Results 1 to 10 of about 10,062,353 (198)
The Characteristic Polynomial of Projections [PDF]
Linear Algebra and its Applications, 2023 This paper proves that the characteristic polynomial is a complete unitary invariant for pairs of projection matrices. Some special cases involving three or more projections are also considered.
K. Howell, Rongwei Yang
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The Characteristic Polynomial of a Random Matrix [PDF]
Combinatorica, 2020 Form an n × n matrix by drawing entries independently from {±1} (or another fixed nontrivial finitely supported distribution in Z ) and let φ be the characteristic polynomial.
Sean Eberhard
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On the A-characteristic polynomial of a graph [PDF]
Linear Algebra and its Applications, 2017 Let $G$ be a graph with $n$ vertices, and let $A(G)$ and $D(G)$ denote respectively the adjacency matrix and the degree matrix of $G$. Define $$ A_{\alpha}(G)=\alpha D(G)+(1-\alpha)A(G) $$ for any real $\alpha\in [0,1]$.
Xiaogang Liu, Shunyi Liu
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On the Characteristic Polynomial of Linearized Polynomials
CoRRLet $k$ be a finite field, and $L$ be a $q$-linearized polynomial defined over $k$ of $q$-degree $r$ ($L=\sum^r_{i=0}a_iZ^{q^i}$, with $a_i\in k$). This paper provides an algorithm to compute a characteristic polynomial of $L$ over a large extension ...
Luca Bastioni +2 more
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On characteristic polynomial of higher order generalized Jacobsthal numbers
Advances in Difference Equations, 2019 In this paper, we study a higher order generalization of the Jacobsthal sequence, namely, the (k,c) $(k,c)$-Jacobsthal sequence (Jn(k,c)) $(J^{(k,c)}_{n})$ for any integers n, k≥2 $k\geq 2$ and a real number c>0 $c>0$.
Diego Marques, Pavel Trojovský
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The characteristic polynomial of a multiarrangement
Advances in Mathematics, 2007 Given a multiarrangement of hyperplanes we define a series by sums of the Hilbert series of the derivation modules of the multiarrangement. This series turns out to be a polynomial. Using this polynomial we define the characteristic polynomial of a multiarrangement which generalizes the characteristic polynomial of an arragnement.
Takuro Abe +2 more
exaly +4 more sources
The Characteristic Polynomial [PDF]
, 2017 The characteristic polynomial is the basic invariant of an endomorphism of a f.g. free module over a commutative ring A. The Alexander polynomials of knots (Chaps. 17,33) are scaled characteristic polynomials.
C. Godsil
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Inverse counting statistics for stochastic and open quantum systems: the characteristic polynomial approach [PDF]
New Journal of Physics, 2014 We consider stochastic and open quantum systems with a finite number of states, where a stochastic transition between two specific states is monitored by a detector.
M Bruderer +5 more
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Signless Laplacian Polynomial and Characteristic Polynomial of a Graph [PDF]
Journal of Discrete Mathematics, 2013 The signless Laplacian polynomial of a graph is the characteristic polynomial of the matrix , where is the diagonal degree matrix and is the adjacency matrix of .
H. Ramane, S. B. Gudimani, S. S. Shinde
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Extending the Characteristic Polynomial for Characterization of C20 Fullerene Congeners
Mathematics, 2017 The characteristic polynomial (ChP) has found its use in the characterization of chemical compounds since Hückel’s method of molecular orbitals. In order to discriminate the atoms of different elements and different bonds, an extension of the classical ...
Dan-Marian Joiţa, Lorentz Jäntschi
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