CLARF applies a complex elementary reflector H to a complex M-by-N


 matrix C, from either the left or the right. H is represented in the


 form


       H = I - tau * v * v**H


 where tau is a complex scalar and v is a complex vector.


 If tau = 0, then H is taken to be the unit matrix.


 To apply H**H (the conjugate transpose of H), supply conjg(tau) instead


 tau.

SIDE

          SIDE is CHARACTER*1


          = 'L': form  H * C


          = 'R': form  C * H

M

          M is INTEGER


          The number of rows of the matrix C.

N

          N is INTEGER


          The number of columns of the matrix C.

V

          V is COMPLEX array, dimension


                     (1 + (M-1)*abs(INCV)) if SIDE = 'L'


                  or (1 + (N-1)*abs(INCV)) if SIDE = 'R'


          The vector v in the representation of H. V is not used if


          TAU = 0.

INCV

          INCV is INTEGER


          The increment between elements of v. INCV <> 0.

TAU

          TAU is COMPLEX


          The value tau in the representation of H.

C

          C is COMPLEX array, dimension (LDC,N)


          On entry, the M-by-N matrix C.


          On exit, C is overwritten by the matrix H * C if SIDE = 'L',


          or C * H if SIDE = 'R'.

LDC

          LDC is INTEGER


          The leading dimension of the array C. LDC >= max(1,M).

WORK

          WORK is COMPLEX array, dimension


                         (N) if SIDE = 'L'


                      or (M) if SIDE = 'R'

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 DLARF applies a real elementary reflector H to a real m by n matrix


 C, from either the left or the right. H is represented in the form


       H = I - tau * v * v**T


 where tau is a real scalar and v is a real vector.


 If tau = 0, then H is taken to be the unit matrix.

SIDE

          SIDE is CHARACTER*1


          = 'L': form  H * C


          = 'R': form  C * H

M

          M is INTEGER


          The number of rows of the matrix C.

N

          N is INTEGER


          The number of columns of the matrix C.

V

          V is DOUBLE PRECISION array, dimension


                     (1 + (M-1)*abs(INCV)) if SIDE = 'L'


                  or (1 + (N-1)*abs(INCV)) if SIDE = 'R'


          The vector v in the representation of H. V is not used if


          TAU = 0.

INCV

          INCV is INTEGER


          The increment between elements of v. INCV <> 0.

TAU

          TAU is DOUBLE PRECISION


          The value tau in the representation of H.

C

          C is DOUBLE PRECISION array, dimension (LDC,N)


          On entry, the m by n matrix C.


          On exit, C is overwritten by the matrix H * C if SIDE = 'L',


          or C * H if SIDE = 'R'.

LDC

          LDC is INTEGER


          The leading dimension of the array C. LDC >= max(1,M).

WORK

          WORK is DOUBLE PRECISION array, dimension


                         (N) if SIDE = 'L'


                      or (M) if SIDE = 'R'

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 SLARF applies a real elementary reflector H to a real m by n matrix


 C, from either the left or the right. H is represented in the form


       H = I - tau * v * v**T


 where tau is a real scalar and v is a real vector.


 If tau = 0, then H is taken to be the unit matrix.

SIDE

          SIDE is CHARACTER*1


          = 'L': form  H * C


          = 'R': form  C * H

M

          M is INTEGER


          The number of rows of the matrix C.

N

          N is INTEGER


          The number of columns of the matrix C.

V

          V is REAL array, dimension


                     (1 + (M-1)*abs(INCV)) if SIDE = 'L'


                  or (1 + (N-1)*abs(INCV)) if SIDE = 'R'


          The vector v in the representation of H. V is not used if


          TAU = 0.

INCV

          INCV is INTEGER


          The increment between elements of v. INCV <> 0.

TAU

          TAU is REAL


          The value tau in the representation of H.

C

          C is REAL array, dimension (LDC,N)


          On entry, the m by n matrix C.


          On exit, C is overwritten by the matrix H * C if SIDE = 'L',


          or C * H if SIDE = 'R'.

LDC

          LDC is INTEGER


          The leading dimension of the array C. LDC >= max(1,M).

WORK

          WORK is REAL array, dimension


                         (N) if SIDE = 'L'


                      or (M) if SIDE = 'R'

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 ZLARF applies a complex elementary reflector H to a complex M-by-N


 matrix C, from either the left or the right. H is represented in the


 form


       H = I - tau * v * v**H


 where tau is a complex scalar and v is a complex vector.


 If tau = 0, then H is taken to be the unit matrix.


 To apply H**H, supply conjg(tau) instead


 tau.

SIDE

          SIDE is CHARACTER*1


          = 'L': form  H * C


          = 'R': form  C * H

M

          M is INTEGER


          The number of rows of the matrix C.

N

          N is INTEGER


          The number of columns of the matrix C.

V

          V is COMPLEX*16 array, dimension


                     (1 + (M-1)*abs(INCV)) if SIDE = 'L'


                  or (1 + (N-1)*abs(INCV)) if SIDE = 'R'


          The vector v in the representation of H. V is not used if


          TAU = 0.

INCV

          INCV is INTEGER


          The increment between elements of v. INCV <> 0.

TAU

          TAU is COMPLEX*16


          The value tau in the representation of H.

C

          C is COMPLEX*16 array, dimension (LDC,N)


          On entry, the M-by-N matrix C.


          On exit, C is overwritten by the matrix H * C if SIDE = 'L',


          or C * H if SIDE = 'R'.

LDC

          LDC is INTEGER


          The leading dimension of the array C. LDC >= max(1,M).

WORK

          WORK is COMPLEX*16 array, dimension


                         (N) if SIDE = 'L'


                      or (M) if SIDE = 'R'

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NAG Ltd.