Analysis of Algorithms for Reflections in Bisectors
Beresford Ν. Parlett · SIAM Review · 1971
Given a vector x there are two vectors u such that $(I - \theta uu^ * )x$ is a multiple of $(1,0, \ldots ,0)^ * $ , $\theta = 2(u^ * u)^{ - 1} $ We discuss the determination of $\theta $ and u in finite precision and analyze some algorithms for either choice of u in order to illustrate the role of error analysis in the design of numerical techniques.