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.

  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.

  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.

  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.

Author

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