What is the condition for unique solution for the Sylvester equation over the field F_{2} ?

I'm looking for a necessary and sufficient condition for unique solutions to the Sylvester matrix equation AX-XD=B over the field F_{2}. Does anybody know about such condition that involves the...

01 February 2019 1,977 1 View

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

Binary Logistic Generalized Linear Mixed model in SPSS. Is it doable?

I want to analyses the proportion of swimming sperm of three species of fish in two salinities. To analyse the proportion of swimming sperm in a Generalized Linear Model, I would use a Binary...

03 March 2021 2,297 3 View

What techniques can I use to determine the miscibility of polymer blends?

The term miscibility refers to the single-phase state in thermodynamics. I do not mean the compatibility of different components. To determine the miscibility I know several techniques such as...

03 March 2021 4,107 4 View

Resistor definition in Piezoelectric bimorph with ANSYS workbench

Hello, good day! I am trying to simulate similar bimorph piezoelectric harvester with below commands. However, the output power doesn't change with resistor value. Please help to find the reason. ET,10,CIRCU94,0 !SET UP RESISTOR R,1,100000 !RESISTANCE VALUE TYPE,10 !SET ELEMENT TYPE E,1,2 !CREATE RESISTOR BETWEEN NODES 1 AND 2 Thanks in advance Regards,

02 March 2021 0 0 View

Do I need to do linear regression before running mediation analysis using PROCESS MACRO by Hayes ?

I just wanted to check if I need to run a linear regression separately if I am using PROCESS MACRO to run mediation analysis. Thank you.

02 March 2021 4,359 3 View

What analysis to choose with a large neste dataset and clearly skewed or kurtotic distributions?

Hello! I have a dataset of n=3000 nested within 8 countries with approximately 200 or 400 responses in each country. I originally planned to perform multilevel modelling with 4 dependent variables...

02 March 2021 6,865 1 View

Shall I skip the measurement model in SmartPLS?

Hello everyone, I had run a mediation model in SmartPLS using questionnaires that were already validated among my statistical population. A professor who edited my paper -though she is not...

01 March 2021 3,052 3 View

What is involved in morphological changes of SEM images of a substance?

In the sem analysis of CaCO3 nanaoparticles, the morphology images showed spherical shaped particles but the proposed morphology for these type of nanoparticles is trigonal. I prepared the...

01 March 2021 1,960 4 View

Joint behaviour in Abaqus is not captured well?

I am working on roof joint and trying to simulate the behaviour in Abaqus. I am successful in running the model but the final graph does not follow the experimental curve in the negative direction...

01 March 2021 6,661 3 View

In Molecular Dynamics Simulation, how do I make changes to the force field according to my protein?

Hi In Molecular Dynamics Simulation, how do I make changes to the force field according to my protein? I got this error in the add-ion stage: Fatal error "./ amber99sb-ildn-HHH.ff / force...

01 March 2021 8,747 4 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