نتایج جستجو برای: circulant matrix

تعداد نتایج: 365418  

Journal: :Linear Algebra and its Applications 2000

Journal: :Appl. Math. Lett. 2007
Xiao-Guang Lv Ting-Zhu Huang

It is shown that the invertibility of a Toeplitz matrix can be determined through the solvability of two standard equations. The inverse matrix can be denoted as a sum of products of circulant matrices and upper triangular Toeplitz matrices. The stability of the inversion formula for a Toeplitz matrix is also considered. c © 2007 Elsevier Ltd. All rights reserved.

Journal: :Bulletin of Applied Mathematics and Mathematics Education 2022

Spectral graph theory discusses about the algebraic properties of graphs based on spectrum a graph. This article investigated prism The method used in this research is circulant matrix. results showed that P2,s regular degree 3, for s odd and ≥ circulantt with spectrum.

Journal: :Australasian J. Combinatorics 2014
Sarada Herke

A 1-factorisation of a graph G is a partition of the edge set of G into 1factors (perfect matchings); a perfect 1-factorisation of G is a 1-factorisation of G in which the union of any two of the 1-factors is a Hamilton cycle in G. It is known that for bipartite 4-regular circulant graphs, having order 2 (mod 4) is a necessary (but not sufficient) condition for the existence of a perfect 1-fact...

Journal: :J. Comb. Theory, Ser. B 1998
Dragan Marusic

The action of a subgroup G of automorphisms of a graph X is said to be 2 -transitive if it is vertexand edgebut not arc-transitive. In this case the graph X is said to be (G, 2)-transitive. In particular, X is 1 2 -transitive if it is (Aut X, 1 2)-transitive. The 2 -transitive action of G on X induces an orientation of the edges of X which is preserved by G. Let X have valency 4. An even length...

2008
Rahim Zaare-Nahandi

In this paper, by a modification of a previously constructed minimal free resolution for a transversal monomial ideal, the Betti numbers of this ideal is explicitly computed. For convenient characteristics of the ground field, up to a change of coordinates, the ideal of t-minors of a generic pluri-circulant matrix is a transversal monomial ideal . Using a Gröbner basis for this ideal, it is sho...

Journal: :IEEE Trans. Information Theory 2003
Feng-Wen Sun Yimin Jiang John S. Baras

Many issues in signal processing involve the inverses of Toeplitz matrices. One widely used technique is to replace Toeplitz matrices with their associated circulant matrices, based on the well-known fact that Toeplitz matrices asymptotically converge to their associated circulant matrices in the weak sense. This often leads to considerable simplification. However, it is well known that such a ...

Journal: :Archiv der Mathematik 2021

Abstract We compute the determinant of a matrix containing Ramanujan sums associated to divisors an integer n , and use this computation prove weak version So’s conjecture on circulant graphs with integral spectrum.

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