Artigo Acesso aberto Revisado por pares

On simultaneous diagonalization of one Hermitian and one symmetric form

1984; Elsevier BV; Volume: 57; Linguagem: Inglês

10.1016/0024-3795(84)90189-7

ISSN

1873-1856

Autores

Riccardo Benedetti, P. Cragnolini,

Tópico(s)

Advanced Optimization Algorithms Research

Resumo

It is remarked that if A, B ϵ Mn(C), A = At, and B̄ = Bt, B positive definite, there exists a nonsingular matrix U such that (1) ŪtBU = I and (2) UtAU is a diagonal matrix with nonnegative entries. Some related actions of the real orthogonal group and equations involving the unitary group are studied.

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