On simultaneous diagonalization of one Hermitian and one symmetric form
1984; Elsevier BV; Volume: 57; Linguagem: Inglês
10.1016/0024-3795(84)90189-7
ISSN1873-1856
AutoresRiccardo Benedetti, P. Cragnolini,
Tópico(s)Advanced Optimization Algorithms Research
ResumoIt 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.
Referência(s)