Statistical Convergence of Matrix Sequences and Eigenvalue Influences

Prasenjit Bal; Bikram Sutradhar; Gourab Pal

doi:10.36753/mathenot.1675353

EN

Statistical Convergence of Matrix Sequences and Eigenvalue Influences

Abstract

This paper delves into the statistical convergence of sequences of square matrices with entries in the real or complex domain. Matrix sequence convergence is traditionally examined through two distinct lenses: element-wise convergence and norm convergence. We explore both paradigms, unraveling their interconnections through illustrative examples. Furthermore, we shed light on the intrinsic nature of matrix sequence convergence, emphasizing its intricate dependence on the eigenvalues of the matrices involved.

Keywords

Matrix sequence, Statistical convergence, eigenvalue

References

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Details

Primary Language

English

Subjects

Approximation Theory and Asymptotic Methods

Journal Section

Research Article

Authors

Prasenjit Bal ^*
0000-0001-5047-7390
India

Bikram Sutradhar
0009-0005-7277-822X
India

Gourab Pal
0009-0008-7148-7940
India

Early Pub Date

June 21, 2025

Publication Date

June 26, 2025

Submission Date

April 13, 2025

Acceptance Date

June 15, 2025

Published in Issue

Year 2025 Volume: 13 Number: 2

DOI

https://doi.org/10.36753/mathenot.1675353

IZ

https://izlik.org/JA36KZ88UM

APA

Bal, P., Sutradhar, B., & Pal, G. (2025). Statistical Convergence of Matrix Sequences and Eigenvalue Influences. Mathematical Sciences and Applications E-Notes, 13(2), 106-115. https://doi.org/10.36753/mathenot.1675353

AMA

1.Bal P, Sutradhar B, Pal G. Statistical Convergence of Matrix Sequences and Eigenvalue Influences. Math. Sci. Appl. E-Notes. 2025;13(2):106-115. doi:10.36753/mathenot.1675353

Chicago

Bal, Prasenjit, Bikram Sutradhar, and Gourab Pal. 2025. “Statistical Convergence of Matrix Sequences and Eigenvalue Influences”. Mathematical Sciences and Applications E-Notes 13 (2): 106-15. https://doi.org/10.36753/mathenot.1675353.

EndNote

Bal P, Sutradhar B, Pal G (June 1, 2025) Statistical Convergence of Matrix Sequences and Eigenvalue Influences. Mathematical Sciences and Applications E-Notes 13 2 106–115.

IEEE

[1]P. Bal, B. Sutradhar, and G. Pal, “Statistical Convergence of Matrix Sequences and Eigenvalue Influences”, Math. Sci. Appl. E-Notes, vol. 13, no. 2, pp. 106–115, June 2025, doi: 10.36753/mathenot.1675353.

ISNAD

Bal, Prasenjit - Sutradhar, Bikram - Pal, Gourab. “Statistical Convergence of Matrix Sequences and Eigenvalue Influences”. Mathematical Sciences and Applications E-Notes 13/2 (June 1, 2025): 106-115. https://doi.org/10.36753/mathenot.1675353.

JAMA

1.Bal P, Sutradhar B, Pal G. Statistical Convergence of Matrix Sequences and Eigenvalue Influences. Math. Sci. Appl. E-Notes. 2025;13:106–115.

MLA

Bal, Prasenjit, et al. “Statistical Convergence of Matrix Sequences and Eigenvalue Influences”. Mathematical Sciences and Applications E-Notes, vol. 13, no. 2, June 2025, pp. 106-15, doi:10.36753/mathenot.1675353.

Vancouver

1.Prasenjit Bal, Bikram Sutradhar, Gourab Pal. Statistical Convergence of Matrix Sequences and Eigenvalue Influences. Math. Sci. Appl. E-Notes. 2025 Jun. 1;13(2):106-15. doi:10.36753/mathenot.1675353