Results 11 to 20 of about 252 (45)
Determinantal inequalities of Hua-Marcus-Zhang type for quaternion matrices
Open Mathematics, 2021 In this paper, the authors extend determinantal inequalities of the Hua-Marcus-Zhang type for positive definite matrices to the corresponding ones for quaternion matrices.
Hong Yan, Qi Feng
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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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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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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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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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Twisted immanant and matrices with anticommuting entries
, 2015 This article gives a new matrix function named "twisted immanant," which can be regarded as an analogue of the immanant. This is defined for each self-conjugate partition through a "twisted" analogue of the irreducible character of the symmetric group ...
Itoh, Minoru
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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
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