Abstract:
In this project an iterative method of the fourth order for solving nonlinear equations of
the form
0)( =xf
is discussed. The comparison with other existing methods is
performed regarding the computational efficiency and numerical examples. The fourthorder
derivative
free
method
for
the
simultaneous
calculation
of
all
polynomial
zeros,
arising
from
the
proposed
method,
is
also
studied.
This
project
is
dedicated
on
the
fourth
order
root
finding
methods
of
Euler’s
type.
We
have
used
Matlab
program
with
its
high
precision
compatibility
and
we
have
presented
three
examples
tests
to
confirm
the
theoretical
results.
The
results
show
that
Euler
fourth
order
iterative
method
is
converging
faster
than
Newton
iterative
method.
