计算Pascal矩阵加数量矩阵之逆的一种新方法

数学季刊 ›› 2011, Vol. 26 ›› Issue (3): 378-382.

计算Pascal矩阵加数量矩阵之逆的一种新方法

School of Sciences, Lanzhou University of Technology

收稿日期:2008-03-03 出版日期:2011-09-30 发布日期:2023-04-19
作者简介: YANG Sheng-liang(1963-), male, native of Pingliang, Gansu, a professor of Lanzhou University of Technology, M.S.D., engages in algebraic combinatorics.
基金资助:
Supported by the Natural Science Foundation of Gansu Province(1010RJZA049)；

A New Approach for Inverting the Pascal Matrix Plus a Scalar

School of Sciences, Lanzhou University of Technology

Received:2008-03-03 Online:2011-09-30 Published:2023-04-19
About author: YANG Sheng-liang(1963-), male, native of Pingliang, Gansu, a professor of Lanzhou University of Technology, M.S.D., engages in algebraic combinatorics.
Supported by:
Supported by the Natural Science Foundation of Gansu Province(1010RJZA049)；

摘要/Abstract

摘要： In this paper, using the Jordan canonical form of the Pascal matrix P_n, we present a new approach for inverting the Pascal matrix plus a scalar P_n+aI_n for arbitrary real number a≠1.

关键词: Pascal matrix, Stirling number, Stirling matrix, Jordan canonical form

Abstract: In this paper, using the Jordan canonical form of the Pascal matrix P_n, we present a new approach for inverting the Pascal matrix plus a scalar P_n+aI_n for arbitrary real number a≠1.

Key words: Pascal matrix, Stirling number, Stirling matrix, Jordan canonical form

中图分类号:

O151.21

杨胜良, 马成业. 计算Pascal矩阵加数量矩阵之逆的一种新方法[J]. 数学季刊, 2011, 26(3): 378-382.

YANG Sheng-liang, MA Cheng-ye. A New Approach for Inverting the Pascal Matrix Plus a Scalar[J]. Chinese Quarterly Journal of Mathematics, 2011, 26(3): 378-382.

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