Results 1 to 10 of about 1,684,687 (171)
The spectral norms of geometric circulant matrices with the generalized k-Horadam numbers
Journal of Inequalities and Applications, 2018 In this paper, we use the algebra methods, the properties of the r-circulant matrix and the geometric circulant matrix to study the upper and lower bound estimate problems for the spectral norms of a geometric circulant matrix involving the generalized k-
Baijuan Shi
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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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A Note on the Square Roots of a Class of Circulant Matrices [PDF]
Journal of Applied Mathematics, 2013 We prove that any k-circulant matrix and any even order skew k-circulant matrix are diagonalizable for any k∈ℂ. Then, we propose two algorithms for computing the square roots of the k-circulant matrix and the skew k-circulant matrix, respectively.
Ying Zhang, Huisheng Zhang, Guoyan Chen
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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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Matriks Circulant Kompleks Bentuk Khusus 3 × 3 Berpangkat Bilangan Bulat
Jurnal Matematika Integratif, 2022 This article identifies the general form of matrix power and trace of an integer power of Special Form of the 3 × 3 Complex Circulant matrix. The research begins to determine the general form of an integer power of Special Form of the 3 × 3 Complex ...
Dewinta Mamula +2 more
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Real block-circulant matrices and DCT-DST algorithm for transformer neural network
Frontiers in Applied Mathematics and Statistics, 2023 In the encoding and decoding process of transformer neural networks, a weight matrix-vector multiplication occurs in each multihead attention and feed forward sublayer.
Euis Asriani +4 more
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On the spectral norms of some circulant matrices with the trigonometric functions
Journal of Inequalities and Applications, 2019 In this paper, we use the properties of an r-circulant matrix and a geometric circulant matrix to study the spectral norms of the r-circulant matrix and the geometric circulant matrix involving trigonometric functions by some algebra methods.
Baijuan Shi
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Circulant matrices: norm, powers, and positivity [PDF]
Opuscula Mathematica, 2018 In their recent paper "The spectral norm of a Horadam circulant matrix", Merikoski, Haukkanen, Mattila and Tossavainen study under which conditions the spectral norm of a general real circulant matrix \({\bf C}\) equals the modulus of its row/column sum.
Marko Lindner
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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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