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

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

error in running a model in Abaqus

Excessive rotation of nodes in node set ErrNodeExcessRotation-Step1

17 August 2021 0 0 View

error in modelling model in Abaqus

Excessive rotation of nodes in node set ErrNodeExcessRotation-Step1

17 August 2021 0 0 View

MD MOE RMSD

How to calculate the RMSD values for a MD simulation using MOE?

07 August 2021 0 0 View

MD MOE RMSD

How to calculate the RMSD values for a MD simulation using MOE?

07 August 2021 0 0 View

MGL tools

20 June 2021 0 0 View

fatal error

When I tried to energy minimization my system, I got fatal error as below. Fatal error: Atomtype opls_116 not found Although I've already added this line: ; include water #include "oplsaa.ff/spc.itp" to [molecultype] directive in my topology.

16 June 2021 0 0 View

fatal error

When I tried to energy minimization my system, I got fatal error as below. Fatal error: Atomtype opls_116 not found Although I've already added this line: ; include water #include "oplsaa.ff/spc.itp" to [molecultype] directive in my topology.

16 June 2021 0 0 View

fatal error

When I tried to energy minimization my system, I got fatal error as below. Fatal error: Atomtype opls_116 not found Although I've already added this line: ; include water #include "oplsaa.ff/spc.itp" to [molecultype] directive in my topology.

16 June 2021 0 0 View

fatal error

When I tried to energy minimization my system, I got fatal error as below. Fatal error: Atomtype opls_116 not found Although I've already added this line: ; include water #include "oplsaa.ff/spc.itp" to [molecultype] directive in my topology.

16 June 2021 0 0 View

How climate change will influences human and animal behavioral change?

The role of climate change influencing the human behavior as well as economics interest

01 June 2021 0 0 View