非负矩阵和广义Fibonacci矩阵谱半径的界

IF 0.8 Q2 MATHEMATICS

Special Matrices Pub Date : 2022-01-01 DOI:10.1515/spma-2022-0165

Maria Adam, Aikaterini Aretaki

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引用次数: 1

摘要

摘要本文确定了非负矩阵谱半径的上界和下界。引入非负矩阵的平均4行和的概念，推广了现有的谱半径界的各种公式。如果矩阵是不可约的，我们还提到了它们的等式情况，并给出了数值例子来进行比较。最后，我们提供了一个特殊矩阵的应用，如广义Fibonacci矩阵，它在应用数学和计算机科学问题中被广泛使用。

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Bounds for the spectral radius of nonnegative matrices and generalized Fibonacci matrices

Abstract In this article, we determine upper and lower bounds for the spectral radius of nonnegative matrices. Introducing the notion of average 4-row sum of a nonnegative matrix, we extend various existing formulas for spectral radius bounds. We also refer to their equality cases if the matrix is irreducible, and we present numerical examples to make comparisons among them. Finally, we provide an application to special matrices such as the generalized Fibonacci matrices, which are widely used in applied mathematics and computer science problems.

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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.