ON THE BICOMPLEX VERSION OF GERSHGORIN CIRCLE THEOREM AND BOUNDS FOR ZEROS OF BICOMPLEX POLYNOMIALS

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 7

Volume : 12 , Issue : 2
DOI: https://doi.org/10.56827/JRSMMS.2025.1202.4
Author :
Tanchar Molla (Department of Mathematics, Dumkal College, Basantapur, Dumkal, Murshidabad - 742406, West Bengal, INDIA)

Abstract

This paper develops a bicomplex Gershgorin circle theorem for locating eigenvalues of \( n\times n\) bicomplex matrices and applies it to derive classical bounds for zeros of bicomplex monic polynomials.

Keywords and Phrases

Bicomplex number, Gershgorin theorem, eigenvalue, companion matrix, zero, polynomial.

A.M.S. subject classification

Primary 11R52, 15A18, 15A42 Secondary 15B33, 30C15.

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