SSTT22  checks a set of M eigenvalues and eigenvectors,


     A U = U S


 where A is symmetric tridiagonal, the columns of U are orthogonal,


 and S is diagonal (if KBAND=0) or symmetric tridiagonal (if KBAND=1).


 Two tests are performed:


    RESULT(1) = | U' A U - S | / ( |A| m ulp )


    RESULT(2) = | I - U'U | / ( m ulp )

N

          N is INTEGER


          The size of the matrix.  If it is zero, SSTT22 does nothing.


          It must be at least zero.

M

          M is INTEGER


          The number of eigenpairs to check.  If it is zero, SSTT22


          does nothing.  It must be at least zero.

KBAND

          KBAND is INTEGER


          The bandwidth of the matrix S.  It may only be zero or one.


          If zero, then S is diagonal, and SE is not referenced.  If


          one, then S is symmetric tri-diagonal.

AD

          AD is REAL array, dimension (N)


          The diagonal of the original (unfactored) matrix A.  A is


          assumed to be symmetric tridiagonal.

AE

          AE is REAL array, dimension (N)


          The off-diagonal of the original (unfactored) matrix A.  A


          is assumed to be symmetric tridiagonal.  AE(1) is ignored,


          AE(2) is the (1,2) and (2,1) element, etc.

SD

          SD is REAL array, dimension (N)


          The diagonal of the (symmetric tri-) diagonal matrix S.

SE

          SE is REAL array, dimension (N)


          The off-diagonal of the (symmetric tri-) diagonal matrix S.


          Not referenced if KBSND=0.  If KBAND=1, then AE(1) is


          ignored, SE(2) is the (1,2) and (2,1) element, etc.

U

          U is REAL array, dimension (LDU, N)


          The orthogonal matrix in the decomposition.

LDU

          LDU is INTEGER


          The leading dimension of U.  LDU must be at least N.

WORK

          WORK is REAL array, dimension (LDWORK, M+1)

LDWORK

          LDWORK is INTEGER


          The leading dimension of WORK.  LDWORK must be at least


          max(1,M).

RESULT

          RESULT is REAL array, dimension (2)


          The values computed by the two tests described above.  The


          values are currently limited to 1/ulp, to avoid overflow.

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