TY  - JOUR
ID  - Soleymani2013
LB  - Soleymani2013
AU  - Soleymani, Fazlollah
TI  - A new method for solving ill-conditioned linear systems
ST  - A new method for solving ill-conditioned linear systems
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2013
VL  - 33
IS  - 2
SP  - 337
EP  - 344
DO  - http://dx.doi.org/10.7494/OpMath.2013.33.2.337
UR  - http://dx.doi.org/10.7494/OpMath.2013.33.2.337
AB  - An accurate numerical method is established for matrix inversion. It is shown theoretically that the scheme possesses the high order of convergence of seven. Subsequently, the method is taken into account for solving linear systems of equations. The accuracy of the contributed iterative method is clarified on solving numerical examples when the coefficient matrices are ill-conditioned. All of the computations are performed on a PC using several programs written in Mathematica 7.
KW  - matrix inversion
KW  - linear systems
KW  - Hilbert matrix
KW  - ill-conditioned
KW  - approximate inverse
SN  - 1232-9274
ER  -