TESTING/LIN/ztpt06.f(3) | Library Functions Manual | TESTING/LIN/ztpt06.f(3) |
NAME
TESTING/LIN/ztpt06.f
SYNOPSIS
Functions/Subroutines
subroutine ztpt06 (rcond, rcondc, uplo, diag, n, ap, rwork,
rat)
ZTPT06
Function/Subroutine Documentation
subroutine ztpt06 (double precision rcond, double precision rcondc, character uplo, character diag, integer n, complex*16, dimension( * ) ap, double precision, dimension( * ) rwork, double precision rat)
ZTPT06
Purpose:
ZTPT06 computes a test ratio comparing RCOND (the reciprocal condition number of the triangular matrix A) and RCONDC, the estimate computed by ZTPCON. Information about the triangular matrix 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 DOUBLE PRECISION 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 DOUBLE PRECISION The estimate of the reciprocal condition number computed by ZTPCON.
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.
AP
AP is COMPLEX*16 array, dimension (N*(N+1)/2) The 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.
RWORK
RWORK is DOUBLE PRECISION array, dimension (N)
RAT
RAT is DOUBLE PRECISION 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 111 of file ztpt06.f.
Author
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