Author:
Chu Moody T.,Golub Gene H.
Abstract
An inverse eigenvalue problem concerns the reconstruction of a structured
matrix from prescribed spectral data. Such an inverse problem arises in many
applications where parameters of a certain physical system are to be determined
from the knowledge or expectation of its dynamical behaviour. Spectral
information is entailed because the dynamical behaviour is often governed by
the underlying natural frequencies and normal modes. Structural stipulation
is designated because the physical system is often subject to some feasibility
constraints. The spectral data involved may consist of complete or only partial
information on eigenvalues or eigenvectors. The structure embodied by the
matrices can take many forms. The objective of an inverse eigenvalue problem
is to construct a matrix that maintains both the specific structure as well as
the given spectral property. In this expository paper the emphasis is to provide
an overview of the vast scope of this intriguing problem, treating some of its
many applications, its mathematical properties, and a variety of numerical
techniques.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Numerical Analysis
Cited by
137 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献