5 papers
On the Right Eigenvalues of the Quaternionic Matrix Polynomials
Ovaisa Jan, Idrees Qasim
This paper establishes new upper bounds for the right eigenvalues of monic matrix polynomials over the quaternion division algebra. The noncommutative nature of quaternion multipli…
Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods
Ovaisa Jan, Idrees Qasim, Nusrat Ahmed Dar
In this paper, we derive new bounds for the zeros of quaternionic polynomials by applying localization theorems, which includes Gershgorin-type theorems for the left eigenvalues of…
Bounds for the Zeros of Polynomials over Quaternion Division Algebra
Ovaisa Jan, Idrees Qasim
Locating the zeros of quaternionic polynomials is a fundamental problem with significant implications across scientific and engineering disciplines, yet the noncommutative nature o…
Generalizations of Enestrom-Kakeya Type Theorems for matrix Polynomials
Idrees Qasim
In this paper, we establish bounds for the eigenvalues of matrix polynomials. Specifically, we find different generalizations of the Enestrom-Kakeya Theorem for matrix polynomials.
Generalization of Cauchy type theorems for matrix Polynomials
Idrees Qasim
In this paper, we find bounds for the eigenvalues of matrix polynomials. In particular, we find generalizations of Cauchy's classical Theorem for distribution of eigenvalues of mat…