dtbt06.f - Man Page
TESTING/LIN/dtbt06.f
Synopsis
Functions/Subroutines
subroutine dtbt06 (rcond, rcondc, uplo, diag, n, kd, ab, ldab, work, rat)
DTBT06
Function/Subroutine Documentation
subroutine dtbt06 (double precision rcond, double precision rcondc, character uplo, character diag, integer n, integer kd, double precision, dimension( ldab, * ) ab, integer ldab, double precision, dimension( * ) work, double precision rat)
DTBT06
Purpose:
DTBT06 computes a test ratio comparing RCOND (the reciprocal condition number of a triangular matrix A) and RCONDC, the estimate computed by DTBCON. 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 DTBCON.
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 DOUBLE PRECISION 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.
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 123 of file dtbt06.f.
Author
Generated automatically by Doxygen for LAPACK from the source code.
Referenced By
The man page dtbt06(3) is an alias of dtbt06.f(3).
Tue Nov 28 2023 12:08:43 Version 3.12.0 LAPACK