Equations I

1:30 PM-3:30 PM

*Room: Atlanta 4*

*Chair: William W. Hager, University of Florida, Gainesville*

**1:30-1:45 Iterative Methods for Nearly Singular Linear Systems**

- William W. Hager, University of Florida, Gainesville

**1:50-2:05 A Stable Resultant Algorithm for Algebraic Equation**

- Gudbjörn Jónsson, and
*Stephen A. Vavasis*, Cornell University

**2:10-2:25 The Behavior of Newton's Method on Two Equivalent Systems in Linear and Nonlinear Programming**

*Cristina Villalobos*, Richard Tapia, and Yin Zhang, Rice University

**2:30-2:45****Using the Nonlinear L-curve for Solving Discrete Ill-Posed Nonlinear Systems**

*Tomas Vlklands*, Jerry Eriksson, Mårten Gulliksson, and Per-Åke Wedin, Umeå University, Sweden

**2:50-3:05 Solving Systems of Nonlinear Equations Using Monomial Approximations**

*Scott A. Burns*and Keith M. Mueller, University of Illinois, Urbana-Champaign

**3:10-3:25 A New Code for Solving Polynomial Systems of Equations**

- Steven
M. Wise, Naval Surface Warfare Center; Andrew J. Sommese, University
of Notre Dame, and
*Layne T. Watson*, Virginia Polytechnic Institute and State University

*MMD, 5/10/99*