Abstract
. The algebra isomorphism between M 4 (R) and HØmega\Gamma , where H is the algebra of
quaternions, has unexpected computational payoff: it helps construct an orthogonal similarity that
2 \Theta 2 block-diagonalizes a 4 \Theta 4 symmetric matrix. Replacing plane rotations with these more powerful
4 \Theta 4 rotations leads to a quaternion-Jacobi method in which the `weight' of 4 elements (in a 2 \Theta 2
block) is transferred all at once onto the diagonal. Quadratic convergence sets in sooner, ...
Users
Please
log in to take part in the discussion (add own reviews or comments).