Numerical examples in the investigation of a particular matrix in eigenvector theory.
Albert N. Yost · Calhoun: The Naval Postgraduate School Institutional Archive (Naval Postgraduate School) · 1965
For every orthonormal matrix X there exists a skew-symmetric matrix N such that X = (I N)(I+N)⁻¹ , provided that (I+N)¹ exists. A matrix K, similar to N, can be defined for biorthonormal matrices U and V such that U = (I-K)(I+K)⁻¹, provided that (I+K)⁻¹ exists. Numerical methods are presented for examination of the properties of K. The particular property anticipated for K, that it exhibit n(n-l) basic parameters inherent in biorthonormal matrices, is not apparent in the numerical examples derived.