A new expression for solving homogeneous linear ODEs based on a generalization of the Volterra composition was recently introduced. In this work, we extend such an expression, showing that it corresponds to inverting an infinite matrix. This is done by studying a particular subring and connecting it with a subalgebra of infinite matrices.

翻译：最近引入了基于Volterra构成的概括化解决同质线性极值的新表达式。 在此工作中, 我们扩展了这个表达式, 显示它相当于反向一个无限矩阵。 这是通过研究一个特定的子集并将其与一个无限矩阵子代数连接来完成的 。