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LAPACK 3.11.0
LAPACK: Linear Algebra PACKage
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subroutine cspt03 | ( | character | uplo, |
integer | n, | ||
complex, dimension( * ) | a, | ||
complex, dimension( * ) | ainv, | ||
complex, dimension( ldw, * ) | work, | ||
integer | ldw, | ||
real, dimension( * ) | rwork, | ||
real | rcond, | ||
real | resid | ||
) |
CSPT03
CSPT03 computes the residual for a complex 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 complex 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 COMPLEX array, dimension (N*(N+1)/2) The original complex symmetric matrix A, stored as a packed triangular matrix. |
[in] | AINV | AINV is COMPLEX array, dimension (N*(N+1)/2) The (symmetric) inverse of the matrix A, stored as a packed triangular matrix. |
[out] | WORK | WORK is COMPLEX array, dimension (LDW,N) |
[in] | LDW | LDW is INTEGER The leading dimension of the array WORK. LDW >= 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 ) |