ZLAVSY performs one of the matrix-vector operations


    x := A*x  or  x := A'*x,


 where x is an N element vector and  A is one of the factors


 from the block U*D*U' or L*D*L' factorization computed by ZSYTRF.


 If TRANS = 'N', multiplies by U  or U * D  (or L  or L * D)


 If TRANS = 'T', multiplies by U' or D * U' (or L' or D * L')

UPLO

          UPLO is CHARACTER*1


          Specifies whether the factor stored in A is upper or lower


          triangular.


          = 'U':  Upper triangular


          = 'L':  Lower triangular

TRANS

          TRANS is CHARACTER*1


          Specifies the operation to be performed:


          = 'N':  x := A*x


          = 'T':  x := A'*x

DIAG

          DIAG is CHARACTER*1


          Specifies whether or not the diagonal blocks are unit


          matrices.  If the diagonal blocks are assumed to be unit,


          then A = U or A = L, otherwise A = U*D or A = L*D.


          = 'U':  Diagonal blocks are assumed to be unit matrices.


          = 'N':  Diagonal blocks are assumed to be non-unit matrices.

N

          N is INTEGER


          The number of rows and columns of the matrix A.  N >= 0.

NRHS

          NRHS is INTEGER


          The number of right hand sides, i.e., the number of vectors


          x to be multiplied by A.  NRHS >= 0.

A

          A is COMPLEX*16 array, dimension (LDA,N)


          The block diagonal matrix D and the multipliers used to


          obtain the factor U or L as computed by ZSYTRF.


          Stored as a 2-D triangular matrix.

LDA

          LDA is INTEGER


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

IPIV

          IPIV is INTEGER array, dimension (N)


          Details of the interchanges and the block structure of D,


          as determined by ZSYTRF.


          If UPLO = 'U':


               If IPIV(k) > 0, then rows and columns k and IPIV(k)


               were interchanged and D(k,k) is a 1-by-1 diagonal block.


               (If IPIV( k ) = k, no interchange was done).


               If IPIV(k) = IPIV(k-1) < 0, then rows and


               columns k-1 and -IPIV(k) were interchanged,


               D(k-1:k,k-1:k) is a 2-by-2 diagonal block.


          If UPLO = 'L':


               If IPIV(k) > 0, then rows and columns k and IPIV(k)


               were interchanged and D(k,k) is a 1-by-1 diagonal block.


               (If IPIV( k ) = k, no interchange was done).


               If IPIV(k) = IPIV(k+1) < 0, then rows and


               columns k+1 and -IPIV(k) were interchanged,


               D(k:k+1,k:k+1) is a 2-by-2 diagonal block.

B

          B is COMPLEX*16 array, dimension (LDB,NRHS)


          On entry, B contains NRHS vectors of length N.


          On exit, B is overwritten with the product A * B.

LDB

          LDB is INTEGER


          The leading dimension of the array B.  LDB >= max(1,N).

INFO

          INFO is INTEGER


          = 0: successful exit


          < 0: if INFO = -k, the k-th argument had an illegal value

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.