Solution of matrix equations via algebraic transformations

P. Szczepaniak
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Abstract

An algebraic result useful in the computational solution of sets of algebraic matrix equations is derived. An important advantage of the method is that the solution of only one equation is sufficient to determine the solutions of all matrix equations of the class considered without these equations having to be solved directly. An application example from the area of system theory is presented.<>
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通过代数变换求解矩阵方程
导出了一个用于求解代数矩阵方程组的代数结果。该方法的一个重要优点是,只需一个方程的解就足以确定所考虑的所有矩阵方程的解,而不必直接求解这些方程。给出了系统理论领域的一个应用实例。
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