Results 51 to 60 of about 2,643,042 (116)
Independence and orthogonality of algebraic eigenvectors over the max-plus algebra [PDF]
arXiv, 2021 The max-plus algebra $\mathbb{R}\cup \{-\infty \}$ is a semiring with the two operations: addition $a \oplus b := \max(a,b)$ and multiplication $a \otimes b := a + b$. Roots of the characteristic polynomial of a max-plus matrix are called algebraic eigenvalues.
arxiv
Algebraic Bethe ansatz for the Temperley–Lieb spin-1 chain
Nuclear Physics B, 2016 We use the algebraic Bethe ansatz to obtain the eigenvalues and eigenvectors of the spin-1 Temperley–Lieb open quantum chain with “free” boundary conditions.
Rafael I. Nepomechie, Rodrigo A. Pimenta
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Generalization of the Analytical Exponential Model for Homogeneous Reactor Kinetics Equations
Journal of Applied Mathematics, 2012 Mathematical form for two energy groups of three-dimensional homogeneous reactor kinetics equations and average one group of the precursor concentration of delayed neutrons is presented.
Abdallah A. Nahla, Mohammed F. Al-Ghamdi
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IEEE Access, 2020 Based on the first-order Taylor expansion, an efficient Rigorous Coupled-Wave Analysis (RCWA) for one-dimensional ultrathin periodic structures is proposed in this paper.
Jie Li +8 more
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A homotopy method for finding eigenvalues and eigenvectors [PDF]
arXiv, 2007 Suppose we want to find the eigenvalues and eigenvectors for the linear operator L, and suppose that we have solved this problem for some other "nearby" operator K. In this paper we show how to represent the eigenvalues and eigenvectors of L in terms of the corresponding properties of K.
arxiv
High dimensional normality of noisy eigenvectors [PDF]
arXiv, 2020 We study joint eigenvector distributions for large symmetric matrices in the presence of weak noise. Our main result asserts that every submatrix in the orthogonal matrix of eigenvectors converges to a multidimensional Gaussian distribution. The proof involves analyzing the stochastic eigenstate equation (SEE) which describes the Lie group valued flow ...
arxiv
Partial eigenvalue assignment problem of linear control systems using orthogonality relations [PDF]
Acta Montanistica Slovaca, 2006 The partial eigenvalue assignment is the problem of reassigning a part of the open-loop spectrum of a linear system by a feedback control, leaving the rest of the spectrum invariant.
Mohamed A. Ramadan, Ehab A. El - Sayed
doaj
The eigenvectors of the right-justified Pascal triangle [PDF]
arXiv, 2000 We find the eigenvalues and eigenvectors of the n by n matrix with (i,j) entry \binom(i-1,n-j), establishing a conjecture of Peele and Stanica. Curiously, the eigenvectors can be chosen to form a matrix which is its own inverse.
arxiv
Spectra of chains connected to complete graphs [PDF]
arXiv, 2020 We characterize the spectrum of the Laplacian of graphs composed of one or two finite or infinite chains connected to a complete graph. We show the existence of localized eigenvectors of two types, eigenvectors that vanish exactly outside the complete graph and eigenvectors that decrease exponentially outside the complete graph.
arxiv
Complex modal analysis of structural vibration and acoustic radiation of plates
Journal of Low Frequency Noise, Vibration and Active ControlInhomogeneous damping distribution leads to the occurrence of complex modes of structures. Complex modes' vibration and acoustic radiation characteristics are different from real modes.
Lai Wei, Sheng Li
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