Abstract :
The basic step is described in a norm-reducing eigenvalue algorithm based on (Frobenius) norm-reducing transformations. For A, Tkj set membership, variant Cn × n, Tkj being a plane nonsingular shear acting on column and row k and j, image can be expressed in terms of the nontrivial elements of X = Z*Z. Here Z s the essential part of the shear Tkj. Solving the problem inf image, det Z ≠ 0, there appear resolvents and structure parameters. These are invariant with respect to unitary shear transformations. This study provides invariant formulas for Paardekooperʹs method, which is based on the solution of the problem inf image, det Z = 1.
