3 Orthogonal Vectors and Matrices - Kent State University

than straightforward computation of the matrix-vector product; see Exercise 3.6. Moreover, the entries of H do not have to be stored, only the vector u and scalar ρ. The savings in arithmetic operations and storage is important for large problems. Exercise 3.2 Let w = [1,2,3]T. Determine the Householder matrix that maps wto a multiple of e1 ...

  Vector, Matrices, Computation, Orthogonal, 3 orthogonal vectors and matrices