計算ルーチン: 複素対称行列の逆行列 : (ZSPTRF により既に分解された行列)

ZSPTRI Example Program Data
  4                                                       :Value of N
  'L'                                                     :Value of UPLO
 (-0.39,-0.71)
 ( 5.14,-0.64) ( 8.86, 1.81)
 (-7.86,-2.96) (-3.52, 0.58) (-2.83,-0.03)
 ( 3.80, 0.92) ( 5.32,-1.59) (-1.54,-2.86) (-0.56, 0.12)  :End of matrix A

 ZSPTRI Example Program Results

 Inverse
                    1                 2                 3                 4
 1  (-0.1562,-0.1014)
 2  ( 0.0400, 0.1527) ( 0.0946,-0.1475)
 3  ( 0.0550, 0.0845) (-0.0326,-0.1370) (-0.1320,-0.0102)
 4  ( 0.2162,-0.0742) (-0.0995,-0.0461) (-0.1793, 0.1183) (-0.2269, 0.2383)

    Program zsptri_example

!     ZSPTRI Example Program Text

!     Copyright 2017, Numerical Algorithms Group Ltd. http://www.nag.com

!     .. Use Statements ..
      Use lapack_example_aux, Only: nagf_file_print_matrix_complex_packed_comp
      Use lapack_interfaces, Only: zsptrf, zsptri
      Use lapack_precision, Only: dp
!     .. Implicit None Statement ..
      Implicit None
!     .. Parameters ..
      Integer, Parameter :: nin = 5, nout = 6
!     .. Local Scalars ..
      Integer :: i, ifail, info, j, n
      Character (1) :: uplo
!     .. Local Arrays ..
      Complex (Kind=dp), Allocatable :: ap(:), work(:)
      Integer, Allocatable :: ipiv(:)
      Character (1) :: clabs(1), rlabs(1)
!     .. Executable Statements ..
      Write (nout, *) 'ZSPTRI Example Program Results'
!     Skip heading in data file
      Read (nin, *)
      Read (nin, *) n

      Allocate (ap(n*(n+1)/2), work(n), ipiv(n))

!     Read A from data file

      Read (nin, *) uplo
      If (uplo=='U') Then
        Read (nin, *)((ap(i+j*(j-1)/2),j=i,n), i=1, n)
      Else If (uplo=='L') Then
        Read (nin, *)((ap(i+(2*n-j)*(j-1)/2),j=1,i), i=1, n)
      End If

!     Factorize A
      Call zsptrf(uplo, n, ap, ipiv, info)

      Write (nout, *)
      Flush (nout)
      If (info==0) Then

!       Compute inverse of A
        Call zsptri(uplo, n, ap, ipiv, work, info)

!       Print inverse

!       ifail: behaviour on error exit
!              =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft
        ifail = 0
        Call nagf_file_print_matrix_complex_packed_comp(uplo, 'Nonunit', n, &
          ap, 'Bracketed', 'F7.4', 'Inverse', 'Integer', rlabs, 'Integer', &
          clabs, 80, 0, ifail)

      Else
        Write (nout, *) 'The factor D is singular'
      End If

    End Program