TREVC3: computes some or all of the right and/or left eigenvectors of a complex upper triangular matrix T. Matrices of this type are produced by the Schur factorization of a complex general matrix: A = Q*T*Q**H, as computed by CHSEQR. The right eigenvector x and the left eigenvector y of T corresponding to an eigenvalue w are defined by: T*x = w*x, (y**H)*T = w*(y**H) where y**H denotes the conjugate transpose of the vector y. The eigenvalues are not input to this routine, but are read directly from the diagonal of T. This routine returns the matrices X and/or Y of right and left eigenvectors of T, or the products Q*X and/or Q*Y, where Q is an input matrix. If Q is the unitary factor that reduces a matrix A to Schur form T, then Q*X and Q*Y are the matrices of right and left eigenvectors of A. This uses a Level 3 BLAS version of the back transformation.
More...
|
| pure subroutine | ctrevc3 (side, howmny, select, n, t, ldt, vl, ldvl, vr, ldvr, mm, m, work, lwork, rwork, lrwork, info) |
| |
| | la_ctrevc3 |
| |
| pure subroutine | dtrevc3 (side, howmny, select, n, t, ldt, vl, ldvl, vr, ldvr, mm, m, work, lwork, info) |
| |
| | la_dtrevc3 |
| |
| | la_qtrevc3 |
| |
| pure subroutine | strevc3 (side, howmny, select, n, t, ldt, vl, ldvl, vr, ldvr, mm, m, work, lwork, info) |
| |
| | la_strevc3 |
| |
| | la_wtrevc3 |
| |
| pure subroutine | ztrevc3 (side, howmny, select, n, t, ldt, vl, ldvl, vr, ldvr, mm, m, work, lwork, rwork, lrwork, info) |
| |
| | la_ztrevc3 |
| |
TREVC3: computes some or all of the right and/or left eigenvectors of a complex upper triangular matrix T. Matrices of this type are produced by the Schur factorization of a complex general matrix: A = Q*T*Q**H, as computed by CHSEQR. The right eigenvector x and the left eigenvector y of T corresponding to an eigenvalue w are defined by: T*x = w*x, (y**H)*T = w*(y**H) where y**H denotes the conjugate transpose of the vector y. The eigenvalues are not input to this routine, but are read directly from the diagonal of T. This routine returns the matrices X and/or Y of right and left eigenvectors of T, or the products Q*X and/or Q*Y, where Q is an input matrix. If Q is the unitary factor that reduces a matrix A to Schur form T, then Q*X and Q*Y are the matrices of right and left eigenvectors of A. This uses a Level 3 BLAS version of the back transformation.
◆ ctrevc3()
| pure subroutine la_lapack::trevc3::ctrevc3 |
( |
character, intent(in) | side, |
|
|
character, intent(in) | howmny, |
|
|
logical(lk), dimension(*), intent(in) | select, |
|
|
integer(ilp), intent(in) | n, |
|
|
complex(sp), dimension(ldt,*), intent(inout) | t, |
|
|
integer(ilp), intent(in) | ldt, |
|
|
complex(sp), dimension(ldvl,*), intent(inout) | vl, |
|
|
integer(ilp), intent(in) | ldvl, |
|
|
complex(sp), dimension(ldvr,*), intent(inout) | vr, |
|
|
integer(ilp), intent(in) | ldvr, |
|
|
integer(ilp), intent(in) | mm, |
|
|
integer(ilp), intent(out) | m, |
|
|
complex(sp), dimension(*), intent(out) | work, |
|
|
integer(ilp), intent(in) | lwork, |
|
|
real(sp), dimension(*), intent(out) | rwork, |
|
|
integer(ilp), intent(in) | lrwork, |
|
|
integer(ilp), intent(out) | info ) |
◆ dtrevc3()
| pure subroutine la_lapack::trevc3::dtrevc3 |
( |
character, intent(in) | side, |
|
|
character, intent(in) | howmny, |
|
|
logical(lk), dimension(*), intent(inout) | select, |
|
|
integer(ilp), intent(in) | n, |
|
|
real(dp), dimension(ldt,*), intent(in) | t, |
|
|
integer(ilp), intent(in) | ldt, |
|
|
real(dp), dimension(ldvl,*), intent(inout) | vl, |
|
|
integer(ilp), intent(in) | ldvl, |
|
|
real(dp), dimension(ldvr,*), intent(inout) | vr, |
|
|
integer(ilp), intent(in) | ldvr, |
|
|
integer(ilp), intent(in) | mm, |
|
|
integer(ilp), intent(out) | m, |
|
|
real(dp), dimension(*), intent(out) | work, |
|
|
integer(ilp), intent(in) | lwork, |
|
|
integer(ilp), intent(out) | info ) |
◆ la_ctrevc3()
| la_lapack::trevc3::la_ctrevc3 |
◆ la_dtrevc3()
| la_lapack::trevc3::la_dtrevc3 |
◆ la_qtrevc3()
| la_lapack::trevc3::la_qtrevc3 |
◆ la_strevc3()
| la_lapack::trevc3::la_strevc3 |
◆ la_wtrevc3()
| la_lapack::trevc3::la_wtrevc3 |
◆ la_ztrevc3()
| la_lapack::trevc3::la_ztrevc3 |
◆ strevc3()
| pure subroutine la_lapack::trevc3::strevc3 |
( |
character, intent(in) | side, |
|
|
character, intent(in) | howmny, |
|
|
logical(lk), dimension(*), intent(inout) | select, |
|
|
integer(ilp), intent(in) | n, |
|
|
real(sp), dimension(ldt,*), intent(in) | t, |
|
|
integer(ilp), intent(in) | ldt, |
|
|
real(sp), dimension(ldvl,*), intent(inout) | vl, |
|
|
integer(ilp), intent(in) | ldvl, |
|
|
real(sp), dimension(ldvr,*), intent(inout) | vr, |
|
|
integer(ilp), intent(in) | ldvr, |
|
|
integer(ilp), intent(in) | mm, |
|
|
integer(ilp), intent(out) | m, |
|
|
real(sp), dimension(*), intent(out) | work, |
|
|
integer(ilp), intent(in) | lwork, |
|
|
integer(ilp), intent(out) | info ) |
◆ ztrevc3()
| pure subroutine la_lapack::trevc3::ztrevc3 |
( |
character, intent(in) | side, |
|
|
character, intent(in) | howmny, |
|
|
logical(lk), dimension(*), intent(in) | select, |
|
|
integer(ilp), intent(in) | n, |
|
|
complex(dp), dimension(ldt,*), intent(inout) | t, |
|
|
integer(ilp), intent(in) | ldt, |
|
|
complex(dp), dimension(ldvl,*), intent(inout) | vl, |
|
|
integer(ilp), intent(in) | ldvl, |
|
|
complex(dp), dimension(ldvr,*), intent(inout) | vr, |
|
|
integer(ilp), intent(in) | ldvr, |
|
|
integer(ilp), intent(in) | mm, |
|
|
integer(ilp), intent(out) | m, |
|
|
complex(dp), dimension(*), intent(out) | work, |
|
|
integer(ilp), intent(in) | lwork, |
|
|
real(dp), dimension(*), intent(out) | rwork, |
|
|
integer(ilp), intent(in) | lrwork, |
|
|
integer(ilp), intent(out) | info ) |
The documentation for this interface was generated from the following file:
