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LAPACK 3.11.0
LAPACK: Linear Algebra PACKage
|
| subroutine sppt03 | ( | character | uplo, |
| integer | n, | ||
| real, dimension( * ) | a, | ||
| real, dimension( * ) | ainv, | ||
| real, dimension( ldwork, * ) | work, | ||
| integer | ldwork, | ||
| real, dimension( * ) | rwork, | ||
| real | rcond, | ||
| real | resid | ||
| ) |
SPPT03
SPPT03 computes the residual for a symmetric packed matrix times its
inverse:
norm( I - A*AINV ) / ( N * norm(A) * norm(AINV) * EPS ),
where EPS is the machine epsilon. | [in] | UPLO | UPLO is CHARACTER*1
Specifies whether the upper or lower triangular part of the
symmetric matrix A is stored:
= 'U': Upper triangular
= 'L': Lower triangular |
| [in] | N | N is INTEGER
The number of rows and columns of the matrix A. N >= 0. |
| [in] | A | A is REAL array, dimension (N*(N+1)/2)
The original symmetric matrix A, stored as a packed
triangular matrix. |
| [in] | AINV | AINV is REAL array, dimension (N*(N+1)/2)
The (symmetric) inverse of the matrix A, stored as a packed
triangular matrix. |
| [out] | WORK | WORK is REAL array, dimension (LDWORK,N) |
| [in] | LDWORK | LDWORK is INTEGER
The leading dimension of the array WORK. LDWORK >= max(1,N). |
| [out] | RWORK | RWORK is REAL array, dimension (N) |
| [out] | RCOND | RCOND is REAL
The reciprocal of the condition number of A, computed as
( 1/norm(A) ) / norm(AINV). |
| [out] | RESID | RESID is REAL
norm(I - A*AINV) / ( N * norm(A) * norm(AINV) * EPS ) |