man stpcon (Fonctions bibliothèques) - estimate the reciprocal of the condition number of a packed triangular matrix A, in either the 1-norm or the infinity-norm

NAME

STPCON - estimate the reciprocal of the condition number of a packed triangular matrix A, in either the 1-norm or the infinity-norm

SYNOPSIS

SUBROUTINE STPCON(
NORM, UPLO, DIAG, N, AP, RCOND, WORK, IWORK, INFO )
CHARACTER DIAG, NORM, UPLO
INTEGER INFO, N
REAL RCOND
INTEGER IWORK( * )
REAL AP( * ), WORK( * )

PURPOSE

STPCON estimates the reciprocal of the condition number of a packed 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 as

RCOND = 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.
AP (input) REAL 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(i + (j-1)*j/2) = A(i,j) for 1<=i<=j; if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n. If DIAG = 'U', the diagonal elements of A are not referenced and are assumed to be 1.
RCOND (output) REAL
The reciprocal of the condition number of the matrix A, computed as RCOND = 1/(norm(A) * norm(inv(A))).
WORK (workspace) REAL 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