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An Inverse Eigenvalue Problem and an Extremal Eigenvalue Problem
1990This 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
1982The 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, 1992Let \({\mathcal T}_ c^ n\) 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, 1978The 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
1981A 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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Navigating financial toxicity in patients with cancer: A multidisciplinary management approach
Ca-A Cancer Journal for Clinicians, 2022Grace Li Smith +2 more
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