# Tagged Questions

40 views

### Is there a faster way to calculate a pseudo-inverse of a matrix than using SVD that is as numerically stable as with SVD?

Is there a faster way to calculate a pseudo-inverse of a matrix than using SVD that is as numerically stable as using SVD?
45 views

### Least Square with homogeneous solution!

I've read somewhere that: $x=A^+b+(I-A^+A)Z$ is a solution for $Ax=b$ ,when is doesn't have a particular solution. where $A^+$ indicates the pseudo-inverse and $Z$ is an arbitrary vector!!! I know ...
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### What is the error in Newton's Method for Matrix Inversion?

I need it to invert a matrix. Wikipedia explains that there is a generalization of the Newton Method for matrices. However, there is nothing mentioned about the error bounds. Suppose we have, as ...
416 views

### Matrix Pseudo-Inverse using LU Decomposition?

What is the step by step numerical approach to calculate the pseudo-inverse of a matrix with M rows and N columns, using LU decomposition? So far, I have found this, but it uses singular value ...
### solve $y = (A+B^{-1})x$ for $x$
I wish to solve numerically for $x$, $$y = (A+B^{-1})x$$ with $A, B$ positive definite. So, $$x = (A+B^{-1})^{-1}y$$ I would like to avoid calculating $B^{-1}$ since that's generally bad. ...
### Compute $\mathbf v \mathbf A^{-1}\mathbf v^\top$ in a numerically stable way
I've read that you should avoid computing a matrix inverse, as you generally don't need to, but I don't know the best way to avoid it. I need to compute: x = \mathbf v \mathbf A^{-1}\mathbf ...