Questions tagged [nullspace]
The nullspace tag has no usage guidance.
1
vote
0answers
59 views
finding null space to a complex matrix
I need to solve the following equation:
$$
\begin{pmatrix}
\frac{\omega^2}{c^2}\varepsilon_x-\mu_z^{-1}k_y^2-\mu_y^{-1}k_z^2 & \mu_z^{-1}k_xk_y & \mu_y^{-1}k_xk_z\\
\mu_z^{-1}k_xk_y &\...
1
vote
1answer
140 views
Calculate the intersection of two matrix kernels in MATLAB
If we have a discrete saddle point problem with the coefficient matrix
$$ \mathcal{A} =
\begin{bmatrix}
A & B^T \\
B & 0
\end{bmatrix},
$$
then $\mathcal{A}$ is invertible, supposing $...
4
votes
0answers
222 views
Is it possible to predict the null space of a structure from contributing elements null spaces?
I am trying to solve an almost incompressible problem with heterogeneous properties by domain decomposition. Solution with CG converges slowly or divergerces completely. My problem becomes ill-...
3
votes
1answer
113 views
Find a single vector in the null space
I have a single sparse matrix $A$ for which I can easily compute $Ax$ and $A^*x$ and I would like to solve $\min(||Ax||) \text{ s.t. } ||x||=1$. I know the answer is the right singular vector ...
1
vote
2answers
166 views
Finding null vectors of a parameter-dependent matrix
I have dense complex matrices $M(z)$ in which each element $M_{ij} = M_{ij}(z)$
depends on a complex parameter $z$. I need to find $z$ such that the matrix $M$
gets singular, i.e. I am looking for ...
