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A rigorous approach was employed for the accurate evaluation of the electromagnetic interaction between a thin metallic rod and a two-dimensional (2D) slotted cavity.
Elena D. Vinogradova, Paul D. Smith
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Complex eigenvalues of random matrices J=GUE+iγdiag(1,0,…,0) provide the simplest model for studying resonances in wave scattering from a quantum chaotic system via a single open channel.
Yan V. Fyodorov +2 more
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A vibrating pylon, modeled as a waveguide, with an attached point mass that is time-varying poses a numerically challenging problem regarding the most efficient way for eigenvalue extraction.
George D. Manolis, Georgios I. Dadoulis
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Complex eigenvalues in Kuryshkin-Wodkiewicz quantum mechanics
One of the possible versions of quantum mechanics, known as Kuryshkin-Wodkiewicz quantum mechanics, is considered. In this version, the quantum distribution function is positive, but, as a retribution for this, the von Neumann quantization rule is ...
Alexander V. Zorin +2 more
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Gershgorin disk theorem in complex interval matrices [PDF]
In this article, the Gershgorin disk theorem in complex interval matrices is proposed for enclosing interval eigenvalues. This is a non-iterative method for finding eigenvalue bounds for both real and imaginary parts.
Suman Maiti, Snehashish Chakraverty
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Pseudo-hermitian random matrix models: General formalism
Pseudo-hermitian matrices are matrices hermitian with respect to an indefinite metric. They can be thought of as the truncation of pseudo-hermitian operators, defined over some Krein space, together with the associated metric, to a finite dimensional ...
Joshua Feinberg, Roman Riser
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Complex eigenvalue analysis has generally been applied to squeal improvement of automotive brake systems in recent years. Discrimination of the occurrence of unstable vibration by modal coupling has become common in brake design.
Hayuru INOUE, Takayoshi KAMADA
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The Sturm–Liouville problem with one classical and another two-point nonlocal boundary condition is considered in this paper. These problems with nonlocal boundary condition are not self-adjoint, so the spectrum has complex points. We investigate how the
Kristina Skučaitė-Bingelė +1 more
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Structure of Eigenvalues of Multi-Point Boundary Value Problems
The structure of eigenvalues of −y″+q(x)y=λy, y(0)=0, and y(1)=∑k=1mαky(ηk), will be studied, where q∈L1([0,1],ℝ), α=(αk)∈ℝm, and 0<η1<⋯ ...
Meirong Zhang, Dongmei Sun, Jie Gao
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Investigation of the spectrum for the Sturm-Liouville problem with one integral boundary condition
In this paper, the Sturm–Liouville problem with one classical first type boundary condition and other nonlocal integral boundary conditions of two cases is investigated.
A. Skučaitė +3 more
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