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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Invariant Subspaces: An Alternative for Introducing Eigenvectors and Eigenvalues
The concepts of eigenvalue and eigenvector are typically approached algorithmically in introductory linear algebra courses. However, a more conceptual orientation involves connecting these notions to the concept of one-dimensional invariant subspace ...
Gisela Camacho, Asuman Oktaç
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Eigenvalues and eigenvectors of supermatrices [PDF]
Let \(\Lambda\) be a Grassmann algebra over the complex numbers, generated by a finite or infinite number of odd elements. Let \(\Lambda_ 0\) be the even part and \(\Lambda_ 1\) the odd part of \(\Lambda\). Let \(M=\left( \begin{matrix} A\quad B\\ C\quad D\end{matrix} \right)\) be an \(n\times n\) supermatrix where A and D are square with elements in \(
Kobayashi, Yuji, Nagamachi, Shigeaki
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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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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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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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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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