ctbt06.f3
Usage
Functions/Subroutines
subroutine ctbt06 (rcond, rcondc, uplo, diag, n, kd, ab, ldab, rwork, rat)
CTBT06
Function/Subroutine Documentation
subroutine ctbt06 (real rcond, real rcondc, character uplo, character diag, integer n, integer kd, complex, dimension( ldab, * ) ab, integer ldab, real, dimension( * ) rwork, real rat)
CTBT06
Purpose:
!> !> CTBT06 computes a test ratio comparing RCOND (the reciprocal !> condition number of a triangular matrix A) and RCONDC, the estimate !> computed by CTBCON. Information about the triangular matrix A is !> used if one estimate is zero and the other is non-zero to decide if !> underflow in the estimate is justified. !>
Parameters
RCOND
!> RCOND is REAL !> The estimate of the reciprocal condition number obtained by !> forming the explicit inverse of the matrix A and computing !> RCOND = 1/( norm(A) * norm(inv(A)) ). !>
RCONDC
!> RCONDC is REAL !> The estimate of the reciprocal condition number computed by !> CTBCON. !>
UPLO
!> UPLO is CHARACTER !> Specifies whether the matrix A is upper or lower triangular. !> = 'U': Upper triangular !> = 'L': Lower triangular !>
DIAG
!> DIAG is CHARACTER !> 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. !>
KD
!> KD is INTEGER !> The number of superdiagonals or subdiagonals of the !> triangular band matrix A. KD >= 0. !>
AB
!> AB is COMPLEX array, dimension (LDAB,N) !> The upper or lower triangular band matrix A, stored in the !> first kd+1 rows of the array. The j-th column of A is stored !> in the j-th column of the array AB as follows: !> if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j; !> if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+kd). !>
LDAB
!> LDAB is INTEGER !> The leading dimension of the array AB. LDAB >= KD+1. !>
RWORK
!> RWORK is REAL array, dimension (N) !>
RAT
!> RAT is REAL !> The test ratio. If both RCOND and RCONDC are nonzero, !> RAT = MAX( RCOND, RCONDC )/MIN( RCOND, RCONDC ) - 1. !> If RAT = 0, the two estimates are exactly the same. !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 124 of file ctbt06.f.