J.Mech.Cont. & Math. Sci., Vol.-6, No.-1, July (2011) Pages 780-796 780 SENSITIVITY AND ACCURACY OF EIGENVALUES RELATIVE TO THEIR PERTURBATION By 1 M. A. Huda, 2 Md. Harun-or-Roshid, 3 A. Islam and 4 Mst. Mumtahinah 1 Institute of Telecommunications, University of Aveiro, 3810-193, Aveiro, Portugal. 2 Department of Math, Pabna Science & Technology Univercity, Pabna, Bangladesh 3 Mathematics Discipline, Khulna University, Khulna-9208, Bangladesh 4 Department of Business Adminstration, IBAIS University Dhanmondi R/A, Dhaka-1209, Bangladesh. Abstract The main objective of this paper is to study the sensitivity of eigenvalues in their computational domain under perturbations, and to provide a solid intuition with some numerical example as well as to represent them in graphically. The sensitivity of eigenvalues, estimated by the condition number of the matrix of eigenvectors has been discussed with some numerical example. Here, we have also demonstrated, other approaches imposing some structures on the complex eigenvalues, how this structure affects the perturbed eigenvalues as well as what kind of paths do they follow in the complex plane. ¢hj§ aÑ p¡l (Bengali version of the Abstract) ¢hQme¡d£e NZe¡ A’m BCNeÚ j¡e (Eigen Value)- Hl p¤ NË ¡¢qa¡L Ae¤ på¡e Ll¡ Hhw ¢LR¥ p¡wMÉ Ec¡qlZl p¡q¡kÉ cª t üš¡L fË c¡e Ll¡ qu Hhw Cq¡L mM¢Qœl p¡q¡kÉ J f¢lhne Ll¡ HC fœl j§ MÉ EŸnÉz nœp§ QL jÉ¡¢VÊ „l BCNe iƒll p¡q¡kÉ BCNe j¡el p¤ NË ¡¢qa¡L NZe¡ Ll¡ quR Hhw ¢LR¥ p¡wMÉ Ec¡qlZl p¡q¡kÉ Bm¡Qe¡ Ll¡ quRz S¢Vm BCNe j¡e ¢LR¥ L¡W¡j¡ Bl¡f Ll AeÉ dlZl A¢iNjel rœ HC L¡W¡j¡ ¢hQ¢ma BCNe j¡e ¢L i¡h fË i¡¢ha Ll Hhw S¢Vm-am L¡e dlZl fb Ae¤ plZ a¡ fË cnÑ e Ll¡ quRz 1. INTRODUCTION : ISSN 0973-8975