In [2] a new factorization for infinite Hessenberg banded matrices was introduced. In this note we prove that this kind of factorization can also be used for finite matrices. In addition, a new method for solving banded linear systems is provided.

翻译：[2] 在[2]中引入了无穷赫森堡带宽矩阵的新的因子化。在本说明中,我们证明,这种因子化也可以用于限定矩阵。此外,还提供了解决带宽线性系统的新方法。