Results 21 to 30 of about 2,339 (216)
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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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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On the \(g\)-circulant matrices
, 2018 Summary: In this paper, firstly we compute the spectral norm of \(g\)-circulant matrices \(C_{n,g}=g\text{-Circ}(c_0,c_1,\ldots,c_{n-1})\), where \(c_i\geq0\) or \(c_i\leq0\) (equivalently \(c_i\cdot c_j\geq0)\). After, we compute the spectral norms, determinants and inverses of the \(g\)-circulant matrices with the Fibonacci and Lucas numbers.
Bahşi, Mustafa, Solak, Süleyman
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Limit Theorems for Spectra of Circulant Block Matrices with Large Random Blocks
MathematicsThis paper investigates the spectral properties of block circulant matrices with high-order symmetric (or Hermitian) blocks. We analyze cases with dependent or sparse independent entries within these blocks.
Alexander Tikhomirov +2 more
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International Journal of Robust and Nonlinear Control, EarlyView., 2023 Abstract We propose a hierarchical energy management scheme for aggregating Distributed Energy Resources (DERs) for grid flexibility services. To prevent a direct participation of numerous prosumers in the wholesale electricity market, aggregators, as self‐interest agents in our scheme, incentivize prosumers to provide flexibility. We firstly model the
Xiupeng Chen +3 more
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Double circulant matrices [PDF]
Linear and Multilinear Algebra, 2017 Double circulant matrices are introduced and studied. A formula to compute the rank r of a double circulant matrix is exhibited; and it is shown that any consecutive r rows of the double circulant matrix are linearly independent. As a generalization, multiple circulant matrices are also introduced.
Fan, Yun, Liu, Hualu
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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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On circulant involutory MDS matrices [PDF]
Designs, Codes and Cryptography, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Victor Cauchois, Pierre Loidreau
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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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Norms of randomized circulant matrices
Electronic Journal of Probability, 2022 We investigate two-sided bounds for operator norms of random matrices with unhomogenous independent entries. We formulate a lower bound for Rademacher matrices and conjecture that it may be reversed up to a universal constant. We show that our conjecture holds up to $\log\log n$ factor for randomized $n\times n$ circulant matrices and double logarithm ...
Latała, Rafał, Świątkowski, Witold
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