Accession Number : ADA262336


Title :   Some Inverse Problems for Jacobi and Arrow Matrices


Descriptive Note : Technical rept. Jul-Sep 92


Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CA DEPT OF MATHEMATICS


Personal Author(s) : Borgeds, Carlos ; Frezza, Ruggero ; Gragg, William B


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a262336.pdf


Report Date : 13 Oct 1992


Pagination or Media Count : 14


Abstract : We consider the problem of reconstructing Jacobi matrices and real symmetric arrow matrices from two eigenpairs. Algorithms for solving these inverse problems are presented. We show that there are reasonable conditions under which this reconstruction is always possible. Moreover, it is seen that in certain cases reconstruction can proceed with little or no cancellation. The algorithm is particularly elegant for the tridiagonal matrix associated with a bidiagonal singular value decomposition.... Jacobi matrix, Arrow matrix, Inverse problems.


Descriptors :   *INVERSION , ALGORITHMS , VALUE , DECOMPOSITION , CANCELLATION


Subject Categories : Numerical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE