LASR: applies a sequence of real plane rotations to a complex matrix A, from either the left or the right. When SIDE = 'L', the transformation takes the form A := P*A and when SIDE = 'R', the transformation takes the form A := A*P**T where P is an orthogonal matrix consisting of a sequence of z plane rotations, with z = M when SIDE = 'L' and z = N when SIDE = 'R', and P**T is the transpose of P. When DIRECT = 'F' (Forward sequence), then P = P(z-1) * ... * P(2) * P(1) and when DIRECT = 'B' (Backward sequence), then P = P(1) * P(2) * ... * P(z-1) where P(k) is a plane rotation matrix defined by the 2-by-2 rotation R(k) = ( c(k) s(k) ) = ( -s(k) c(k) ). When PIVOT = 'V' (Variable pivot), the rotation is performed for the plane (k,k+1), i.e., P(k) has the form P(k) = ( 1 ) ( ... ) ( 1 ) ( c(k) s(k) ) ( -s(k) c(k) ) ( 1 ) ( ... ) ( 1 ) where R(k) appears as a rank-2 modification to the identity matrix in rows and columns k and k+1. When PIVOT = 'T' (Top pivot), the rotation is performed for the plane (1,k+1), so P(k) has the form P(k) = ( c(k) s(k) ) ( 1 ) ( ... ) ( 1 ) ( -s(k) c(k) ) ( 1 ) ( ... ) ( 1 ) where R(k) appears in rows and columns 1 and k+1. Similarly, when PIVOT = 'B' (Bottom pivot), the rotation is performed for the plane (k,z), giving P(k) the form P(k) = ( 1 ) ( ... ) ( 1 ) ( c(k) s(k) ) ( 1 ) ( ... ) ( 1 ) ( -s(k) c(k) ) where R(k) appears in rows and columns k and z. The rotations are performed without ever forming P(k) explicitly.
More...
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| pure subroutine | clasr (side, pivot, direct, m, n, c, s, a, lda) |
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| | la_clasr |
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| pure subroutine | dlasr (side, pivot, direct, m, n, c, s, a, lda) |
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| | la_dlasr |
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| | la_qlasr |
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| pure subroutine | slasr (side, pivot, direct, m, n, c, s, a, lda) |
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| | la_slasr |
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| | la_wlasr |
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| pure subroutine | zlasr (side, pivot, direct, m, n, c, s, a, lda) |
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| | la_zlasr |
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LASR: applies a sequence of real plane rotations to a complex matrix A, from either the left or the right. When SIDE = 'L', the transformation takes the form A := P*A and when SIDE = 'R', the transformation takes the form A := A*P**T where P is an orthogonal matrix consisting of a sequence of z plane rotations, with z = M when SIDE = 'L' and z = N when SIDE = 'R', and P**T is the transpose of P. When DIRECT = 'F' (Forward sequence), then P = P(z-1) * ... * P(2) * P(1) and when DIRECT = 'B' (Backward sequence), then P = P(1) * P(2) * ... * P(z-1) where P(k) is a plane rotation matrix defined by the 2-by-2 rotation R(k) = ( c(k) s(k) ) = ( -s(k) c(k) ). When PIVOT = 'V' (Variable pivot), the rotation is performed for the plane (k,k+1), i.e., P(k) has the form P(k) = ( 1 ) ( ... ) ( 1 ) ( c(k) s(k) ) ( -s(k) c(k) ) ( 1 ) ( ... ) ( 1 ) where R(k) appears as a rank-2 modification to the identity matrix in rows and columns k and k+1. When PIVOT = 'T' (Top pivot), the rotation is performed for the plane (1,k+1), so P(k) has the form P(k) = ( c(k) s(k) ) ( 1 ) ( ... ) ( 1 ) ( -s(k) c(k) ) ( 1 ) ( ... ) ( 1 ) where R(k) appears in rows and columns 1 and k+1. Similarly, when PIVOT = 'B' (Bottom pivot), the rotation is performed for the plane (k,z), giving P(k) the form P(k) = ( 1 ) ( ... ) ( 1 ) ( c(k) s(k) ) ( 1 ) ( ... ) ( 1 ) ( -s(k) c(k) ) where R(k) appears in rows and columns k and z. The rotations are performed without ever forming P(k) explicitly.
◆ clasr()
| pure subroutine la_lapack::lasr::clasr |
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character, intent(in) |
side, |
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character, intent(in) |
pivot, |
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character, intent(in) |
direct, |
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integer(ilp), intent(in) |
m, |
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integer(ilp), intent(in) |
n, |
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real(sp), dimension(*), intent(in) |
c, |
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real(sp), dimension(*), intent(in) |
s, |
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complex(sp), dimension(lda,*), intent(inout) |
a, |
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integer(ilp), intent(in) |
lda |
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◆ dlasr()
| pure subroutine la_lapack::lasr::dlasr |
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character, intent(in) |
side, |
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character, intent(in) |
pivot, |
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character, intent(in) |
direct, |
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integer(ilp), intent(in) |
m, |
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integer(ilp), intent(in) |
n, |
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real(dp), dimension(*), intent(in) |
c, |
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real(dp), dimension(*), intent(in) |
s, |
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real(dp), dimension(lda,*), intent(inout) |
a, |
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integer(ilp), intent(in) |
lda |
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◆ la_clasr()
| la_lapack::lasr::la_clasr |
◆ la_dlasr()
| la_lapack::lasr::la_dlasr |
◆ la_qlasr()
| la_lapack::lasr::la_qlasr |
◆ la_slasr()
| la_lapack::lasr::la_slasr |
◆ la_wlasr()
| la_lapack::lasr::la_wlasr |
◆ la_zlasr()
| la_lapack::lasr::la_zlasr |
◆ slasr()
| pure subroutine la_lapack::lasr::slasr |
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character, intent(in) |
side, |
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character, intent(in) |
pivot, |
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character, intent(in) |
direct, |
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integer(ilp), intent(in) |
m, |
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integer(ilp), intent(in) |
n, |
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real(sp), dimension(*), intent(in) |
c, |
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real(sp), dimension(*), intent(in) |
s, |
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real(sp), dimension(lda,*), intent(inout) |
a, |
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integer(ilp), intent(in) |
lda |
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) |
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◆ zlasr()
| pure subroutine la_lapack::lasr::zlasr |
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character, intent(in) |
side, |
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character, intent(in) |
pivot, |
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character, intent(in) |
direct, |
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integer(ilp), intent(in) |
m, |
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integer(ilp), intent(in) |
n, |
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real(dp), dimension(*), intent(in) |
c, |
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real(dp), dimension(*), intent(in) |
s, |
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complex(dp), dimension(lda,*), intent(inout) |
a, |
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integer(ilp), intent(in) |
lda |
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The documentation for this interface was generated from the following file:
1.9.8