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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