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On the Matrix Equation X^{ - 1} X* = A
Authors:Kh D Ikramov
Institution:(1) M. V. Lomonosov Moscow State University, Russia
Abstract:Solvability conditions are examined for the matrix equation 
$$X^{ - 1} X* = A$$
, which cannot be found in the well-known reference books on matrix theory. Methods for constructing solutions to this equation are indicated.
Keywords:matrix equation  Hermitian matrix  Lyapunov equation  Sylvester equation
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