Tagged Questions
1
vote
2answers
29 views
Space spanned by matrices
I have a set of 5 by 5 matrices, M1,M2,...,M19 ,M20. I want to try to find a basis from this set and also to find relationships between these matrices.
This is how I think I should approach the ...
1
vote
1answer
67 views
Minimizing the norm related with iteration method
I am working on a iteration method to compute the generalized inverse of a matrix $A$ of rank $r$
Iteration method is
$X_{k+1} = X_{k} + \beta X_{k} (I - A X_{k}) $
where notations are as follows
...
4
votes
1answer
61 views
Need little hint to prove a theorem from a paper
I have an iterative method \begin{eqnarray}
X_{k+1}=(1+\beta)X_k-\beta X_k A X_k~~~~~~~~~~~~~~~~~ k = 0,1,\ldots
\end{eqnarray}
with initial approximation $X_0 = \beta A^*$ ($\beta$ is scalar ...
0
votes
1answer
85 views
more matrix inversion
Related to a previous question: Suppose I want to invert a (sparse) matrix written in block form as
\begin{array}{cccc}
A_{11} & A_{12} & \ldots & A_{1n}\\
A_{21} & A_{22} & & ...
1
vote
2answers
219 views
System of linear equations, resulting from a weighted graph. How to solve this numerically?
We have a problem that leads to a system of linear equations which has to be solved numerically. There are thousands of algorithms to solve linear equations, but I haven't found any that fits our ...