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

09 October 2014 1,769 1 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 is the most Operating System (OS) which can be INSTALL on Tiny hard devices like Raspberry Pi (RPi) hardware ?

I'm targeting to deploy a mesh network and manually configure MANET routing protocols. I'm preparing scenarios, architectures, and hard devices needed to do that. Are there some step-by-step...

03 March 2021 1,931 5 View

Can we classify HV and LV lines based on line length?

I have dataset which shows the length of power lines. I need to classify the lines based on the line length. Is there a rule to classify the High voltage (HV) and low voltage (LV) lines based on...

03 March 2021 4,116 4 View

Is there a classification scheme for rock cavities or caverns with respect to their size and shape?

The range of forms and sizes of cavities in rock is very big. Is there a classification scheme for rock cavities regarding their size and shape?

02 March 2021 4,511 3 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

How to calculate BREQ 3 questionnaire?

how to calculate BEHAVIOURAL REGULATION IN EXERCISE QUESTIONNAIRE BREQ 3 ,which contain 24 questions and each question has 5 answers (0- Strongly disagree , 1-disagree, 2- Neither agree nor...

02 March 2021 811 3 View

Is there a powerful system for the security of the systems distributed on IoT systems?

Is there a powerful system for the security of the systems distributed on IoT systems?

02 March 2021 3,858 10 View

I am interested in medicinal chemistry field, which books are highly recommended to learn from?

I am at the beginner level in drug design and drug discovery, and I am interested to learn more about this field. Which books are highly recommended to start from and gives me all essential...

02 March 2021 8,437 2 View

Please suggest a good text book for "Research Methodology in Life Sciences". Which book would be good for PhD Scholars?

Please provide Book Title and author name

02 March 2021 9,059 3 View