id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-554	Abbas, S.Ab. M.	Discuss of Error Analysis of Gauss-Jordan Elimination For Linear Algebraic Systems	2017	10	.pdf	application/pdf	3913	157	58	The size of the possible residuals can be assessed by means of the residual stability constants ψj, for Jordan solutions n, ,… 2, 1, =i,0≠ix of upper triangular linear systems the upper bound R R m R m D j R j j T T ηρ ρψ − ≤= 1 , j= 1, 2, …, n,whewe ρm R is the maximal relative rounding condition number of the solution vector, ηR rounding aceurauy [4]. The main results of the paper are optimal componentwise error and residual estimates, bounds for the stability of solutions and residuals, and upper bound for the errors of the solutions of Jordan elimination and Gauss-Jordan elimination in terms of the optimal error bounds for back substitution and Gaussian elimination respectively.	cache/iajs-554.pdf	txt/iajs-554.txt