Мақола

Some New Localization Results for Eigenvalues of Complex Matrices

M. RehmanDepartment of Mathematics and Informatics , Al-Khwarizmi University , Urgench , 220100 , UzbekistanRiffat AmnaDepartment of Mathematics , Government College Women University Faisalabad , Faisalabad , 38000 , PakistanSaima AkramDepartment of Mathematics , Government College Women University Faisalabad , Faisalabad , 38000 , PakistanT. H. RasulovBukhara State University , Bukhara , UzbekistanN. H. MamatovaBukhara State University , Bukhara , UzbekistanJ.Sh. OstonovB.Z. GafurovBukhara State Medical Institute named after Abu Ali ibn Sino , Bukhara , UzbekistanM.H. BoboqulovaCenter of Research and Innovation , Asia International University , Yangiobod MFY , G'ijduvon Street , House 74 , Bukhara , Uzbekistan

2026

ABI

Аннотация

The localization of spectrum of complex-valued matrices is a foundational tool in matrix analysis and applied mathematics which offers a concise and computable descriptions on the location of spectrum in the complex plane. Many effective localization bounds, for instance, Gorgerin-type regions, and pseudo-spectrum allows to study and analyze the stability, sensitivity to perturbations, and spectral separation without full eigenvalue computation. In this paper, we present some new results on the localization of the spectrum of complex-valued matrices. Our approach is based on collection of various tools from matrix theory and numerical linear algebra. We have used MATLAB to demonstrate the localization of spectrum contained in the Gershgorin disks in the complex plane.

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DOI: 10.28924/2291-8639-24-2026-222

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