TESTING/LIN/stbt06.f(3) | Library Functions Manual | TESTING/LIN/stbt06.f(3) |
NAME
TESTING/LIN/stbt06.f
SYNOPSIS
Functions/Subroutines
subroutine stbt06 (rcond, rcondc, uplo, diag, n, kd, ab,
ldab, work, rat)
STBT06
Function/Subroutine Documentation
subroutine stbt06 (real rcond, real rcondc, character uplo, character diag, integer n, integer kd, real, dimension( ldab, * ) ab, integer ldab, real, dimension( * ) work, real rat)
STBT06
Purpose:
STBT06 computes a test ratio comparing RCOND (the reciprocal condition number of a triangular matrix A) and RCONDC, the estimate computed by STBCON. 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 STBCON.
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 REAL 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 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 123 of file stbt06.f.
Author
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