Algorithmic Stability in Nonlinear Optimization

Felgenhauer U.: Algorithmic stability analysis for certain trust region methods, in: Mathematical Programming with Data Perturbation, ed. A.V. Fiacco, Lect. Notes in Pure Appl. Math., 195, Marcel Dekker Inc., New York, 1998, pp. 109-131.

Burdakov O.P.,Felgenhauer U.: Stable multipoint secant methods with released requirements to points position, in: Proc. 16th IFIP-TC7 Conference on System Modelling and Optimization; Compiegne (France) 1993, eds. J.Henry, J.-P.Yvon; Lect. Notes in Control and Inf. Sci. 197; Springer Verl., London 1994, 225-236.

Felgenhauer U.: Stabilizing properties of descent step lengths, Proc. "`Parametric Optimization and Related Topics III"', Güstrow 1991, eds. F.Deutsch, B.Brosowski, J.Guddat; Ser. Approximation and Optimization, Peter Lang Publ. House Frankfurt, 1993, 135-146.

Felgenhauer U.: On the stable global convergence of particular quasi-Newton methods, Optimization (J. Math.Progr.Oper.Res.); vol.26, 1992, 97-113.

Felgenhauer U.: Quasi-Newton descent methods with inexact gradients, Proc. 16. Sympos. Operations Research, Trier 1991, "Physica"-Verlag; 83-86.

Felgenhauer U.: On stable convergence of secant methods with projected updates, Zhurnal vych. matem. i mat. fiziki, 31, 1991, 5, 654-662.

Felgenhauer U.: Regularisierte Aufdatierung der Cholesky - Zerlegung bei Rang-1- Modifikation von Matrizen, Wiss. Zeitschrift TU Magdeburg, 33, 1989, 6, 89-91.

Felgenhauer U.: Eine Variante der ableitungsfreien Quadratsummenminimierung, Wiss. Zeitschrift TU Magdeburg, 31, 1987, 5, 22-25.