Iterative Definition and 58 Threads

  1. S

    Non Iterative Modulous Calculation

    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...
  2. N

    Find a Routine to Perform Iterations on Mathematica

    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...
  3. S

    Solving a Trig Problem - is this iterative only?

    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) =...
  4. D

    Solving Kepler's equation using iterative technique

    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...
  5. K

    Newton (iterative) method to solve a diophantine equation

    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
  6. E

    Can a Neumann Series Be Proposed for the Resolvent Kernel in Iterative Methods?

    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...
  7. K

    Numeric precision with iterative matrix rotations

    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...
  8. E

    Can an Iterative Scheme Guarantee Convergence for Solving a Functional Equation?

    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...
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