Technische Universit at ChemnitzSonderforschungsbereich 393

The recursive inverse eigenvalue problem for matrices is studied, where for each leading principle submatrix an eigenvalue and associated left and right eigenvectors are assigned. Existence and uniqueness results as well as explicit formulas are proven, and applications to nonnegative matrices, Zmatrices, M -matrices, symmetric matrices, Stieltjes matrices and inverse M -matrices are considered. Authors: Marina Arav Department of Mathematics, Technion Haifa 32000 Israel Daniel Hershkovitz1 Department of Mathematics, Technion Haifa 32000 Israel Volker Mehrmann1 Fakult at f ur Mathematik, TU Chemnitz, D-09107 Chemnitz, FRG. Hans Schneider1 Mathematics Department, University of Wisconsin, Madison, WI 53706, USA. 1Partial support received through Sonderforschungsbereich 393 Numerische Simulation auf massiv parallelen Rechnern at TU Chemnitz.