Program f07pnfe
! F07PNF Example Program Text
! Mark 29.3 Release. NAG Copyright 2023.
! .. Use Statements ..
Use nag_library, Only: nag_wp, x04ddf, zhpsv
! .. Implicit None Statement ..
Implicit None
! .. Parameters ..
Integer, Parameter :: nin = 5, nout = 6
Character (1), Parameter :: uplo = 'U'
! .. Local Scalars ..
Integer :: i, ifail, info, j, n
! .. Local Arrays ..
Complex (Kind=nag_wp), Allocatable :: ap(:), b(:)
Integer, Allocatable :: ipiv(:)
Character (1) :: clabs(1), rlabs(1)
! .. Executable Statements ..
Write (nout,*) 'F07PNF Example Program Results'
Write (nout,*)
! Skip heading in data file
Read (nin,*)
Read (nin,*) n
Allocate (ap((n*(n+1))/2),b(n),ipiv(n))
! Read the upper or lower triangular part of the matrix A from
! data file
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
! Read b from data file
Read (nin,*) b(1:n)
! Solve the equations Ax = b for x
! The NAG name equivalent of zhpsv is f07pnf
Call zhpsv(uplo,n,1,ap,ipiv,b,n,info)
If (info==0) Then
! Print solution
Write (nout,*) 'Solution'
Write (nout,99999) b(1:n)
! Print details of factorization
Write (nout,*)
Flush (nout)
! ifail: behaviour on error exit
! =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft
ifail = 0
Call x04ddf(uplo,'Non-unit diagonal',n,ap,'Bracketed','F7.4', &
'Details of factorization','Integer',rlabs,'Integer',clabs,80,0, &
ifail)
! Print pivot indices
Write (nout,*)
Write (nout,*) 'Pivot indices'
Write (nout,99998) ipiv(1:n)
Else
Write (nout,99997) 'The diagonal block ', info, ' of D is zero'
End If
99999 Format ((3X,4(' (',F7.4,',',F7.4,')',:)))
99998 Format (1X,7I11)
99997 Format (1X,A,I3,A)
End Program f07pnfe