Open AccessWell‐posed Inverse Eigenvalue Problems
Author(s) -
Barcilon Victor
Publication year - 1975
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1975.tb05867.x
Subject(s) - eigenvalues and eigenvectors , inverse problem , mathematics , inverse , inverse iteration , mathematical analysis , well posed problem , physics , geometry , quantum mechanics
Summary Inverse eigenvalue problems associated with self‐adjoint differential equations of order two or higher are considered. The question of what kind of data are necessary and sufficient to insure the existence of a unique solution is examined. A method of solution for well‐posed inverse eigenvalue problems is then presented. The implications of this analysis to the inverse problem for the Earth's spheroidal modes of vibration is also discussed.