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Questions tagged [iteration]

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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(...
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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?
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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

How can I solve iteratively for $\Sigma(r)$, T(r) and h(r)?

My naive attempt: ...
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,...
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
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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
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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
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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

How to iteratively (or most efficiently) create such list?

Update A very crude attemp ...
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
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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
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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
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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
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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
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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
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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: ...
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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 ...