Howland J L
Biophys J. 1969 Nov;9(11):1371-6. doi: 10.1016/S0006-3495(69)86459-3.
The importance of the stability problem for matrices of the special form called mammillary matrices has been noted by Hearon (1). The stability problem may be formulated in terms of the Liapounov matrix equation. A constructive procedure, dependent upon the particular structure of mammillary matrices, for the solution of the Liapounov equation and the subsequent solution of the stability problem is described in this note. For an n x n matrix the principal computational steps are the solution of an n x n linear system and the determination of the rank and signature of an n x n symmetric matrix.
希伦（1）已经指出了对于被称为乳头状矩阵的特殊形式矩阵而言稳定性问题的重要性。稳定性问题可以依据李雅普诺夫矩阵方程来表述。本笔记描述了一种依赖于乳头状矩阵的特定结构的构造性方法，用于求解李雅普诺夫方程以及后续稳定性问题的求解。对于一个(n×n)矩阵，主要的计算步骤是求解一个(n×n)线性系统以及确定一个(n×n)对称矩阵的秩和符号差。
