BIB-VERSION:: CS-TR-v2.0 ID:: STAN//CS-TR-71-234 ENTRY:: November 01, 1995 ORGANIZATION:: Stanford University, Department of Computer Science TITLE:: Some modified eigenvalue problems TYPE:: Technical Report AUTHOR:: Golub, Gene H. DATE:: August 1971 PAGES:: 38 ABSTRACT:: We consider the numerical calculation of several eigenvalue problems which require some manipulation before the standard algorithms may be used. This includes finding the stationary values of a quadratic form subject to linear constraints and determining the eigenvalues of a matrix which is modified by a matrix of rank one. We also consider several inverse eigenvalue problems. This includes the problem of computing the Gauss-Radau and Gauss-Lobatto quadrature rules. In addition, we study several eigenvalue problems which arise in least squares. NOTES:: [Adminitrivia V1/Prg/19951101] END:: STAN//CS-TR-71-234