一类基于二项式系数的对称和非对称带矩阵

IF 0.8 Q2 MATHEMATICS

Special Matrices Pub Date : 2021-01-01 DOI:10.1515/spma-2020-0142

Omojola Micheal, E. Kılıç

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引用次数: 0

摘要

1972年，通过二项式系数研究了带宽为2r+1的对称矩阵类。本文考虑具有二项式系数的非对称矩阵类，其中r+s+1是带宽，r是较低带宽，s是较高带宽。给出了逆、行列式和逆的范数无穷大的主要结果。二项式系数用于推导结果。

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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A class of symmetric and non-symmetric band matrices via binomial coefficients

Abstract Symmetric matrix classes of bandwidth 2r + 1 was studied in 1972 through binomial coefficients. In this paper, non-symmetric matrix classes with the binomial coefficients are considered where r + s + 1 is the bandwidth, r is the lower bandwidth and s is the upper bandwidth. Main results for inverse, determinants and norm-infinity of inverse are presented. The binomial coefficients are used for the derivation of results.

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来源期刊

Special Matrices MATHEMATICS-

CiteScore

1.10

自引率

20.00%

发文量

审稿时长

8 weeks

期刊介绍： Special Matrices publishes original articles of wide significance and originality in all areas of research involving structured matrices present in various branches of pure and applied mathematics and their noteworthy applications in physics, engineering, and other sciences. Special Matrices provides a hub for all researchers working across structured matrices to present their discoveries, and to be a forum for the discussion of the important issues in this vibrant area of matrix theory. Special Matrices brings together in one place major contributions to structured matrices and their applications. All the manuscripts are considered by originality, scientific importance and interest to a general mathematical audience. The journal also provides secure archiving by De Gruyter and the independent archiving service Portico.