LAR2V - 5.2 English - 68552

LAR2V applies a vector of plane rotations with real cosines and real

sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices.

Purpose:

 LAR2V applies a vector of real plane rotations from both sides to
 a sequence of 2-by-2 real symmetric matrices, defined by the elements
 of the vectors x, y and z. For i = 1,2,...,n

 (x(i)  z(i)) := ( c(i)  s(i)) (x(i)  z(i)) (c(i) -s(i))
 (z(i)  y(i))    (-s(i)  c(i)) (z(i)  y(i)) (s(i)  c(i))

Parameters:

• N – [in]

  N is INTEGER

  The number of plane rotations to be applied.

• X – [inout]

  X is REAL array, dimension (1+(N-1)*INCX)

  The vector x.

• Y – [inout]

  Y is REAL array, dimension (1+(N-1)*INCX)

  The vector y.

• Z – [inout]

  Z is REAL array, dimension (1+(N-1)*INCX)

  The vector z.

• INCX – [in]

  INCX is INTEGER

  The increment between elements of X, Y and Z. INCX > 0.

• C – [in]

  C is REAL array, dimension (1+(N-1)*INCC)

  The cosines of the plane rotations.

• S – [in]

  S is REAL array, dimension (1+(N-1)*INCC)

  The sines of the plane rotations.

• INCC – [in]

  INCC is INTEGER

  The increment between elements of C and S. INCC > 0.