MASALAH EIGEN DAN EIGENMODE MATRIKS ATAS ALJABAR MIN-PLUS
Eigen problems and eigenmode are important components related to square matrices. In max-plus algebra, a square matrix can be represented in the form of a graph called a communication graph.
Eka Widia Rahayu+2 more
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Expansions for eigenfunction and eigenvalues of large-$n$ Toeplitz matrices [PDF]
This paper constructs methods for finding convergent expansions for eigenvectors and eigenvalues of large-$n$ Toeplitz matrices based on a situation in which the analogous infinite-$n$ matrix would be singular. It builds upon work done by Dai, Geary, and
Leo P. Kadanoff
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Spectral properties for a type of heptadiagonal symmetric matrices
In this paper we expressed the eigenvalues of a sort of heptadiagonal symmetric matrices as the zeros of explicit rational functions establishing upper and lower bounds for each of them. From the prescribed eigenvalues, we computed eigenvectors for these
João Lita da Silva
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Dual-feature spectrum sensing exploiting eigenvalue and eigenvector of the sampled covariance matrix
The signal can be charactered by both eigenvalues and eigenvectors of covariance matrix. However, the existing detection methods only exploit the eigenvalue or eigenvector.
Yanping Chen, Yulong Gao
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Dynamic Analysis for Soil - Structure Systems Using Dynamic Stiffness [PDF]
This paper gives exact dynamic stiffness coefficient for beam element with axial force embedded in elastic medium having normal and tangential soil reactions . These moduli of subgrade reactions are assumed to be constants along the length of the element
Mohamad Essa
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Computation of entanglement entropy in inhomogeneous free fermions chains by algebraic Bethe ansatz
The computation of the entanglement entropy for inhomogeneous free fermions chains based on $q$-Racah polynomials is considered. The eigenvalues of the truncated correlation matrix are obtained from the diagonalization of the associated Heun operator via
Pierre-Antoine Bernard, Gauvain Carcone, Nicolas Crampé, Luc Vinet
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Some properties on extended eigenvalues and extended eigenvectors
In this paper, the study extended eigenvalues and extended eigenvectors, and we will investigate the and give for some concepts properties and result important, also we will find the and on the space, so U is Unilateral shift operator and .
Laith K. Shaakir, Anas A. Hijab
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Fast and accurate con-eigenvalue algorithm for optimal rational approximations [PDF]
The need to compute small con-eigenvalues and the associated con-eigenvectors of positive-definite Cauchy matrices naturally arises when constructing rational approximations with a (near) optimally small $L^{\infty}$ error. Specifically, given a rational
Beylkin, G., Haut, T. S.
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Simple eigenvectors of unbounded operators of the type “normal plus compact” [PDF]
The paper deals with operators of the form \(A=S+B\), where \(B\) is a compact operator in a Hilbert space \(H\) and \(S\) is an unbounded normal one in \(H\), having a compact resolvent.
Michael Gil'
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A diffusive matrix model for invariant $\beta$-ensembles [PDF]
We define a new diffusive matrix model converging towards the $\beta$-Dyson Brownian motion for all $\beta\in [0,2]$ that provides an explicit construction of $\beta$-ensembles of random matrices that is invariant under the orthogonal/unitary group.
Allez, Romain, Guionnet, Alice
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