What is the best known parallel algorithm for matrix inversion over finite field ?

In the article "Fast Parallel Computation of Characteristic Polynomial by Leverrier's Power Sum Method Adapted to Fields of Finite Characteristic" by Arnold Schonhage 1993, the author represets an...

31 December 2018 2,573 1 View

What is the probability that a perturbed matrix would be diagonalizable ?

Given a real nxn matrix A and a perturbation of the form A+R where R is chosen uniformly at random in [-r,r]nxn i.e. each entry of R is in the segment [-r,r] for some given r>0, what is the...

10 November 2018 1,141 1 View

Can anyone help with finding a simple proof for a theorem from parallel complexity theory ?

A known theorem staes that if $f$ is a function from $\left\{0,1\right\}^{n}$ to $\{0,1\right\}$ that has a critical input, cannot be computed by any CREW PRAM machine (i.e. regardless of the...

01 February 2018 1,590 0 View

Given a finite set of $n\times n$ matrices overa some finite field. How can one get a maximal rank matrix as a linear combination ?

Given $n\times n$ matrices $A_{1},\ldots,A_{m}$ over a finite field, how can one construct a matrix $\sum_{j}^{m}a_{j}A_{j}$ with the maximal possible rank ?

01 February 2018 5,107 3 View

Is there any good reference concerning the VC dimension of general NP-complete problems ?

31 December 2015 6,642 1 View

What is the probability that the nonsymmetric algebraic Riccati equation XCX-XD+AX-B=0 has solutions ?

Let T=[A B;C D] be a real (m+n)X(m+n) stable matrix with controllable pair (D,C). Choosing such matrices T uniformly at random: What is the probability that the nonsymmetric algebraic Riccati...

11 December 2015 9,527 3 View

What is the complexity of regional pole placement in non-convex or unconnected regions ?

It is known that exact pole placement is NP-hard. On the other hand it is known that regional pole placement in LMI regions can be solved in polynomial time. The question is what is the complexity...

03 April 2015 5,623 3 View

Does anyone have experience with HINFSTRUCT?

09 October 2014 9,603 4 View

Does anyone have experienced with HIFOO ?

How can I use HIFOO in order to find a minimal-norm static-output-feedback ? Specifically, if A,B,C are the state space matrices of a continuous time linear system, how can I find, using HIFOO, a...

09 October 2014 766 2 View

Does anyone know a good reference for the matrix quadratic theory equations over finite fields ?

09 October 2014 1,769 1 View

How to classify strictly upper triangular matrices by similarity?

Let F be a field. Consider U, the set of n times n strictly upper triangular matrices in F. For X, Y in U, we call them similar if there exists some S, which is non-degenerate and upper...

01 March 2021 2,957 8 View

Is CD44 degraded in lysosome together with hyaluronan after CD44 mediated endocytosis of hyaluronic acid?

Also when RHAMM binds hyaluronic acid, they get internalized, will RHAMM also be degraded? Or both CD44 and RHAMM will be transferred back to the cell membrane? Asking for breast cancer cell line...

01 March 2021 8,169 2 View

Why is the sum of the elements in a row in a Q matrix equal to zero?

When explaining substitution models, the substitutions are expressed as Q matrix. Why is the sum of the elements in a row zero?

28 February 2021 3,864 3 View

Distribution of particles in metal matrix?

How would define the "good" and "poor" distribution of particles within the matrix. Is there a quantitative solution to assess the distribution of the particles, which then having denotation of...

28 February 2021 7,397 8 View

How to find a correlation between coordinates in a curvilinear coordinate system?

Hello. I have a skewed elliptical coordinate system (I use alternative elliptical coordinates). And I need to determine connections between coordinates in order to fetch a covariance matrix of...

28 February 2021 364 3 View

For modelling epoxy-based matrices (in composites), which model in ABAQUS is the most suitable, Concrete damaged plasticity or Drucker-Prager model?

I am working on developing a micromechanical FE model for predicting kink-band formation in UD composites. To model matrix plasticity, which model, out of Concrete Damaged Plasticity and...

28 February 2021 5,415 1 View

How to find the right number of integration points in second order 3d finite elements?

I am familiar with finite element simulations and numerical schemes like the Gauss Legendre quadrature. I also know that the Gauss integration yields exact values for polynomials up to degree 2n-1...

27 February 2021 6,818 3 View

What are the methods used for CNT..?

Respected Professor's i hope you are doing well and happy. i need some information about carbon Nanotubes. before blending the CNT with the matrix the CNT has been introducing in some treatments....

24 February 2021 5,383 5 View

How can I generate random samples from Bingham distribution in R? How can I construct those symmetric matrices?

in the function rbingham(n,A) in R software how can I construct that A (symmetric) matrix?

24 February 2021 3,528 3 View

How does the injection volume impact LLOQ and ULOQ in regression analysis (LC-MSMS)?

Hello, I have run into an issue that has sparkled a debate at work: is the LLOQ/ULOQ impacted by injection volume under the following circumstances: 1) Same dilution factor of all samples 2)...

23 February 2021 9,159 3 View