Iteration is the repetition of a process in order to generate an outcome. The sequence will approach some end point or end value. Each repetition of the process is a single iteration, and the outcome of each iteration is then the starting point of the next iteration.
In mathematics and computer science, iteration (along with the related technique of recursion) is a standard element of algorithms.
hello,
I'm interested in non-iteratative modulous calculation. As in, I would like to calculate the number of steps one has to take to reach the desired answer without an iterative set of calculations of any kind
(i.e. not
a+b+ b+b+b+b+b = answer
or
a+b = answer? - nope...
Hi all,
I am wondering if anyone knows of a routine to perform iterations on a computer which is both efficient and easy to implement in Mathematica. I basically have a single input, a, and a single output, b, which is computed through a black-box piece of code. I wish to create some kind...
Homework Statement
Find when this is "0" for the first time:
q(t) = e^{-20t} (5cos(40t) + \frac{5} {2} sin(40t))
Homework Equations
The Attempt at a Solution
0 = e^{-20t} (5cos(40t) + \frac{5} {2}sin(40t))
0 = (5cos(40t) + \frac{5} {2}sin(40t))
cos(40t) =...
I am working on using a Runge Kutta 4th order code (in the C programming language) to predict a Keplerian orbit in 2 dimensions. My code seems to be working ok, producing a reasonable elliptical orbit given initial conditions x0, y0, Vx0 and Vy0 (initial position and velocity), however I'd like...
My question is..how could we use Newton method (or other iterative method ) to solve:
Nx^2 -y^2=1 ?? :confused: :confused:
The main problem i see is that the equation before could have some "non-integer" solutions note that (1) can be put in the form:
\sqrt(Nx^2 -1)=y :grumpy:
let be the integral equation:
f(x)=\lambda \int_{0}^{1}dyK(x,y)f(y)
where the Kernel is known and "lambada" is an small eigenvalue... the question is if i want to solve i propose the iterative scheme:
f_{n+1} (x)=\lambda \int_{0}^{1}dyK(x,y)f_n(y)
My question is if in this case i...
I couldn't find a forum section on numerical analysis, so I'm writing this here.
I'm on the lookout for simple matrix rotation/multiplication methods that can overcome the precision problems associated with poorly conditioned matrices.
In my case I'm trying to simulate the rotational...
let be the equation f(g(t))=g(t) where f is known but g(t) not... i think that perhaps we could solve it by iteration so g(t) would be
g(t)=fofofofofofofo... where fof means the composition of f with itself...is that solution right? i do not even konw if my process to solve the functional...