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Numerical solution of inverse nodal problem with an eigenvalue in the boundary condition

Inverse Problems in Science and Engineering, 2016
In this study, we consider Sturm–Liouville problem with a boundary condition depending on spectral parameter. We apply the nodal points as input data and calculate the approximate solution of the inverse nodal problem using Chebyshev polynomials of the first kind. Finally, we illustrate the numerical results by providing several examples.
A. Neamaty, Sh. Akbarpoor
openaire   +1 more source

Numerical Solution of the Inverse Eigenvalue Problem for Real Symmetric Toeplitz Matrices

SIAM Journal on Scientific Computing, 1997
Summary: A new algorithm is given to compute the elements of a real symmetric Toeplitz matrix when the eigenvalues are given. It is a Newton method that gets the next iteration by means of a similarity transformation. Good starting points are determined using the fact that the spectrum consists of two interlacing sets of eigenvalues with even and odd ...
openaire   +1 more source

Inverse norm estimation of perturbed Laplace operators and corresponding eigenvalue problems

Computers and Mathematics With Applications, 2022
Kouta Sekine   +2 more
exaly  

The Formulation and Analysis of Numerical Methods for Inverse Eigenvalue Problems

SIAM Journal on Numerical Analysis, 1987
Shmuel Friedland, Michael L Overton
exaly  

Solutions of the Partially Described Inverse Quadratic Eigenvalue Problem

SIAM Journal on Matrix Analysis and Applications, 2007
Wen-Wei Lin, Shu-Fang Xu
exaly  

Verified numerical computations for an inverse elliptic eigenvalue problem with finite data

Japan Journal of Industrial and Applied Mathematics, 2001
Yoshitaka Watanabe   +2 more
exaly  

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