-
called "internal
iteration"
because its code
fully executes within the
context of the
iterable object (that
controls all
aspects of
iteration), and the programmer...
- may
rewrite the
Newton iteration as the fixed-point
iteration x
n + 1 = g ( x
n ) {\textstyle x_{
n+1}=g(x_{
n})} . If this
iteration converges to a fixed...
-
topological conjugacy is
preserved under iteration, as gn = h−1 ○ f
n ○ h. Thus, if one can
solve for one
iterated function system, one also has solutions...
- that the
iteration matrix is
given by C = I − M − 1 A = M − 1
N . {\displaystyle C=I-M^{-1}A=M^{-1}
N\,.}
Basic examples of
stationary iterative methods...
- Av=\lambda v} . The
algorithm is also
known as the Von
Mises iteration.
Power iteration is a very
simple algorithm, but it may
converge slowly. The most...
- each
iteration a new
triangle is
added on each side of the
previous iteration, so the
number of new
triangles added in
iteration n {\displaystyle
n} is:...
-
Newton iteration. For example, if f(x) = x2 − 1, then the
Newton iteration is
defined by x
n + 1 = x
n − f ( x
n ) f ′ ( x
n ) = x
n 2 − 1 2 x
n . {\displaystyle...
- of each
iteration the
black height of
N equals the
iteration number minus one,
which means that in the
first iteration it is zero and that
N is a true...
- In
numerical analysis,
inverse iteration (also
known as the
inverse power method) is an
iterative eigenvalue algorithm. It
allows one to find an approximate...
-
numerical linear algebra, the
Arnoldi iteration is an
eigenvalue algorithm and an
important example of an
iterative method.
Arnoldi finds an approximation...