table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/dptcon.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/dptcon.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/dptcon.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine DPTCON (n, d, e, anorm, rcond, work, info)
DPTCON
Function/Subroutine Documentation¶
subroutine DPTCON (integer n, double precision, dimension( * ) d, double precision, dimension( * ) e, double precision anorm, double precision rcond, double precision, dimension( * ) work, integer info)¶
DPTCON
Purpose:
!> !> DPTCON computes the reciprocal of the condition number (in the !> 1-norm) of a real symmetric positive definite tridiagonal matrix !> using the factorization A = L*D*L**T or A = U**T*D*U computed by !> DPTTRF. !> !> Norm(inv(A)) is computed by a direct method, and the reciprocal of !> the condition number is computed as !> RCOND = 1 / (ANORM * norm(inv(A))). !>
Parameters
N
!> N is INTEGER !> The order of the matrix A. N >= 0. !>
D
!> D is DOUBLE PRECISION array, dimension (N) !> The n diagonal elements of the diagonal matrix D from the !> factorization of A, as computed by DPTTRF. !>
E
!> E is DOUBLE PRECISION array, dimension (N-1) !> The (n-1) off-diagonal elements of the unit bidiagonal factor !> U or L from the factorization of A, as computed by DPTTRF. !>
ANORM
!> ANORM is DOUBLE PRECISION !> The 1-norm of the original matrix A. !>
RCOND
!> RCOND is DOUBLE PRECISION !> The reciprocal of the condition number of the matrix A, !> computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is the !> 1-norm of inv(A) computed in this routine. !>
WORK
!> WORK is DOUBLE PRECISION array, dimension (N) !>
INFO
!> INFO is INTEGER !> = 0: successful exit !> < 0: if INFO = -i, the i-th argument had an illegal value !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Further Details:
!> !> The method used is described in Nicholas J. Higham, , SIAM J. Sci. Stat. Comput., Vol. 7, No. 1, January 1986. !>
Definition at line 117 of file dptcon.f.
Author¶
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