lauum(3)

NAME
lauum - lauum: triangular multiply: U^H U

SYNOPSIS

  Functions

subroutine clauum (uplo, n, a, lda, info)
CLAUUM computes the product UUH or LHL, where U and L are upper or lower triangular matrices (blocked algorithm).
subroutine dlauum (uplo, n, a, lda, info)
DLAUUM computes the product UUH or LHL, where U and L are upper or lower triangular matrices (blocked algorithm).
subroutine slauum (uplo, n, a, lda, info)
SLAUUM computes the product UUH or LHL, where U and L are upper or lower triangular matrices (blocked algorithm).
subroutine zlauum (uplo, n, a, lda, info)
ZLAUUM computes the product UUH or LHL, where U and L are upper or lower triangular matrices (blocked algorithm).

Detailed Description

Function Documentation

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

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

Purpose:

    !>
    !> CLAUUM 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 blocked form of the algorithm, calling Level 3 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 dlauum (character uplo, integer n, double precision, dimension( lda, * ) a, integer lda, integer info)

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

Purpose:

    !>
    !> DLAUUM 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 blocked form of the algorithm, calling Level 3 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 slauum (character uplo, integer n, real, dimension( lda, * ) a, integer lda, integer info)

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

Purpose:

    !>
    !> SLAUUM 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 blocked form of the algorithm, calling Level 3 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 zlauum (character uplo, integer n, complex*16, dimension( lda, * ) a, integer lda, integer info)

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

Purpose:

    !>
    !> ZLAUUM 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 blocked form of the algorithm, calling Level 3 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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