VanderLaan Circulant Type Matrices [PDF]
Abstract and Applied Analysis, 2015 Circulant matrices have become a satisfactory tools in control methods for modern complex systems. In the paper, VanderLaan circulant type matrices are presented, which include VanderLaan circulant, left circulant, and g-circulant matrices.
Hongyan Pan, Zhaolin Jiang
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On Jacobsthal and Jacobsthal-Lucas Circulant Type Matrices [PDF]
Abstract and Applied Analysis, 2015 Circulant type matrices have become an important tool in solving fractional order differential equations. In this paper, we consider the circulant and left circulant and g-circulant matrices with the Jacobsthal and Jacobsthal-Lucas numbers.
Yanpeng Gong, Zhaolin Jiang, Yun Gao
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Circulant Type Matrices with the Sum and Product of Fibonacci and Lucas Numbers [PDF]
Abstract and Applied Analysis, 2014 Circulant type matrices have become an important tool in solving differential equations. In this paper, we consider circulant type matrices, including the circulant and left circulant and g-circulant matrices with the sum and product of Fibonacci and ...
Zhaolin Jiang, Yanpeng Gong, Yun Gao
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Explicit Form of the Inverse Matrices of Tribonacci Circulant Type Matrices
Abstract and Applied Analysis, 2015 It is a hot topic that circulant type matrices are applied to networks engineering. The determinants and inverses of Tribonacci circulant type matrices are discussed in the paper. Firstly, Tribonacci circulant type matrices are defined.
Li Liu, Zhaolin Jiang
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The Invertibility, Explicit Determinants, and Inverses of Circulant and Left Circulant and g-Circulant Matrices Involving Any Continuous Fibonacci and Lucas Numbers [PDF]
Abstract and Applied Analysis, 2014 Circulant matrices play an important role in solving delay differential equations. In this paper, circulant type matrices including the circulant and left circulant and g-circulant matrices with any continuous Fibonacci and Lucas numbers are considered ...
Zhaolin Jiang, Dan Li
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Vector-Circulant Matrices and Vector-Circulant Based Additive Codes over Finite Fields
Information, 2017 Circulant matrices have attracted interest due to their rich algebraic structures and various applications. In this paper, the concept of vector-circulant matrices over finite fields is studied as a generalization of circulant matrices.
Somphong Jitman
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On the Properties of r-Circulant Matrices Involving Generalized Fermat Numbers
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023 -circulant matrices have applied in numerical computation, signal processing, coding theory, etc. In this study, our main goal is to investigate the r-circulant matrices of generalized Fermat numbers which are shown by We obtain the eigenvalues ...
Engin Özkan, Engin Eser, Bahar Kuloǧlu
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AN ORDER-P TENSOR MULTIPLICATION WITH CIRCULANT STRUCTURE
Barekeng, 2023 Research on mathematical operations involving multidimensional arrays or tensors has increased along with the growing applications involving multidimensional data analysis. The -product of order- tensor is one of tensor multiplications.
Itsar Mangngiri +2 more
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Determinants of some special matrices over commutative finite chain rings
Special Matrices, 2020 Circulant matrices over finite fields and over commutative finite chain rings have been of interest due to their nice algebraic structures and wide applications. In many cases, such matrices over rings have a closed connection with diagonal matrices over
Jitman Somphong
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On the Norms of RFMLR-Circulant Matrices with the Exponential and Trigonometric Functions
Journal of Mathematics, 2021 In this paper, based on combinatorial methods and the structure of RFMLR-circulant matrices, we study the spectral norms of RFMLR-circulant matrices involving exponential forms and trigonometric functions.
Baijuan Shi
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