ZGTCON estimates the reciprocal of the condition number of a complex


 tridiagonal matrix A using the LU factorization as computed by


 ZGTTRF.


 An estimate is obtained for norm(inv(A)), and the reciprocal of the


 condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).

NORM

          NORM is CHARACTER*1


          Specifies whether the 1-norm condition number or the


          infinity-norm condition number is required:


          = '1' or 'O':  1-norm;


          = 'I':         Infinity-norm.

N

          N is INTEGER


          The order of the matrix A.  N >= 0.

DL

          DL is COMPLEX*16 array, dimension (N-1)


          The (n-1) multipliers that define the matrix L from the


          LU factorization of A as computed by ZGTTRF.

D

          D is COMPLEX*16 array, dimension (N)


          The n diagonal elements of the upper triangular matrix U from


          the LU factorization of A.

DU

          DU is COMPLEX*16 array, dimension (N-1)


          The (n-1) elements of the first superdiagonal of U.

DU2

          DU2 is COMPLEX*16 array, dimension (N-2)


          The (n-2) elements of the second superdiagonal of U.

IPIV

          IPIV is INTEGER array, dimension (N)


          The pivot indices; for 1 <= i <= n, row i of the matrix was


          interchanged with row IPIV(i).  IPIV(i) will always be either


          i or i+1; IPIV(i) = i indicates a row interchange was not


          required.

ANORM

          ANORM is DOUBLE PRECISION


          If NORM = '1' or 'O', the 1-norm of the original matrix A.


          If NORM = 'I', the infinity-norm of the original matrix A.

RCOND

          RCOND is DOUBLE PRECISION


          The reciprocal of the condition number of the matrix A,


          computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an


          estimate of the 1-norm of inv(A) computed in this routine.

WORK

          WORK is COMPLEX*16 array, dimension (2*N)

INFO

          INFO is INTEGER


          = 0:  successful exit


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

Univ. of Tennessee

Univ. of California Berkeley

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NAG Ltd.

September 2012