Results 21 to 30 of about 685,182 (317)
On eigenvalues and main eigenvalues of a graph [PDF]
Mathematica Moravica, 2000 Given the eigenvalues of a graph \(G\) on \(n\) vertices, for the \(i\)th eigenvalue of (a) the complement \(\overline G\) of \(G\), (b) the Seidel matrix of \(G\), and (c) a graph switching equivalent to \(G\), an interval containing this eigenvalue is determined. In addition, it is proved that the sum of all main eigenvalues of \(G\) (\(k\) in number)
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Topics on the spectral properties of degenerate non-self-adjoint differential operators
Journal of Inequalities and Applications, 2016 Let ( P u ) ( t ) = − d d t ( ω 2 ( t ) q ( t ) d u ( t ) d t ) $( Pu ) ( t ) =- \frac{d}{dt} ( \omega^{2} ( t ) q ( t ) \frac{du ( t )}{dt} )$ be a degenerate non-self-adjoint operator defined on the space H ℓ = L 2 ( 0 , 1 ) ℓ $H_{\ell} = L^{2} (0,1)^{\
Ali Sameripour, Yousef Yadollahi
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Neumann to Steklov eigenvalues: asymptotic and monotonicity results [PDF]
, 2016 We consider the Steklov eigenvalues of the Laplace operator as limiting Neumann eigenvalues in a problem of mass concentration at the boundary of a ball.
Lamberti, Pier Domenico +1 more
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IEEE Access, 2021 Due to the continuous increase of fuel prices and pollutions, the use of renewable energy especially wind has increased. In developing countries including Egypt, squirrel cage induction generator wind turbine (SCIG- WT) represents a considerable ...
Ahmed A. Salem +3 more
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The Borg’s Theorem for Singular Sturm-Liouville Problem with Non-Separated Boundary Conditions [PDF]
Mathematics Interdisciplinary Research, 2023 In this paper, we consider a Sturm-Liouville equation with non-separated boundary conditions on a finite interval. We discuss some properties of solutions of the Sturm-Liouville equation, where the potential function has a singularity in the ...
Maedeh Bagherzadeh, Abdolali Neamaty
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Singlet states and the estimation of eigenstates and eigenvalues of an unknown Controlled-U gate [PDF]
, 2001 We consider several problems that involve finding the eigenvalues and generating the eigenstates of unknown unitary gates. We first examine Controlled-U gates that act on qubits, and assume that we know the eigenvalues.
A. Peres +6 more
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Universal Behavior of Correlations between Eigenvalues of Random Matrices [PDF]
, 1994 The universal connected correlations proposed recently between eigenvalues of unitary random matrices is examined numerically. We perform an ensemble average by the Monte Carlo sampling.
A. Zee +9 more
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Eigenvalues and pseudo-eigenvalues of Toeplitz matrices
Linear Algebra and its Applications, 1992 The \(\varepsilon\)-pseudo-eigenvalues of an \(N\times N\) matrix \(A\) are those complex numbers \(z\) for which \(\|(zI-A)^{-1}\|_ 2\geq 1/\varepsilon>0\). The authors' results, which are partly empirical, show that, for small \(\varepsilon\) and large \(N\), the \(\varepsilon\)- pseudospectrum of a Toeplitz matrix is roughly the same as the spectrum
Lloyd N. Trefethen, Lothar Reichel
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Courant-sharp eigenvalues for the equilateral torus, and for the equilateral triangle [PDF]
, 2015 We address the question of determining the eigenvalues $\lambda\_n$ (listed in nondecreasing order, with multiplicities) for which Courant's nodal domain theorem is sharp i.e., for which there exists an associated eigenfunction with $n$ nodal domains ...
Bérard, Pierre, Helffer, Bernard
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Diameters and Eigenvalues [PDF]
Journal of the American Mathematical Society, 1989 We derive a new upper bound for the diameter of akk-regular graphGGas a function of the eigenvalues of the adjacency matrix. Namely, suppose the adjacency matrix ofGGhas eigenvaluesλ1,λ2,…,λn{\lambda _1},{\lambda _2}, \ldots ,{\lambda _n}with|λ1|≥|λ2|≥⋯≥|λn|\left | {{\lambda _1}} \right | \geq \left | {{\lambda _2}} \right | \geq \cdots \geq \left | {{\
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