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.
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| pure subroutine | ctrevc3 (side, howmny, select, n, t, ldt, vl, ldvl, vr, ldvr, mm, m, work, lwork, rwork, lrwork, info) |
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| | la_ctrevc3 |
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| pure subroutine | dtrevc3 (side, howmny, select, n, t, ldt, vl, ldvl, vr, ldvr, mm, m, work, lwork, info) |
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| | la_dtrevc3 |
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| | la_qtrevc3 |
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| pure subroutine | strevc3 (side, howmny, select, n, t, ldt, vl, ldvl, vr, ldvr, mm, m, work, lwork, info) |
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| | la_strevc3 |
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| | la_wtrevc3 |
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| pure subroutine | ztrevc3 (side, howmny, select, n, t, ldt, vl, ldvl, vr, ldvr, mm, m, work, lwork, rwork, lrwork, info) |
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| | la_ztrevc3 |
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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 |
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character, intent(in) |
side, |
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character, intent(in) |
howmny, |
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logical(lk), dimension(*), intent(in) |
select, |
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integer(ilp), intent(in) |
n, |
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complex(sp), dimension(ldt,*), intent(inout) |
t, |
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integer(ilp), intent(in) |
ldt, |
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complex(sp), dimension(ldvl,*), intent(inout) |
vl, |
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integer(ilp), intent(in) |
ldvl, |
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complex(sp), dimension(ldvr,*), intent(inout) |
vr, |
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integer(ilp), intent(in) |
ldvr, |
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integer(ilp), intent(in) |
mm, |
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integer(ilp), intent(out) |
m, |
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complex(sp), dimension(*), intent(out) |
work, |
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integer(ilp), intent(in) |
lwork, |
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real(sp), dimension(*), intent(out) |
rwork, |
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integer(ilp), intent(in) |
lrwork, |
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integer(ilp), intent(out) |
info |
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◆ dtrevc3()
| pure subroutine la_lapack::trevc3::dtrevc3 |
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character, intent(in) |
side, |
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character, intent(in) |
howmny, |
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logical(lk), dimension(*), intent(inout) |
select, |
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integer(ilp), intent(in) |
n, |
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real(dp), dimension(ldt,*), intent(in) |
t, |
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integer(ilp), intent(in) |
ldt, |
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real(dp), dimension(ldvl,*), intent(inout) |
vl, |
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integer(ilp), intent(in) |
ldvl, |
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real(dp), dimension(ldvr,*), intent(inout) |
vr, |
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integer(ilp), intent(in) |
ldvr, |
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integer(ilp), intent(in) |
mm, |
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integer(ilp), intent(out) |
m, |
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real(dp), dimension(*), intent(out) |
work, |
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integer(ilp), intent(in) |
lwork, |
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integer(ilp), intent(out) |
info |
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◆ 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 |
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character, intent(in) |
side, |
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character, intent(in) |
howmny, |
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logical(lk), dimension(*), intent(inout) |
select, |
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integer(ilp), intent(in) |
n, |
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real(sp), dimension(ldt,*), intent(in) |
t, |
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integer(ilp), intent(in) |
ldt, |
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real(sp), dimension(ldvl,*), intent(inout) |
vl, |
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integer(ilp), intent(in) |
ldvl, |
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real(sp), dimension(ldvr,*), intent(inout) |
vr, |
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integer(ilp), intent(in) |
ldvr, |
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integer(ilp), intent(in) |
mm, |
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integer(ilp), intent(out) |
m, |
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real(sp), dimension(*), intent(out) |
work, |
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integer(ilp), intent(in) |
lwork, |
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integer(ilp), intent(out) |
info |
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◆ ztrevc3()
| pure subroutine la_lapack::trevc3::ztrevc3 |
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character, intent(in) |
side, |
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character, intent(in) |
howmny, |
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logical(lk), dimension(*), intent(in) |
select, |
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integer(ilp), intent(in) |
n, |
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complex(dp), dimension(ldt,*), intent(inout) |
t, |
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integer(ilp), intent(in) |
ldt, |
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complex(dp), dimension(ldvl,*), intent(inout) |
vl, |
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integer(ilp), intent(in) |
ldvl, |
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complex(dp), dimension(ldvr,*), intent(inout) |
vr, |
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integer(ilp), intent(in) |
ldvr, |
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integer(ilp), intent(in) |
mm, |
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integer(ilp), intent(out) |
m, |
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complex(dp), dimension(*), intent(out) |
work, |
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integer(ilp), intent(in) |
lwork, |
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real(dp), dimension(*), intent(out) |
rwork, |
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integer(ilp), intent(in) |
lrwork, |
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integer(ilp), intent(out) |
info |
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The documentation for this interface was generated from the following file:
1.9.8