108 Kapitel 5. Zusammenfassung und Ausblick
Literaturverzeichnis [ABF86] M. Al-Baali and R. Fletcher. An efficient line search for nonlinear least squares. J. Optim. Theory Appl., 48(3):359–377, 1986. [ADLM90] E. Arge, M. Dæhlen, T. Lyche, and K. Mørken. Constrained spline approximation of functions and data based on constrained knot removal. In J. C. Mason and M. G. Cox, editors, Algorithms for Approximation II, pages 4–20. Chapman and Hall, 1990. [AE87] L. E. Andersson and T. Elfving. An algorithm for constrained interpolation. SIAM J. Sci. Statist. Comp., 8(6):1012–1025, 1987. [AE91] L. E. Andersson and T. Elfving. Interpolation and approximation by monotone cubic splines. J. Approx. Theory, 66:302–333, 1991. [AE95] L. E. Andersson and T. Elfving. Best constrained approximation in Hilbert space and interpolation by cubic splines subject to obstacles. SIAM J. Sci. Comput., 16(5):1209– 1232, 1995. [Bai94] M. J. Baines. Algorithms for optimal discontinuous piecewise linear and constant L2 fits to continuous functions with adjustable nodes in one and two dimensions. Math. Comput., 62(206):645–669, 1994. [Bjö87] Å. Björck. Stability analysis of the method of seminormal equations for linear least squares problems. Linear Algebra Appl., 88/89:31–48, 1987. [Bjö96] Å. Björck. Numerical methods for least squares problems. SIAM, Philadelphia, 1996. [Boc87] H. G. Bock. Randwertproblemmethoden zur Parameteridentifizierung in Systemen nichtlinearer Differentialgleichungen (Habilitationsschrift). Bonner Mathematische Schriften Nr.183, Universität Bonn, 1987. [Bre90] K. Brenner. Bivariate Quadratmittelapproximation mittels glättender Tensorprodukt- B-Splines. Diplomarbeit, Martin-Luther-Universität Halle/Wittenberg, 1990. [BS78] D. L. Barrow and P. W. Smith. Asymptotic properties of best L2[0, 1] approximation by splines with variable knots. Quart. Appl. Math., 36:293–304, 1978. [CF85] R. E. Carlson and F. N. Fritsch. Monotone piecewise bicubic interpolation. SIAM J. Numer. Anal., 22(2):386–400, 1985. [CJ87] M. G. Cox and H. Jones. Shape-preserving spline approximation in the l1 norm. In J. C. Mason and M. G. Cox, editors, Algorithms for approximation, pages 115–129. Clarendon Press, Oxford, 1987. [Cor81] C. Corradi. A note on the solution of separable nonlinear least squares problems with separable nonlinear equality constraints. SIAM J. Numer. Anal., 18:1134–1138, 1981. [Cox81] M. G. Cox. The least squares solution of overdetermined linear equations having band or augmented band structure. IMA J. Numer. Anal., 1:3–22, 1981. 109