SYNOPSIS
- SUBROUTINE DTRCON(
- NORM, UPLO, DIAG, N, A, LDA, RCOND, WORK, IWORK, INFO )
- CHARACTER DIAG, NORM, UPLO
- INTEGER INFO, LDA, N
- DOUBLE PRECISION RCOND
- INTEGER IWORK( * )
- DOUBLE PRECISION A( LDA, * ), WORK( * )
PURPOSE
DTRCON estimates the reciprocal of the condition number of a triangular matrix A, in either the 1-norm or the infinity-norm. The norm of A is computed and an estimate is obtained for norm(inv(A)), then the reciprocal of the condition number is computed asRCOND = 1 / ( norm(A) * norm(inv(A)) ).
ARGUMENTS
- NORM (input) CHARACTER*1
-
Specifies whether the 1-norm condition number or the
infinity-norm condition number is required:
= '1' or 'O': 1-norm;
= 'I': Infinity-norm. - UPLO (input) CHARACTER*1
-
= 'U': A is upper triangular;
= 'L': A is lower triangular. - DIAG (input) CHARACTER*1
-
= 'N': A is non-unit triangular;
= 'U': A is unit triangular. - N (input) INTEGER
- The order of the matrix A. N >= 0.
- A (input) DOUBLE PRECISION array, dimension (LDA,N)
- The triangular matrix A. If UPLO = 'U', the leading N-by-N upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If UPLO = 'L', the leading N-by-N lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If DIAG = 'U', the diagonal elements of A are also not referenced and are assumed to be 1.
- LDA (input) INTEGER
- The leading dimension of the array A. LDA >= max(1,N).
- RCOND (output) DOUBLE PRECISION
- The reciprocal of the condition number of the matrix A, computed as RCOND = 1/(norm(A) * norm(inv(A))).
- WORK (workspace) DOUBLE PRECISION array, dimension (3*N)
- IWORK (workspace) INTEGER array, dimension (N)
- INFO (output) INTEGER
-
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value