Results 251 to 260 of about 180,050 (282)

On matrix inverse eigenvalue problems

Inverse Problems, 1998
Results are presented regarding the inverse problem for a multiparameter perturbed linear operator on \(\mathbb{C}^n\). [Cf. \textit{F. V. Atkinson}, Multiparameter eigenvalue problems. Volume I: Matrices and compact operators. (1972; Zbl 0555.47001).] Given an \((n,n)\) matrix (i) \(A(t_1,\dots, t_n)= C_0+ \sum^n_{i=1} t_iC_i\) with eigenvalues ...
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An Inverse Eigenvalue Problem and an Extremal Eigenvalue Problem

1990
This talk presents results for two inverse problems which arise in the study of vibrating systems. The first problem (Part I) extends the theory of second order inverse eigenvalue problems in one dimension and is joint work with Carol Coleman. The second problem (Part II) solves an identification problem for composite membranes in n-dimensions; this ...
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Higher order inverse eigenvalue problems

1982
The problem to be discussed is as follows. Suppose a mathematical model for a given physical problem results in a self-adjoint eigenvalue problem of the form $$\begin{gathered}w(4) + (Aw(1))(1) + Bw - \lambda w = 0 \hfill \\\sum\limits_{i = 1}^4 {\alpha _{ij} w(i - 1)(0) = 0 = } \sum\limits_{i = 1}^4 {\beta _{ij} w(i - 1)(1),j = 1,2.} \hfill \\\end{
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Inverse Eigenvalue Problems for Symmetric Toeplitz Matrices

SIAM Journal on Matrix Analysis and Applications, 1992
Let \({\mathcal T}_ c^ n\) and \({\mathcal T}_ r^ n\) be the linear spaces of complex symmetric and real symmetric Toeplitz matrices, respectively. The inverse eigenvalue problem for symmetric complex-valued Toeplitz matrices (IEPSCTM) consists of finding \(T\in {\mathcal T}_ c^ n\) with prescribed \(n\) complex eigenvalues \(\{\sigma_ 1,\dots,\sigma_ ...
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An Inverse Eigenvalue Problem for Random Matrices

SIAM Journal on Applied Mathematics, 1978
The mean and variance of the top eigenvalue of a discrete version of the operator $ - \nabla ^2 + q$ are shown to be sufficient to determine the mean of the random vector q.
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Fourth Order Inverse Eigenvalue Problems

1981
A well posed inverse eigenvalue problem is discussed here. It i s assumed that two positive sequences λ 1 2 … and ϕ 1 , ϕ 2 , … are given which have prescribed asymptotic forms. Construction of unique coefficients A(s) ɛ C 3 [0,1], B(s) ɛ C 1 [0,1] which depend continuously on the sequences λ i , ϕ i , i = 1,2,3 …, is given.
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Inverse Eigenvalue Problems

2005
Moody Chu, Gene Golub
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Further results on inverse eigenvalue problem for mass–spring–inerter systems

Mechanical Systems and Signal Processing, 2023
Zhaobo Liu, Qida Xie, 婵颖 李
exaly  

Inverse eigenvalue problem for mass–spring–inerter systems

Mechanical Systems and Signal Processing, 2022
Zhaobo Liu, Qida Xie, 婵颖 李
exaly  

The inverse eigenvalue problem of a graph: Multiplicities and minors

Journal of Combinatorial Theory Series B, 2020
Leslie Hogben, Jephian C-H Lin, Shaun Fallat   +2 more
exaly