7,050 reputation
22351
bio website fph.altervista.org
location Pisa, Italy
age 32
visits member for 5 years, 8 months
seen 10 mins ago

Numerical linear algebra. Mainly matrix equations and their applications (control theory, applied probability).

(This profile was written for Mathoverflow, but Stack Exchange insists on copying it over verbatim to other sites, where it makes less sense.)


1d
revised A question on the name of a property
toplevel tag
1d
comment Determinant of block tridiagonal matrices
For the determinant it is probably the same. Determining rank and eigenvalues might require a bit more of algebraic machinery, though (nothing too fancy, extensions of finite fields).
2d
answered Deceptive linear algebra problem
Jul
31
comment Determinant of block tridiagonal matrices
If you are studying Lights Out, as you mentioned in the linked MSE thread, probably you should be interested in the determinant in $\mathbb{F}_2$, not in $\mathbb{R}$.
Jul
20
comment Can I find the gap between the two least eigenvalues of this special matrix A(t)?‎
@Toughee If the diagonal elements are completely arbitrary, I am afraid no. That's why I asked if you have a formula for them. Where do they come from?
Jul
19
revised Can I find the gap between the two least eigenvalues of this special matrix A(t)?‎
reference
Jul
19
answered Can I find the gap between the two least eigenvalues of this special matrix A(t)?‎
Jul
15
reviewed Approve powers of largest graded ideal of R contained in I
Jul
15
reviewed Approve References on quaternionic geometry
Jul
14
reviewed Approve teaching tag wiki excerpt
Jul
14
reviewed Approve real-analysis tag wiki excerpt
Jul
14
reviewed Approve real-analysis tag wiki
Jul
12
reviewed Reject irreducibility of varieties defined by square roots equatiosn
Jul
12
reviewed Approve Resource Constrained Routing with Refueling
Jul
5
reviewed Approve Preimage of a maximal compact open subgroup in the simply connected cover
Jul
5
comment Worst case difference in rank by column-row swapping
I am downvoting because you are not explaining yourself at all. Add an example!
Jul
1
reviewed Approve A conjecture on the prime counting function
Jun
25
comment Can I find the gap between the two least eigenvalues of this special matrix A(t)?‎
Are all the values inside the band equal to $ct+d$, or can there be zeros also inside the band?
Jun
25
answered Find inverse and determinant of a symmetric matrix - for a maximum-likelihood estimation
Jun
23
comment Prove or disprove a matrix logarithm equation
I am not a differential geometer, but after reading the formulation in your other question, I am more convinced that it can't be done, at least with a reasonably smooth function. What you ask for is a distance-preserving isomorphism between $\mathbb{S}^n_+$ and $\mathbb{R}^{n^2}$, and this shouldn't be possible because they have different curvature.