Article overview
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 numberGershgorin theoremeigenvaluecompanion matrixzeropolynomial.
AMS Subject Classification
Primary 11R52, 15A18, 15A42 Secondary 15B33, 30C15.
Reference information
How to Cite
Tanchar Molla (2025). ON THE BICOMPLEX VERSION OF GERSHGORIN CIRCLE THEOREM AND BOUNDS FOR ZEROS OF BICOMPLEX POLYNOMIALS. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 12(2), 59-70.