Matrices with Prescribed Principal Elements and Singular Values
Graciano Neves de Oliveira · Canadian Mathematical Bulletin · 1971
We shall be concerned with the following problem. Let a11, …, ann be complex numbers and λ1, …, λn nonnegative real numbers. Under what conditions does there exist an n × n complex matrix A with a11, …, ann as principal elements and λ1, …, λn as singular values? This problem has been suggested in [3] but, to our knowledge, has not yet been solved.