS.
!>

Parameters

UPLO 

!>          UPLO is CHARACTER*1
!>          Specifies whether the triangular factor stored in the array A
!>          is upper or lower triangular:
!>          = 'U':  Upper triangular
!>          = 'L':  Lower triangular
!>

N

!>          N is INTEGER
!>          The order of the triangular factor U or L.  N >= 0.
!>

A

!>          A is COMPLEX array, dimension (LDA,N)
!>          On entry, the triangular factor U or L.
!>          On exit, if UPLO = 'U', the upper triangle of A is
!>          overwritten with the upper triangle of the product U * U**H;
!>          if UPLO = 'L', the lower triangle of A is overwritten with
!>          the lower triangle of the product L**H * L.
!>

LDA

!>          LDA is INTEGER
!>          The leading dimension of the array A.  LDA >= max(1,N).
!>

INFO

!>          INFO is INTEGER
!>          = 0: successful exit
!>          < 0: if INFO = -k, the k-th argument had an illegal value
!>

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 101 of file clauu2.f.

subroutine DLAUU2 (character uplo, integer n, double precision, dimension( lda, * ) a, integer lda, integer info)

DLAUU2 computes the product UUH or LHL, where U and L are upper or lower triangular matrices (unblocked algorithm).

Purpose:

!>
!> DLAUU2 computes the product U * U**T or L**T * L, where the triangular
!> factor U or L is stored in the upper or lower triangular part of
!> the array A.
!>
!> If UPLO = 'U' or 'u' then the upper triangle of the result is stored,
!> overwriting the factor U in A.
!> If UPLO = 'L' or 'l' then the lower triangle of the result is stored,
!> overwriting the factor L in A.
!>
!> This is the unblocked form of the algorithm, calling Level 2 BLAS.
!>

Parameters

UPLO 

!>          UPLO is CHARACTER*1
!>          Specifies whether the triangular factor stored in the array A
!>          is upper or lower triangular:
!>          = 'U':  Upper triangular
!>          = 'L':  Lower triangular
!>

N

!>          N is INTEGER
!>          The order of the triangular factor U or L.  N >= 0.
!>

A

!>          A is DOUBLE PRECISION array, dimension (LDA,N)
!>          On entry, the triangular factor U or L.
!>          On exit, if UPLO = 'U', the upper triangle of A is
!>          overwritten with the upper triangle of the product U * U**T;
!>          if UPLO = 'L', the lower triangle of A is overwritten with
!>          the lower triangle of the product L**T * L.
!>

LDA

!>          LDA is INTEGER
!>          The leading dimension of the array A.  LDA >= max(1,N).
!>

INFO

!>          INFO is INTEGER
!>          = 0: successful exit
!>          < 0: if INFO = -k, the k-th argument had an illegal value
!>

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 101 of file dlauu2.f.

subroutine SLAUU2 (character uplo, integer n, real, dimension( lda, * ) a, integer lda, integer info)

SLAUU2 computes the product UUH or LHL, where U and L are upper or lower triangular matrices (unblocked algorithm).

Purpose:

!>
!> SLAUU2 computes the product U * U**T or L**T * L, where the triangular
!> factor U or L is stored in the upper or lower triangular part of
!> the array A.
!>
!> If UPLO = 'U' or 'u' then the upper triangle of the result is stored,
!> overwriting the factor U in A.
!> If UPLO = 'L' or 'l' then the lower triangle of the result is stored,
!> overwriting the factor L in A.
!>
!> This is the unblocked form of the algorithm, calling Level 2 BLAS.
!>

Parameters

UPLO 

!>          UPLO is CHARACTER*1
!>          Specifies whether the triangular factor stored in the array A
!>          is upper or lower triangular:
!>          = 'U':  Upper triangular
!>          = 'L':  Lower triangular
!>

N

!>          N is INTEGER
!>          The order of the triangular factor U or L.  N >= 0.
!>

A

!>          A is REAL array, dimension (LDA,N)
!>          On entry, the triangular factor U or L.
!>          On exit, if UPLO = 'U', the upper triangle of A is
!>          overwritten with the upper triangle of the product U * U**T;
!>          if UPLO = 'L', the lower triangle of A is overwritten with
!>          the lower triangle of the product L**T * L.
!>

LDA

!>          LDA is INTEGER
!>          The leading dimension of the array A.  LDA >= max(1,N).
!>

INFO

!>          INFO is INTEGER
!>          = 0: successful exit
!>          < 0: if INFO = -k, the k-th argument had an illegal value
!>

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 101 of file slauu2.f.

subroutine ZLAUU2 (character uplo, integer n, complex*16, dimension( lda, * ) a, integer lda, integer info)

ZLAUU2 computes the product UUH or LHL, where U and L are upper or lower triangular matrices (unblocked algorithm).

Purpose:

!>
!> ZLAUU2 computes the product U * U**H or L**H * L, where the triangular
!> factor U or L is stored in the upper or lower triangular part of
!> the array A.
!>
!> If UPLO = 'U' or 'u' then the upper triangle of the result is stored,
!> overwriting the factor U in A.
!> If UPLO = 'L' or 'l' then the lower triangle of the result is stored,
!> overwriting the factor L in A.
!>
!> This is the unblocked form of the algorithm, calling Level 2 BLAS.
!>

Parameters

UPLO 

!>          UPLO is CHARACTER*1
!>          Specifies whether the triangular factor stored in the array A
!>          is upper or lower triangular:
!>          = 'U':  Upper triangular
!>          = 'L':  Lower triangular
!>

N

!>          N is INTEGER
!>          The order of the triangular factor U or L.  N >= 0.
!>

A

!>          A is COMPLEX*16 array, dimension (LDA,N)
!>          On entry, the triangular factor U or L.
!>          On exit, if UPLO = 'U', the upper triangle of A is
!>          overwritten with the upper triangle of the product U * U**H;
!>          if UPLO = 'L', the lower triangle of A is overwritten with
!>          the lower triangle of the product L**H * L.
!>

LDA

!>          LDA is INTEGER
!>          The leading dimension of the array A.  LDA >= max(1,N).
!>

INFO

!>          INFO is INTEGER
!>          = 0: successful exit
!>          < 0: if INFO = -k, the k-th argument had an illegal value
!>

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 101 of file zlauu2.f.

Author

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