Results 11 to 20 of about 62 (56)
Consimilarity of Commutative Quaternion Matrices
, 2015 In this paper, the consimilarity of complex matrices is generalized for commutative quaternion matrices. In this regard, the coneigenvalue and coneigenvector for commutative quaternion matrices are defined.
Hidayet Kösal, M. Akyiğit, M. Tosun
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A Study on Commutative Elliptic Octonion Matrices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this study, firstly notions of similarity and consimilarity are given for commutative elliptic octonion matrices. Then the Kalman-Yakubovich s-conjugate equation is solved for the first conjugate of commutative elliptic octonions. Also, the notions of
Sürekçi Arzu Cihan +1 more
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Some properties of complex quaternion and complex split quaternion matrices
, 2019 The aim of this study is to investigate some properties of complex quaternion and complex split quaternion matrices. To verify this, we use 2x2 complex matrix representation of these quaternions.
Y. Alagöz, G. Özyurt
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On the summation of fractional powers of matrices over finite fields
, 2016 In this paper, we investigate the summation of fractional powers of matrices over finite fields. More specifically, we show how a fractional power of a matrix of a linear transform over a finite field can be obtained from the linear combination of some ...
Juliano B. Lima, R. Souza
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Monomial codes seen as invariant subspaces
Open Mathematics, 2017 It is well known that cyclic codes are very useful because of their applications, since they are not computationally expensive and encoding can be easily implemented. The relationship between cyclic codes and invariant subspaces is also well known.
García-Planas María Isabel +2 more
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Similarity relations and exponential of dual-generalized complex matrices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this study, taking into account the fundamental properties of dual-generalized complex (DGC) matrices, various types of similarity relations are introduced considering coneigenvalues/coneigenvectors via di erent conjugates.
Gürses Nurten, Şentürk Gülsüm Yeliz
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 A ring is called negative clean if the negative (i.e., the additive inverse) of each clean element is also clean. Clean rings are negative clean.
Călugăreanu Grigore, Pop Horia F.
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On nilpotent matrices that are unit-regular [PDF]
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
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Fejér–Riesz factorization in the QRC-subalgebra and circularity of the quaternionic numerical range [PDF]
Journal Article, Faculty of Natural and Agricultural Sciences, Pure and Applied Analytics -- Potchefstroom CampusWe provide a characterization when the quaternionic numerical range of a matrix is a closed ball with center 0.
Van Straaten, Madelein +2 more
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The c-numerical range of a quaternion skew-Hermitian matrix is convex [PDF]
Journal Article, Faculty of Natural and Agricultural Sciences, Pure and Applied Analytics-- Potchefstroom CampusWe show that the c-numerical range of a non-scalar skew-Hermitian quaternion matrix is convex.
Thiersen, Madelein +2 more
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