Results 11 to 20 of about 251 (42)
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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An algebraic model for the propagation of errors in matrix calculus
Special Matrices, 2020 We assume that every element of a matrix has a small, individual error, and model it by an external number, which is the sum of a nonstandard real number and a neutrix, the latter being a convex (external) additive group.
Van Tran Nam, van den Berg Imme
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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
semanticscholar +1 more source
Cyclotomic matrices over real quadratic integer rings [PDF]
, 2012 We classify all cyclotomic matrices over real quadratic integer rings and we show that this classification is the same as classifying cyclotomic matrices over the compositum all real quadratic integer rings.
Bourbaki +17 more
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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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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
semanticscholar +1 more source
Orthogonality for (0, −1) tropical normal matrices
Special Matrices, 2020 We study pairs of mutually orthogonal normal matrices with respect to tropical multiplication. Minimal orthogonal pairs are characterized. The diameter and girth of three graphs arising from the orthogonality equivalence relation are computed.
Bakhadly Bakhad +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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Invariant theory in exterior algebras and Amitsur-Levitzki type theorems [PDF]
, 2015 This article discusses invariant theories in some exterior algebras, which are closely related to Amitsur-Levitzki type theorems. First we consider the exterior algebra on the vector space of square matrices of size $n$, and look at the invariants ...
Itoh, Minoru
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