Characteristic polynomial
Characteristic Polynomial of Arrangements and Multiarrangements
... this polynomial in different contexts: For instance, the characteristic polynomial captures various data such as the number of chambers in the real picture [45], the Betti numbers of the complex ...
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On characteristic polynomial of higher order generalized Jacobsthal numbers
... the characteristic polynomial of a recurrence (which gives information about the asymptotic behavior of the sequence) has a very long history and it became more popular after the seminal work of Baker on ...
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Study on the Effects of Characteristic Polynomial in LFSR for Randomness Quality
... given characteristic polynomial there are 2 n different possible initial settings of the register and, consequently, the polynomial can be used to generate 2 n different sequences of which one will ...
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Secure Outsourced Computation of the Characteristic Polynomial and Eigenvalues of Matrix
... Abstract. Linear algebra plays an important role in computer science, especially in cryptography.Numerous cryptog-raphic protocols, scientific computations, and numerical computations are based on linear algebra. Many ...
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Properties of characteristic polynomial of marker set distance and its Laplacian
... their characteristic polyno- mials. More often than not, the characteristic polynomial of a matrix reveals a lot of information about the underlying ...the characteristic polynomial are ...
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On zeros of the characteristic polynomial of matroids of bounded tree width
... of, it is natural to consider whether GF (q)-representability is necessary, or if excluding a long line minor from a matroid with bounded tree-width is sufficient to bound the roots of the characteristic ...
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Characteristic Polynomial of Adjacency Matrix of Path Semigraphs
... Semigraphs are introduced as a generalization of graphs. Instead of two vertices as in the graph, several vertices are joined by an edge in a semigraph. Semigraphs were introduced by E. Sampathkumar [11], and studied ...
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Secure outsourced computation of the characteristic polynomial and eigenvalues of matrix
... the characteristic polynomial and eigenvalues of a matrix to an untrusted server in the ...the characteristic polynomial and eigenvalues by using dis- guising ...
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Relationship between Coefficients of Characteristic Polynomial and Matching Polynomial of Regular Graphs and its Applications
... In following, suppose G is an IPR (5, 6)–fullerene such that any two pentagons are at distance at least 2. In [13] the authors calculated some of the coefficients of characteristic polynomial of G. Now, in ...
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On the distribution of the maximum value of the characteristic polynomial of GUE random matrices
... It is our objective in this paper to provide two separate means of supporting conjecture 1.1. First, we will provide careful and explicit, albeit in part heuristic, analytical argu- ments. Although our technique is ...
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Saddle points in the chaotic analytic function and Ginibre characteristic polynomial
... Figure 1. A sample distribution of zeros and saddles for a caf polynomial with N = 100. The zeros are represented by filled circles and the saddles by empty circles. The large disc has radius 10, indicating the ...
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INVERSION OF THE KINEMATIC CHAIN AND IDENTIFICATION OF ISOMORPHISM BY COMPUTATIONAL METHOD
... Critical study of kinematic chain and mechanism structure has revealed that the performance of the joints is affected by the degree of the links (types of links). For this purpose, a new Joint-Joint [JJ] matrix has been ...
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Eigenvalues and eigenvectors of Brualdi-Li tournament matrices
... the characteristic polynomial and the right(left) eigenvectors of Brualdi-Li tournament matrices by new methods, and that the Brualdi-Li tournament matrix has exactly one positive eigenvalue and exactly one ...
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The Bank Multiplier and A New Mechanism for the Transmission of the Monetary Policy
... The Bank Multiplier and A New Mechanism for the Transmission of the Monetary Policy Nizam, Ahmed Mehedi... ✾ ❋✐❣✉r❡s Inverse Roots of AR Characteristic Polynomial.[r] ...
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Robust Tuning Of Controller For Siso And Mimo Systems Using Coefficient Diagram Method
... target characteristic polynomial of the closed loop system based on performance criteria; such as equivalent time constant, stability indices and stability ...
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Energy of Signed Spongy Hypercubes
... The aim of this section is to find all switching equivalent classes of signed tetrahedron graph . In order to do this , we consider all possible signs of each edge , resulting in 2 cases for which some signs are ...
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A Comparitive Study of a Few Tests for Isomorphism in Planetary Gear Trains
... PGTs. Characteristic polynomial coefficients are used to detect isomorphism in Planetary Gear Trains ...of Characteristic polynomial, Eigen vectors and Eigen value and Hamming number methods ...
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On the number of zeros of linear combinations of independent characteristic polynomials of random unitary matrices
... the characteristic polynomial of a random unitary matrix on the unit circle provides a very accurate model for the value distribution of the Riemann zeta function (or, more generally, L-functions) on the ...
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On coefficients of circuit polynomials and characteristic polynomials
... of nodes in their components, and then use the general expressions for a k, we can obtain results which give the coefficients of the characteristic polynomial of a graph in terms of subg[r] ...
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Rigorous computation of the endomorphism ring of a Jacobian
... In this section, we compute the dimension of the geometric endomorphism algebra of an abelian variety over a finite field from the characteristic polynomial of Frobenius.. We will apply [r] ...
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