Graphical illustration of perturbed system of linear equations and computed number of condition via SDV

I. Shaini, Bilall and Jakupi, Arlind and Xhaferi, Gazmend and Rufati, Eip (2018) Graphical illustration of perturbed system of linear equations and computed number of condition via SDV. Journal of Natural Sciences and Mathematics of UT, 3 (5-6). pp. 163-171. ISSN 2671-3039

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Abstract

We observe conditionality as an indicator of the sensitivity of the numerical solution, when it comes to a particular problem, with small changes in input numerical data, i.e. we observe the sensitivity of the solution of the linear system with small changes in the values of the elements of the matrix A and (or) of the vector b. Number of condition indicates a relative change of the system solution when the matrix is perturbed. This number is computed in several ways, and we will determine this by the singular values of matrix (SVD). It is shown that ill-conditioned matrices are "almost singular". The correlation between the number of condition and the numerical rank of a matrix will be illustrated in the examples that are solved and graphically shown using the program package Mathematica.

Item Type:	Article
Subjects:	Q Science > Q Science (General)
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	Unnamed user with email zshi@unite.edu.mk
Date Deposited:	05 Jun 2019 08:34
Last Modified:	05 Jun 2019 08:34
URI:	http://eprints.unite.edu.mk/id/eprint/157

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