Results 21 to 30 of about 236 (40)

Completely positive matrices over Boolean algebras and their CP-rank

Special Matrices, 2015
Drew, Johnson and Loewy conjectured that for n ≥ 4, the CP-rank of every n × n completely positive real matrix is at most [n2/4]. In this paper, we prove this conjecture for n × n completely positive matrices over Boolean algebras (finite or infinite ...
Mohindru Preeti
doaj   +1 more source

Enumeration of Linear Transformation Shift Registers

, 2013
We consider the problem of counting the number of linear transformation shift registers (TSRs) of a given order over a finite field. We derive explicit formulae for the number of irreducible TSRs of order two.
Ram, Samrith
core   +1 more source

On the Consimilarity of Split Quaternions and Split Quaternion Matrices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper, we introduce the concept of consimilarity of split quaternions and split quaternion matrices. In his regard, we examine the solvability conditions and general solutions of the equations and in split quaternions and split quaternion ...
Kösal Hidayet Hüda, Akyiğit Mahmut, Tosun Murat   +2 more
doaj   +1 more source

Jordan left derivations in infinite matrix rings

Demonstratio Mathematica
Let RR be a unital associative ring. Our motivation is to prove that left derivations in column finite matrix rings over RR are equal to zero and demonstrate that a left derivation d:T→Td:{\mathcal{T}}\to {\mathcal{T}} in the infinite upper triangular ...
Zhang Daochang, Ma Leiming, Hu Jianping, Sun Chaochao   +3 more
doaj   +1 more source

Rank equivalent and rank degenerate skew cyclic codes

, 2016
Two skew cyclic codes can be equivalent for the Hamming metric only if they have the same length, and only the zero code is degenerate. The situation is completely different for the rank metric, where lengths of codes correspond to the number of outgoing
Martínez-Peñas, Umberto
core   +1 more source

The perturbation of Drazin inverse and dual Drazin inverse

Special Matrices
In this study, we derive the Drazin inverse (A+εB)D{\left(A+\varepsilon B)}^{D} of the complex matrix A+εBA+\varepsilon B with Ind(A+εB)>1{\rm{Ind}}\left(A+\varepsilon B)\gt 1 and Ind(A)=k{\rm{Ind}}\left(A)=k and the group inverse (A+εB)#{\left(A ...
Wang Hongxing, Cui Chong, Wei Yimin
doaj   +1 more source

Some Equivalence Relations and Results over the Commutative Quaternions and Their Matrices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper, we give some equivalence relations and results over the commutative quaternions and their matrices. In this sense, consimilarity, semisimilarity, and consemisimilarity over the commutative quaternion algebra and commutative quaternion ...
Kosal Hidayet Huda, Tosun Murat
doaj   +1 more source

A note on the multiple-recursive matrix method for generating pseudorandom vectors

, 2017
The multiple-recursive matrix method for generating pseudorandom vectors was introduced by Niederreiter (Linear Algebra Appl. 192 (1993), 301-328). We propose an algorithm for finding an efficient primitive multiple-recursive matrix method. Moreover, for
Bishoi, Susil Kumar, Haran, Himanshu Kumar, Hasan, Sartaj Ul   +2 more
core   +1 more source

Determinants of tridiagonal matrices over some commutative finite chain rings

Special Matrices
Diagonal matrices and their generalization in terms of tridiagonal matrices have been of interest due to their nice algebraic properties and wide applications.
Jitman Somphong, Sricharoen Yosita
doaj   +1 more source

From lattices to Hv-matrices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper we study the concept of sets of elements, related to results of an associative binary operation. We discuss this issue in the context of matrices and lattices.
Křehlík Štěpán, Novák Michal
doaj   +1 more source