Circulant matrices
The spectral norms of geometric circulant matrices with the generalized k Horadam numbers
... geometric circulant matrix with some commonly chosen values have also been studied by many researchers in recent ...those matrices based on the special ...of circulant matrices and r- ...
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Some (Hopf) algebraic properties of circulant matrices
... n matrices "factorizes" (in a certain sense) as the "product" between the algebra of n × n circulants and the algebra of n × n diagonal ...a circulant matrix is simply the transpose of ...a ...
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On the bounds for the spectral norms of geometric circulant matrices
... geometric circulant matrices with the generalized Fibonacci and hyperharmonic Fibonacci ...geometric circulant matrices with the Fibonacci and Pell numbers, ...geometric circulant ...
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Applications of Symmetric Circulant Matrices to Isotropic Markov Chain Models and Electrical Impedance Tomography
... Symmetric circulant matrices (or shortly symmetric circulants) are a very spe- cial class of matrices sometimes arising in problems of discrete periodic con- volutions with symmetric ...these ...
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On the spectral norm of r circulant matrices with the Pell and Pell Lucas numbers
... Special matrices is a widely studied subject in matrix ...special matrices whose entries are well-known number sequences have become a very interesting research subject in recent years and many authors have ...
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On Binary Embedding using Circulant Matrices
... randomized circulant matrices (which are also the main tool in our work) have been studied, starting with the works (Hinrichs and Vyb´ıral, 2011; Vyb´ıral, ...
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On the spectral norms of r circulant matrices with the biperiodic Fibonacci and Lucas numbers
... In this paper, we obtain new upper and lower bounds for the spectral norms of the r- circulant matrices Q and L whose entries are the biperiodic Fibonacci and biperiodic Lucas numbers. This study can be ...
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On the norms of circulant and r circulant matrices with the hyperharmonic Fibonacci numbers
... of circulant and r-circulant matrices with the harmonic and hyperharmonic Fibonacci ...of circulant matrix with harmonic Fibonacci ...r-circulant matrices and give lower and ...
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The upper bound estimation on the spectral norm of r circulant matrices with the Fibonacci and Lucas numbers
... respectively. This paper gives an upper bound estimation of the spectral norm for r-circulant matrices with Fibonacci and Lucas numbers. The result is more accurate than the corresponding results of S Solak ...
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On the spectral norms of some circulant matrices with the trigonometric functions
... 1885, circulant matrix was first proposed by Muir, and he did some basic ...of circulant matrices; these efforts have opened the door to study circulant matri- ...A circulant matrix is a ...
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Encryption of Data using Elliptic Curve over Circulant Matrices
... of circulant matrices are combining with elliptic curve to provide an analogue of ElGamal cryptosystem for encrypting/decrypting ...of circulant matrices in encryption and decryption process ...
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Eigenvectors of block circulant and alternating circulant matrices
... block circulant matrices had been found for real symmetric matrices with symmetric submatrices, and for block cir- culant matrices with circulant ...block circulant ...
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Unit group of algebra of circulant matrices
... Gildea, Units of Group Algebras , PhD Thesis, National University of Ireland, Galway, October 2007. [7] J[r] ...
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Chandoul
... which is n th Lucas number. In [2], they are studied the norm bounds for the Hadamard inverse of this matrix. In [1], authors computed some norms of r-circulant matrices associated with a number sequence. ...
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Lightweight MDS Involution Matrices
... a circulant construction, like for the AES block cipher [17] or the WHIRLPOOL hash function ...a circulant matrix for hardware implementations is that all of its rows are similar (up to a right shift), and ...
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Half Rate Quasi Cyclic Low Density Parity Check Codes Based on Combinatorial Designs
... of circulant matrices, an irre- gular QC-LDPC code with girth 6 is ...technique, circulant matrices are inte- ractively designed with each other to prohibit existence of cycles with lengths 4 ...
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Reliability Measures in Circulant Network
... The circulant is a natural generalization of the double loop network and was first considered by Wong and Coppersmith ...[16]. Circulant graphs have been used for decades in the design of computer and ...
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Combinatorial Properties of Circulant Networks
... The circulant is a natural generalization of the double loop network and was first considered by Wong and Coppersmith ...[18]. Circulant graphs have been used for decades in the design of computer and ...
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A Study on Isomorphic Properties of Circulant Graphs
... introduced circulant matrices and properties of circulant graphs have been investigated by many au- thors ...of circulant matri- ces can be found in the book by Davis [2] and circulant ...
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On the norms of an r circulant matrix with the generalized k Horadam numbers
... r-circulant matrices associated with the k-Fibonacci and k-Lucas numbers, ...a circulant matrix whose entries are the generalized k-Horadam numbers and then computed the spectral norm, eigenvalues ...
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