Provided by: liblapack-doc_3.12.0-3build1_all bug

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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