Results 1 to 10 of about 173,375 (235)

Inverse Eigenvalue Problems for Two Special Acyclic Matrices

Mathematics, 2016
In this paper, we study two inverse eigenvalue problems (IEPs) of constructing two special acyclic matrices. The first problem involves the reconstruction of matrices whose graph is a path, from given information on one eigenvector of the required matrix
Debashish Sharma, Mausumi Sen
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The adaptive finite element method for the Steklov eigenvalue problem in inverse scattering

Open Mathematics, 2020
In this study, for the first time, we discuss the posteriori error estimates and adaptive algorithm for the non-self-adjoint Steklov eigenvalue problem in inverse scattering.
Zhang Yu, Bi Hai, Yang Yidu
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Ambarzumian's theorem for trees

Electronic Journal of Differential Equations, 2007
The classical Ambarzumian's Theorem for Schrodinger operators $-D^2 + q$ on an interval, with Neumann conditions at the endpoints, says that if the spectrum of $(-D^2+q)$ is the same as the spectrum of $(-D^2)$ then $q=0$.
Vyacheslav Pivovarchik, Robert Carlson
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On Certain Translation Invariant Properties of Interior Transmission Spectra and Their Doppler’s Effect

Advances in Mathematical Physics, 2017
We study the translation invariant properties of the eigenvalues of scattering transmission problem. We examine the functional derivative of the eigenvalue density function Δ(x^) to the defining index of refraction n(x).
Lung-Hui Chen
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Solutions of a Quadratic Inverse Eigenvalue Problem for Damped Gyroscopic Second-Order Systems

Journal of Applied Mathematics, 2014
Given k pairs of complex numbers and vectors (closed under conjugation), we consider the inverse quadratic eigenvalue problem of constructing n×n real matrices M, D, G, and K, where M>0, K and D are symmetric, and G is skew-symmetric, so that the ...
Hong-Xiu Zhong, Guo-Liang Chen, Xiang-Yun Zhang   +2 more
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Construction of 4 x 4 symmetric stochastic matrices with given spectra

Open Mathematics
The symmetric stochastic inverse eigenvalue problem (SSIEP) asks which lists of real numbers occur as the spectra of symmetric stochastic matrices. When the cardinality of a list is 4, Kaddoura and Mourad provided a sufficient condition for SSIEP by a ...
Jung Jaewon, Kim Donggyun
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Inverse Extremal Eigenvalue Problems for Multi-Arrowhead Pentadiagonal Matrices

Mathematics
We address the inverse extremal eigenvalue problem (IEEP) for multi-arrowhead pentadiagonal matrices, a structured class that combines pentadiagonal bandwidth with an alternating arrowhead structure.
Susana Arela-Pérez, Hector Flores Callisaya, Hans Nina, Hubert Pickmann-Soto   +3 more
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The Computational Solution of Generalized Inverse Eigenvalue Problem for Pseudo-Jacobi Matrix

Journal of Mathematics
This paper is concerned with two generalized inverse eigenvalue problems for a kind of pseudo-Jacobi matrix. From a non-Hermite matrix, an r×r Jacobi matrix, two distinct real eigenvalues, and part of the corresponding eigenvectors, an n×n pseudo-Jacobi ...
Fuxia Yi, Enhua Li
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Efficient free vibration analysis of large structures with close or ultiple natural frequencies. Part II: Damped structures

Computer Assisted Methods in Engineering and Science, 2023
An efficient solution method is presented to solve the eigenvalue problem arising in the dynamic analysis of nonproportionally damped structural systems with close or multiple eigenvalues. The proposed method is obtained by applying the modified Newton-
In-Won Lee, Hyung-Jo Jung, Man-Cheol Kim
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Updating a map of sufficient conditions for the real nonnegative inverse eigenvalue problem

Special Matrices, 2019
The real nonnegative inverse eigenvalue problem (RNIEP) asks for necessary and sufficient conditions in order that a list of real numbers be the spectrum of a nonnegative real matrix.
Marijuán C., Pisonero M., Soto Ricardo L.   +2 more
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