On matrix equations X ± A ∗ X − 2 A = I
نویسندگان
چکیده
The two matrix equations X + A∗X−2A = I and X −A∗X−2A = I are studied. We construct iterative methods for obtaining positive definite solutions of these equations. Sufficient conditions for the existence of two different solutions of the equation X + A∗X−2A = I are derived. Sufficient conditions for the existence of positive definite solutions of the equation X − A∗X−2A = I are given. Numerical experiments are discussed. © 2001 Elsevier Science Inc. All rights reserved. AMS classification: 65F10
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