The inverse tag has no wiki summary.
16
votes
3answers
1k views
How to symbolically do matrix “Block Inversion”?
Consider a block (partitioned) matrix
matrix = ArrayFlatten[{{a, b}, {c, d}}]
where, a, ...
7
votes
2answers
733 views
Inverse of a complicated function
Mathematica is struggling to find the inverse of this function f(r):
...
7
votes
2answers
509 views
How to invert an integral equation
There have been numerous times when I've needed to invert an integral equation, i.e. I have something like
$$f(x) = g_1(x)\int_{0}^x g_2(x') dx'$$
for arbitrary functions $g_1$ and $g_2$, and ...
3
votes
5answers
209 views
Plotting the solutions to a transcendental equation
I am trying, to no avail, to use Mathematica to produce a plot in (x, y)-space of the solutions to the equation
Cos[Sqrt[y]] + Sin[Sqrt[y]]/Sqrt[y] == Cos[x]
...
3
votes
3answers
276 views
How can I solve Tan[t] - t == F[x] for t as a function of x?
How can I solve the equation Tan[t] - t = Ax, where A is a constant for t[x]?
I know that ...
3
votes
2answers
1k views
How to convert a system of parametric equations to a normal equation?
For example, I have a system of parametric equations (R is a constant number) :
...
3
votes
1answer
141 views
How to get the determinant and inverse of a large sparse symmetric matrix?
For example, the following is a $12\times 12$ symmetric matrix. Det and Inverse take too much time and don't even work on my ...
3
votes
3answers
328 views
Changing variables algebraically
Suppose one has two functions, $y(x)$ and $z(x)$, and one seeks to obtain $y(z)$ by substituting $x(z)$ into $y(x)$. Can this be done in a single step? Or must $z(x)$ first be inverted independently? ...
3
votes
1answer
234 views
Efficient method for inverting a block tridiagonal matrix
Is there a better method to invert a large block tridiagonal Hermitian block matrix, other than treating it as a ordinary matrix?
For example:
...
3
votes
0answers
85 views
InverseFunction on an Interpolating Function is misbehaving
I am getting strange behavior when I try to calculate the inverse of an interpolating function for two similar data sets.
My data sets are:
...
2
votes
1answer
554 views
Mathematica Can't Evaluate This?
I am trying to find the inverse function of $\frac{\ln{x}}{x^2}$ in Mathematica. I am using the Solve[] function to find the inverse (yes, I know about ...
2
votes
1answer
214 views
1
vote
1answer
89 views
Prandtl-Meyer function
I'm trying to solve for Mach number based on the given Prandtl-Meyer function, however I keep getting odd error.
Here is my code:
...
1
vote
0answers
59 views
integral of inverse distribution function [closed]
Can Mathematica solve the following problem?
The parameter of interests is $\alpha$. Let $G(y)$ be the distribution function of $y$. (e.g. $G$ is a lognormal distribution function with given ...
1
vote
0answers
108 views
Automatic inverse for Lambert’s Azimuthal Equal-Area Projection
I’m interested in finding closed-form inverses for map projection equations in general (of course, this is not always possible). I’m hoping Mathematica can help me with some of the trickier ones.
As ...
