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L-structured matrices and linear matrix equations<sup>โˆ—</sup>

L-structured matrices and linear matrix equations<sup>โˆ—</sup>

Abstract Conditions for the existence of solutions, and the general solution of linear matrix equations are given, when it is known a priori that the solution matrix has a given structure (e.g. symmetric, triangular, diagonal). This theory is subsequently extended to matrix equations that are linear in several unknown 'structured' โ€ฆ