Results 11 to 20 of about 37 (37)

Patterns with several multiple eigenvalues

Special Matrices, 2014
Identified are certain special periodic diagonal matrices that have a predictable number of pairedeigenvalues. Since certain symmetric Toeplitz matrices are special cases, those that have several multiple 5eigenvalues are also investigated further.
Dorsey J., Johnson C.R., Wei Z.
doaj   +1 more source

1-Sylvester matrices

Special Matrices
A nonzero element aa is called 1-Sylvester in a ring RR, if there exist b,c∈Rb,c\in R such that 1=ab+ca1=ab+ca. In this article, we study such elements, mainly in matrix rings over commutative rings.
Călugăreanu Grigore
doaj   +1 more source

Variations in the sub-defect of doubly substochastic matrices

Special Matrices
The sub-defect of a doubly stochastic matrix AA, denoted as sd(A)=⌈n−sum(A)⌉sd\left(A)=\lceil n-{\rm{sum}}\left(A)\rceil , is defined as the minimum number of rows and columns required to be added to transform the doubly substochastic matrix into a ...
Cao Lei, Eshkaftaki Ali Bayati, Koyuncu Selcuk   +2 more
doaj   +1 more source

Properties and applications of fractus matrices

Special Matrices
We introduce a novel class of self-similar matrices exhibiting recursive structural patterns across multiple scales. These matrices provide a unifying framework that connects discrete linear structures with geometric properties.
Carrillo-Pacheco Jesús
doaj   +1 more source

On nilpotent matrices that are unit-regular

In this paper, we characterize regular nilpotent 2 × 2 matrices over Bézout domains and prove that they are unit-regular. We also demonstrate that nilpotent n × n matrices over division rings are unit-regular.
CĂLUGĂREANU, Grigore
core   +1 more source

Idempotents which are products of two nilpotents

Special Matrices
Over any GCD (greatest common divisor) commutative domain we show that the nontrivial 2×22\times 2 idempotent matrices are products of two nilpotent matrices. In order to find explicitly such decompositions, two procedures are described.
Călugăreanu Grigore, Pop Horia F.
doaj   +1 more source

Symmetric Jacobians

Open Mathematics, 2014
Bondt Michiel
doaj   +1 more source

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Ashok K Das
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Linear and Multilinear Algebra, 2022
Said Zriaa
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Finding the Determinant of a Matrix via Complex Analysis

American Mathematical Monthly, 2020
Yuan Yuan, Shan Tai Sandy Chan
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