Questions tagged [iteration]
The iteration tag has no usage guidance.
35
questions
0
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1answer
34 views
Solution of two step Iterative integral equation [on hold]
How to write the code for the following iterative integral equation?
$x_0=4-3s$
$ y_n=x_n+0.5\left(\int\limits_ 0^s t(1-s)[x_n''(t)-(3/2)(x_n(t))^2]dt+\int\limits_ s^1 s(1-t)[x_n''(t)-(3/2)(x_n(...
0
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0answers
22 views
Solving two step Iterative integral equation [on hold]
Anyone please clear that, what is wrong with the code mentioned in the image?
0
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1answer
30 views
Reading and re-assigning variable
I am trying to create a table by iteratively calculating its values using a temporary variable accu:
...
1
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2answers
120 views
1
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2answers
35 views
Apply NestList to Iteratively Calculate Gradient (Gradient Descent)
I'm attempting to calculate the gradient of a function defined by two variables.
After following a tutorial I found, I have the following code:
...
1
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0answers
31 views
Need help with understanding a question concerning the power iteration method [closed]
I just need help understanding a question. I was given the question
Use the power iteration method to estimate the spectral radius for (I - B A) given a tridiagonal coefficient matrix.
Although,...
1
vote
1answer
55 views
0
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1answer
50 views
Solving a system of linear equations with a For-loop [closed]
I need to find the value of c1, c2, c3, c4 and c5, but the output from my code is the simplified equations, not the exact value ...
0
votes
0answers
43 views
Iterating over a list and defining the range accordingly
I have the following list,
l = {{"a", "b"}, {"a", "b"}, {"c", "d"}, {"e", "f"}, {"e", "f"},
{"x", "y", "z"}, {"m", "n", "o"}, {"p", "q", "s"}};
for each ...
0
votes
2answers
78 views
In an iterative process, how does one simply bypass a step producing an error? [closed]
This is undoubtedly rather elementary, but the remedy escapes me presently (and does not, as far as I can see, readily appear in Help).
I'm engaged in an iterative process with several computations ...
0
votes
1answer
103 views
Plotting Data Iteratively
I have a function of x1 that I can plot in the form y=f(x1). However, I have a relation y=f(x1)=f(x2), where I don't know the form of f(x2), but I can solve for x2 given f(x1) and I want to plot both ...
1
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2answers
73 views
0
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2answers
177 views
solve the iterative integral equatio [duplicate]
The following code is incorrect, please specify my mistakes
...
0
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1answer
60 views
Solve integral equation by iteration
For[{n = 1, y[0][x_] = 1}, n < 4, n++,
y[n][x_] = 1 + Integrate[y[n - 1][t]^2 + t^2, {t, 0, x}];
Print[{n, y[n][t]}]]
here how can I get table of values ...
7
votes
2answers
389 views
How can I iterate this process?
a = RandomVariate[UniformDistribution[{0, 1}]];
b = RandomVariate[UniformDistribution[{0, 1}]];
c = RandomVariate[UniformDistribution[{0, 1}]];
a + a b + a b c
...
2
votes
1answer
73 views
Question about iteration [closed]
I have the following expression:
sol1 =
(11 + 3*δ - 11*θ + 4*m*θ - 3*δ*θ - 8*Sqrt[(-(2 + δ))*(-1 + θ)*(1 - θ + m*θ)])/(4 + 4*δ)
I want to plug numbers into $ \...
1
vote
2answers
147 views
FixedPoint doesn't work
Do you know why it doesn't print any result?I set intial value is 0.1,
h[x_] = Sin[x];
(*Plot[{x,h[x]},{x,1,50}]*)
FixedPoint[h[#] &, 0.1];
6
votes
2answers
123 views
How to iteratively build a list?
I have the following c++ code that I want to translate to Mathematica.
...
0
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0answers
39 views
How to save a all matrices renewed in each iteration?
I have a (n by m) matrix , in which the elements are recalculated and replaced by new ones in each iteration. (In other words I have a loop in which the elements of the mentioned matrix are being ...
0
votes
1answer
92 views
How can I create loop for this iteration integration [closed]
I have definite integral of the form
$$f(x)=\int_{-\pi}^\pi\frac{x^2-1}{(x^2-1)^2+x^2+y^2+f(x)}dxdy$$
I want to make a code to calculate $f(x)$ numerically, starting from $f(x)=0$ and stopping when ...
5
votes
3answers
231 views
Iterate over deepest values in a nested Association
Is it possible to iterate over the values of the deepest layer of keys in a nested association? For example:
...
4
votes
2answers
128 views
How do we optimise double Tables?
I have made the following code which I shall explain it in two parts:
First Part:
...
0
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0answers
38 views
Function iteration
I wrote a function in Mathematica that applies certain construction steps on the "incidence matrix" of a graph in order to obtain a new graph with certain properties. These construction steps can be ...
3
votes
2answers
120 views
Efficient way to iterate over large list and check conditions
The problem I am trying to solve is how to assign charges to a number of particles based on some conditions on the charges. It is conceptually very simple but requires processing a very large list. ...
1
vote
1answer
79 views
Iterating of piecewise function
I have this piecewise function
$$
f(x)=\begin{cases}
x(1.5-0.5x) \quad\text{if $x\le0.5$},\\
x(0.5+0.5x) \quad\text{if $x>0.5$}.
\end{cases}
$$
How can I calculate iterated functions for it?
0
votes
1answer
85 views
How to create a list of undefined functions?
I have a undefined function $\phi[i,j]$ where $i=0,1,...,m$ and $i=0,1,...,n$.
How can I generate this list:
{$\phi[0,0],\phi[1,0],...,\phi[m,0],\phi[0,1],\phi[1,1],...\phi[m,1],\phi[0,2],...,\phi[m,...
2
votes
1answer
113 views
Solving for the recursion relation for the expansion coefficients of the asymptotic expansion of an ODE
I want to solve for the asymptotic solution of the following differential equation
$$ \left(y^2+1\right) R''(y)+y\left(2-p \left(b_{0} \sqrt{y^2+1}\right)^{-p}\right) R'(y)-l (l+1) R(y)=0$$
as $y\...
-1
votes
1answer
59 views
Is there a way to get values from a set of functions with circular dependencies? [closed]
I am using the following code to find iteratively the functions $\Sigma(r)$, $h(r)$ and $T(r)$
...
0
votes
1answer
104 views
How to use a test function correctly to terminate a While loop?
I define a test function in order to stop my While loop:
...
0
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0answers
93 views
How can I make my code containing a For loop more Mathematica-style?
I know there are a lot of questions on this site regarding the use of For loops and how to avoid them in Mathematica. However, in my case I believe it is justified,...
3
votes
3answers
562 views
Iteration on a matrix
I want to update "matrix1" 100 times. "matrix3" will be new "matrix1" and it will iterate 100 times. Should I use a loop or function? First iteration is:
...
3
votes
2answers
91 views
Working Iterative formula for a system of equations
I have been given a project, I need to show the use of a version of Newton's method to solve these non-linear equations. The version of Newton's method I am required to use is: $ X_{n+1} = X_n - J^{(-...
1
vote
0answers
97 views
Question about approximate squaring iteration [closed]
the iteration map $x*\left\lceil x \right\rceil$, where the initial term is a non integer rational number $b/a$ with $b>a$ and $a>1$. the growth rate of this iteration is similar to the growth ...
0
votes
1answer
23 views
Table of convolutes
Inputs
Start with a vector $x\in\mathbb{R}^{n}$, and a vector-valued function $f:\mathbb{R}^{n}\mapsto\mathbb{R}^{n}$.
Output
Given some $k\in\mathbb{Z}^{+}$, what are elegant ways to produce the ...
8
votes
2answers
740 views
Simple Fractal square
I am working on a math question about infinite series, and one of the question images is below.
Each new white square has an area that is 1/4 of the previous square.
Always looking to learn elegant ...
