Open AccessOn the Solution of Inverse Eigenvalue Problems of high Orders
Author(s) -
Barcilon Victor
Publication year - 1974
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1974.tb05444.x
Subject(s) - eigenvalues and eigenvectors , inverse problem , inverse , mathematics , inverse iteration , class (philosophy) , inverse theory , mathematical analysis , physics , geometry , computer science , meteorology , quantum mechanics , deformation (meteorology) , artificial intelligence
Summary A general technique for solving a large class of well‐posed inverse eigenvalue problems is illustrated by means of a specific example. The example considered consists in reconstructing the coefficients p(x) and q(x) associated with the eigenvalue problem u(4)‐(pu′ )′+ qu =λ u from a knowledge of three spectra.