BIB-VERSION:: CS-TR-v2.0 ID:: STAN//NA-M-86-37 ENTRY:: January 28, 1996 ORGANIZATION:: Stanford University, Department of Computer Science, Numerical Analysis Project TITLE:: A survey of matrix inverse eigenvalue problems TYPE:: Manuscript AUTHOR:: Boley, Daniel L. AUTHOR:: Golub, Gene H. DATE:: November 1986 PAGES:: 30 ABSTRACT:: In this paper, we present a survey of some recent results regarding direct methods for solving certain symmetric inverse eigenvalue problems. The problems we discuss in this paper are those of generating a symmetric matrix, either Jacobi, banded, or some variation thereof, given only some information on the eigenvalues of the matrix itself and some of its principal submatrices. Much of the motivation for the problems discussed in this paper came about from an interest in the inverse Sturm-Liouville problem. A preliminary version of this report was issued as a technical report of the Computer Science Department, University of Minnesota, TR 86-20, May 1986. NOTES:: [Adminitrivia V1/Prg/19960128] END:: STAN//NA-M-86-37