Tagged Questions
0
votes
0answers
65 views
Solving Over-Determined Homogeneous Linear Equations with Constraints
I'm trying to numerically "solve" a homogeneous equation of the form $$A \vec{x}=0$$ where $A$ is 2n x 9 ($n\geq3$) and x is a 9D column vector composed of three 3D column vectors stacked on top of ...
2
votes
1answer
53 views
Numerical Analysis using MATLAB. Find the condition number $\mu$
Find the condition number $\mu = |A||A^{-1}|$ for the Hilbert Matrix $A$ using the uniform form.
$A = \left( \begin{array}{cccc}
1 &\frac{1}{2} & \frac{1}{3} &\frac{1}{4} \\
\frac{1}{2} ...
2
votes
1answer
277 views
Matlab Matrix Multiplication Calculate Significant Figures
First off, long time reader, first time poster. Thanks in advanced for all the
help this site has offered!
So the question!
I have two matrices in the form of the variables ...
4
votes
1answer
161 views
How do I numerically calculate a function from its noisy gradient using “global integration”?
I have the model $\ s(x,y)=x^2+y^2, 0 \leq x \leq 1, 0 \leq y \leq 1 $.
Instead of observing the model directly I am observing the derivatives of the model + some noise (e):
$\ p(x,y)=s_x+e, ...
0
votes
2answers
178 views
A question concerning Toeplitz matrices
I am studying Toeplitz matrices. I have to find out the eigenvalues of the following Toeplitz matrix:
$$\begin{bmatrix}
2 & -8 & -24 \\
3 & 2 & -8 \\
1 & 3 & 2
...
1
vote
1answer
203 views
Minimization of function expressed with vectors and matrices
I need to find vector $\bf{p}$ in the following system:
$$\bf{0} \approx \bf{W} \left[ \bf{C}^2 \bf{p} - \bf{d} \right]$$
$$\bf{0} \approx \varepsilon \bf{p}$$
In the above, $\bf{0}$ is a vector, ...
1
vote
0answers
767 views
What is the algorithm for LU factorization in MATLAB?
What is the algorithm for LU factorization in MATLAB, i.e. [L,U] = lu(a)?
After searching for many examples and trying to compare the result with MATLAB,
they are ...
