An inverse eigenproblem and an associated approximation problem for generalized reflexive and anti-reflexive matrices
نویسندگان
چکیده
منابع مشابه
Minimization Problems for Generalized Reflexive and Generalized Anti-Reflexive Matrices
Let R ∈ Cm×m and S ∈ Cn×n be nontrivial unitary involutions, i.e., R = R = R−1 = ±Im and S = S = S−1 = ±In. A ∈ Cm×n is said to be a generalized reflexive (anti-reflexive) matrix if RAS = A (RAS = −A). Let ρ be the set of m × n generalized reflexive (anti-reflexive) matrices. Given X ∈ Cn×p, Z ∈ Cm×p, Y ∈ Cm×q and W ∈ Cn×q, we characterize the matrices A in ρ that minimize ‖AX−Z‖2+‖Y HA−WH‖2, a...
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Let P, Q ∈ C be two normal {k+1}-potent matrices, i.e., PP ∗ = P P, P k+1 = P , QQ = QQ, Q = Q, k ∈ N. A matrix A ∈ C is referred to as generalized reflexive with two normal {k + 1}-potent matrices P and Q if and only if A = PAQ. The set of all n × n generalized reflexive matrices which rely on the matrices P and Q is denoted by GR(P,Q). The left and right inverse eigenproblem of such matrices ...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2011
ISSN: 0377-0427
DOI: 10.1016/j.cam.2010.12.016