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TESTING/LIN/dtpt06.f(3) LAPACK TESTING/LIN/dtpt06.f(3)

TESTING/LIN/dtpt06.f


subroutine dtpt06 (rcond, rcondc, uplo, diag, n, ap, work, rat)
DTPT06

DTPT06

Purpose:


DTPT06 computes a test ratio comparing RCOND (the reciprocal
condition number of a triangular matrix A) and RCONDC, the estimate
computed by DTPCON. 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 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
DTPCON.

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 DOUBLE PRECISION 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.

WORK


WORK 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 110 of file dtpt06.f.

Generated automatically by Doxygen for LAPACK from the source code.

Sun Jan 12 2025 15:13:34 Version 3.12.1

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