/**
* <p>
* Computes the 'y' vector and stores the result in 'v'<br>
* <br>
* y = -γ(A + U*V^T + V*U^T)u
* </p>
*
* @param blockLength
* @param A Contains the reflectors and the row being updated.
* @param V Contains previously computed 'v' vectors.
* @param row The row of 'A' that is to be updated.
*/
public static void computeY(int blockLength,
FSubmatrixD1 A,
FSubmatrixD1 V,
int row,
float gamma)
{
// Elements in 'y' before 'row' are known to be zero and the element at 'row'
// is not used. Thus only elements after row and after are computed.
// y = A*u
multA_u(blockLength, A, V, row);
for (int i = 0; i < row; i++)
{
// y = y + u_i*v_i^t*u + v_i*u_i^t*u
// v_i^t*u
float dot_v_u = BlockHouseHolder_FDRB.innerProdRow(blockLength, A, row, V, i, 1);
// u_i^t*u
float dot_u_u = BlockHouseHolder_FDRB.innerProdRow(blockLength, A, row, A, i, 1);
// y = y + u_i*(v_i^t*u)
// the ones in these 'u' are skipped over since the next submatrix of A
// is only updated
VectorOps_FDRB.add_row(blockLength, V, row, 1, A, i, dot_v_u, V, row, row + 1, A.col1 - A.col0);
// y = y + v_i*(u_i^t*u)
// the 1 in U is taken account above
VectorOps_FDRB.add_row(blockLength, V, row, 1, V, i, dot_u_u, V, row, row + 1, A.col1 - A.col0);
}
// y = -gamma*y
VectorOps_FDRB.scale_row(blockLength, V, row, -gamma, V, row, row + 1, V.col1 - V.col0);
}
/**
* Scales the elements in the specified row starting at element colStart by 'val'.<br>
* W = val*Y
*
* Takes in account zeros and leading one automatically.
*
* @param zeroOffset How far off the diagonal is the first element in the vector.
*/
public static void scale_row(int blockLength,
FSubmatrixD1 Y,
FSubmatrixD1 W,
int row,
int zeroOffset,
float val)
{
int offset = row + zeroOffset;
if (offset >= W.col1 - W.col0)
{
return;
}
// handle the one
W.set(row, offset, val);
// scale rest of the vector
VectorOps_FDRB.scale_row(blockLength, Y, row, val, W, row, offset + 1, Y.col1 - Y.col0);
}