Circulant Matrices (DCM)
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 ...
7
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 ...
10
Encryption of Data using Elliptic Curve over Circulant Matrices
... The proposed cryptosystem provides security in two levels. First level, the random number ‘m’ and the matrix C are used for encryption of the plaintext block. Each character is coded into point on elliptic curve and ...
5
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 ...
15
The spectral norms of geometric circulant matrices with the generalized k Horadam numbers
... This matrix was first proposed by Davis in [1], then one found it has many interesting properties, and it is one of the most important research subject in the field of the compu- tation and pure mathematics (see [2–9]). ...
9
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, ...
30
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 ...
11
Some (Hopf) algebraic properties of circulant matrices
... circulant matrices. This study takes us to some conditions about when a circulant matrix is obtained as integral linear combinations of some elements of this ...of circulant matrices ...
17
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 ...
10
On the spectral norms of r circulant matrices with the biperiodic Fibonacci and Lucas numbers
... of circulant and r-circulant matrices whose entries are special integer se- quences ...r-circulant matrices in the forms A = C r (F , F , F , ...
12
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 ...
20
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 ...
11
Unit group of algebra of circulant matrices
... Gildea, Units of Group Algebras , PhD Thesis, National University of Ireland, Galway, October 2007. [7] J[r] ...
6
Half Rate Quasi Cyclic Low Density Parity Check Codes Based on Combinatorial Designs
... BER ≤ − . For code with and length L = 255 , parity check matrix is constructed by five rows of the circulant matrices and satisfies conditions of the proposition 1. This concludes a half- rate regular code ...
12
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. ...
9
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 ...
6
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 ...
38
Circulant Interval Valued Fuzzy Matrices
... fuzzy matrices with interval- valued fuzzy rows and ...fuzzy matrices. Bhowmik and Pal [2,20] introduced the concept of circulant triangular fuzzy number matrices (TFNMs) and some result on ...
10
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 ...
5
On the norms of an r circulant matrix with the generalized k Horadam numbers
... r-circulant matrices [–] have been one of the most interesting research areas in the field of computation ...these matrices have a wide range of applications in signal processing, coding theory, ...
8