Geodesic
Constructing two-step iterative methods with and without memory
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 2

Voir la notice de l'article provenant de la source Math-Net.Ru

Some new iterative methods without memory are constructed to reach the optimal convergence order four using only three function evaluations to solve nonlinear equations. Per full cycle, each method from the derived classes is derivative-free. We further extend the derived classes of methods to contribute some schemes with memory, without any additional evaluation of the function. Hence, with a same cost, the contributed methods with memory possess higher $R$-orders and better efficiency indices. In order to attest the efficiency of the obtained methods, we employ numerical comparisons. 
@article{ZVMMF_2015_55_2_a3,
     author = {Taher Lotfi and Katayoun Mahdiani and Parisa Bakhtiari and Fazlollah Soleymani},
     title = {Constructing two-step iterative methods with and without memory},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {193},
     publisher = {mathdoc},
     volume = {55},
     number = {2},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_2_a3/}
}
TY  - JOUR
AU  - Taher Lotfi
AU  - Katayoun Mahdiani
AU  - Parisa Bakhtiari
AU  - Fazlollah Soleymani
TI  - Constructing two-step iterative methods with and without memory
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2015
SP  - 193
VL  - 55
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_2_a3/
LA  - en
ID  - ZVMMF_2015_55_2_a3
ER  - 
%0 Journal Article
%A Taher Lotfi
%A Katayoun Mahdiani
%A Parisa Bakhtiari
%A Fazlollah Soleymani
%T Constructing two-step iterative methods with and without memory
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2015
%P 193
%V 55
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_2_a3/
%G en
%F ZVMMF_2015_55_2_a3
Taher Lotfi; Katayoun Mahdiani; Parisa Bakhtiari; Fazlollah Soleymani. Constructing two-step iterative methods with and without memory. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 2. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_2_a3/