基于Doolitle LU分解的k-七对角矩阵的反演

IF 1 4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-09-20 DOI:10.1007/s11766-022-3763-8

Maryam Shams Solary, Mehran Rasouli

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引用次数: 2

摘要

本文的目的是给出一般非奇异k-七对角矩阵求逆的一种新的数值和符号算法。这项工作是基于矩阵的doolittle LU分解。我们得到了一系列递归关系，并利用它们构造了一个求k-七对角矩阵逆的新算法。计算了算法的计算代价。算例验证了该方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Inverting a k-heptadiagonal matrix based on Doolitle LU factorization

The purpose of the present paper is to show a new numeric and symbolic algorithm for inverting a general nonsingular k-heptadiagonal matrix. This work is based on Doolitle LU factorization of the matrix. We obtain a series of recursive relationships then we use them for constructing a novel algorithm for inverting a k-heptadiagonal matrix. The computational cost of the algorithm is calculated. Some illustrative examples are given to demonstrate the effectiveness of the proposed method.

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来源期刊

Applied Mathematics-A Journal of Chinese Universities Series B MATHEMATICS, APPLIED-

自引率

10.00%

发文量

期刊介绍： Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects. The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry. Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.