论文标题
求解线性汇合系统的新方法，并通过泰勒的扩展与它们相应的矩阵倒数
New approaches for solving linear confluent Vandermonde systems and inverse of their corresponding matrices via Taylor's expansion
论文作者
论文摘要
在本文中，我们提出了一种新的方法，以计算汇合范德曼德矩阵倒数的显式公式。我们提出的结果可能在数学和自然科学领域具有许多有趣的观点，尤其是在Vandermonde矩阵获得了很多有用性的情况下。此处介绍的方法是直接而直接的，它给出了有关此基本主题的大文献中不存在明确和紧凑的公式。提出了几个示例以突出结果。我们的主要工具是一些基本的基本线性代数。
In this paper, we present a novel method to compute an explicit formula for the inverse of the confluent Vandermonde matrices. Our proposed results may have many interesting perspectives in diverse areas of mathematics and natural sciences, notably on the situations where the Vandermonde matrices have acquired much usefulness. The method presented here is direct and straightforward, it gives explicit and compact formulas not exist in the large literature on this essential topic. Several examples are presented to highlight the results. Our main tools are some elementary basic linear algebra.
