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LAPACK
3.7.0
LAPACK: Linear Algebra PACKage
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subroutine ssteqr | ( | character | COMPZ, |
integer | N, | ||
real, dimension( * ) | D, | ||
real, dimension( * ) | E, | ||
real, dimension( ldz, * ) | Z, | ||
integer | LDZ, | ||
real, dimension( * ) | WORK, | ||
integer | INFO | ||
) |
SSTEQR
Download SSTEQR + dependencies [TGZ] [ZIP] [TXT]
SSTEQR computes all eigenvalues and, optionally, eigenvectors of a symmetric tridiagonal matrix using the implicit QL or QR method. The eigenvectors of a full or band symmetric matrix can also be found if SSYTRD or SSPTRD or SSBTRD has been used to reduce this matrix to tridiagonal form.
[in] | COMPZ | COMPZ is CHARACTER*1 = 'N': Compute eigenvalues only. = 'V': Compute eigenvalues and eigenvectors of the original symmetric matrix. On entry, Z must contain the orthogonal matrix used to reduce the original matrix to tridiagonal form. = 'I': Compute eigenvalues and eigenvectors of the tridiagonal matrix. Z is initialized to the identity matrix. |
[in] | N | N is INTEGER The order of the matrix. N >= 0. |
[in,out] | D | D is REAL array, dimension (N) On entry, the diagonal elements of the tridiagonal matrix. On exit, if INFO = 0, the eigenvalues in ascending order. |
[in,out] | E | E is REAL array, dimension (N-1) On entry, the (n-1) subdiagonal elements of the tridiagonal matrix. On exit, E has been destroyed. |
[in,out] | Z | Z is REAL array, dimension (LDZ, N) On entry, if COMPZ = 'V', then Z contains the orthogonal matrix used in the reduction to tridiagonal form. On exit, if INFO = 0, then if COMPZ = 'V', Z contains the orthonormal eigenvectors of the original symmetric matrix, and if COMPZ = 'I', Z contains the orthonormal eigenvectors of the symmetric tridiagonal matrix. If COMPZ = 'N', then Z is not referenced. |
[in] | LDZ | LDZ is INTEGER The leading dimension of the array Z. LDZ >= 1, and if eigenvectors are desired, then LDZ >= max(1,N). |
[out] | WORK | WORK is REAL array, dimension (max(1,2*N-2)) If COMPZ = 'N', then WORK is not referenced. |
[out] | INFO | INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value > 0: the algorithm has failed to find all the eigenvalues in a total of 30*N iterations; if INFO = i, then i elements of E have not converged to zero; on exit, D and E contain the elements of a symmetric tridiagonal matrix which is orthogonally similar to the original matrix. |
Definition at line 133 of file ssteqr.f.