ztpt01.f3
Usage
Functions/Subroutines
subroutine ztpt01 (uplo, diag, n, ap, ainvp, rcond, rwork, resid)
ZTPT01
Function/Subroutine Documentation
subroutine ztpt01 (character uplo, character diag, integer n, complex*16, dimension( * ) ap, complex*16, dimension( * ) ainvp, double precision rcond, double precision, dimension( * ) rwork, double precision resid)
ZTPT01
Purpose:
!> !> ZTPT01 computes the residual for a triangular matrix A times its !> inverse when A is stored in packed format: !> RESID = norm(A*AINV - I) / ( N * norm(A) * norm(AINV) * EPS ), !> where EPS is the machine epsilon. !>
Parameters
UPLO
!> UPLO is CHARACTER*1 !> Specifies whether the matrix A is upper or lower triangular. !> = 'U': Upper triangular !> = 'L': Lower triangular !>
DIAG
!> DIAG is CHARACTER*1 !> Specifies whether or not the matrix A is unit triangular. !> = 'N': Non-unit triangular !> = 'U': Unit triangular !>
N
!> N is INTEGER !> The order of the matrix A. N >= 0. !>
AP
!> AP is COMPLEX*16 array, dimension (N*(N+1)/2) !> The original upper or lower triangular matrix A, packed !> columnwise in a linear array. The j-th column of A is stored !> in the array AP as follows: !> if UPLO = 'U', AP((j-1)*j/2 + i) = A(i,j) for 1<=i<=j; !> if UPLO = 'L', !> AP((j-1)*(n-j) + j*(j+1)/2 + i-j) = A(i,j) for j<=i<=n. !>
AINVP
!> AINVP is COMPLEX*16 array, dimension (N*(N+1)/2) !> On entry, the (triangular) inverse of the matrix A, packed !> columnwise in a linear array as in AP. !> On exit, the contents of AINVP are destroyed. !>
RCOND
!> RCOND is DOUBLE PRECISION !> The reciprocal condition number of A, computed as !> 1/(norm(A) * norm(AINV)). !>
RWORK
!> RWORK is DOUBLE PRECISION array, dimension (N) !>
RESID
!> RESID is DOUBLE PRECISION !> norm(A*AINV - I) / ( N * norm(A) * norm(AINV) * EPS ) !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 108 of file ztpt01.f.