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

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.

Authors

Publication Details

Journal
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES
Published
2025-06-30
DOI
https://doi.org/10.56827/jrsmms.2025.1202.4
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Tanchar Molla
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES
Algebraic and Geometric Analysis
article

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

Tanchar Molla
article en

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.

JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCESVol. 12(2)
Openalex Percentile: Top 68%
Algebraic and Geometric Analysis
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ON THE BICOMPLEX VERSION OF GERSHGORIN CIRCLE THEOREM AND BOUNDS FOR ZEROS OF BICOMPLEX POLYNOMIALS — Tanchar Molla · JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES (2025) | TGRS Research Map | TGRS