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pdf-file, 2.03 Mbyte - Torsten Schütze

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Literaturverzeichnis 111<br />

[Eub88] R. L. Eubank. Spline Smoothing and Nonparametric Regression, volume 90 of Statistics,<br />

textbooks and monographs. Marcel Dekker, New York, 1988.<br />

[FF94] D. W. Fausett and C. T. Fulton. Large least squares problems involving Kronecker<br />

products. SIAM J. Matrix Anal. Appl., 15(1):219–227, 1994.<br />

[Fia76] A. V. Fiacco. Sensitivity analysis for nonlinear programming using penalty methods.<br />

Math. Prog., 10:287–311, 1976.<br />

[Fia83] A. V. Fiacco. Introduction to Sensitivity and Stability Analysis in Nonlinear Programming.<br />

Academic Press, 1983.<br />

[FOP91] B. Fischer, G. Opfer, and M. L. Puri. A local algorithm for constructing non-negative<br />

cubic splines. J. Approx. Theory, 64:1–16, 1991.<br />

[GK92] D. M. Gay and L. Kaufman. Tradeoffs in algorithms for separable nonlinear least squares.<br />

In Computational and Applied Mathematics, I. Algorithms and Theory, Selected<br />

Papers IMACS 13th World Congress, Dublin, Ireland, 1991, pages 179–183, 1992.<br />

[GL79] G. H. Golub and R. J. LeVeque. Extensions and uses of the variable projection algorithm<br />

for solving nonlinear least squares problems. In Proc. 1979 Army Numerical Analysis<br />

and Computer Science Conference, Army Research Office, 1979.<br />

[GMSW86] P. E. Gill, W. Murray, M. A. Saunders, and M. H. Wright. User’s guide for NPSOL<br />

(version 4.0): A Fortran package for nonlinear programming. Tech. Report SOL 86-2,<br />

Department of Operations Research, Standford University, 1986.<br />

[GP73] G. H. Golub and V. Pereyra. The differentiation of pseudoinverses and nonlinear least<br />

squares problems whose variables separate. SIAM J. Numer. Anal., 10:413–432, 1973.<br />

[GP76] G. H. Golub and V. Pereyra. Differentiation of pseudoinverses, separable nonlinear<br />

least squares problems and other tales. In M. Nashed, editor, Generalized Inverses and<br />

Applications, pages 303–324. Academic Press, New York, 1976.<br />

[Gra90] A. Grace. Optimization Toolbox User’s Guide. The MathWorks, Inc., 1990.<br />

[Gre91] H. Greiner. A survey on univariate data interploation and approximation by splines of<br />

given shape. Math. Comput. Modelling, 15:97–106, 1991.<br />

[Han92] P. C. Hansen. Analysis of discrete ill-posed problems by means of the L-curve. SIAM<br />

Review, 34(4):561–580, 1992.<br />

[HF79] J. N. Holt and R. Fletcher. An algorithm for constrained nonlinear least squares. J.<br />

Inst. Math. Appl., 23:449–463, 1979.<br />

[HH74] J. G. Hayes and J. Halliday. The least-squares fitting of cubic spline surfaces to general<br />

data sets. J. Inst. Math. Appl., 14:89–103, 1974.<br />

[Hig96] N. J. Higham. Accuracy and Stability of Numerical Algorithms. SIAM, Philadelphia,<br />

1996.<br />

[Hor78] U. Hornung. Monotone Spline-Interpolation. In Numerische Methoden der Approximationstheorie,<br />

volume 42 of ISNM, pages 172–191. Birkhäuser, Basel, 1978.<br />

[HS85] C. L. Hu and L. L. Schumaker. Bivariate natural spline smoothing. In G. Meinardus and<br />

G. Nürnberger, editors, Delay Equations, Approximation and Applications, Mannheim<br />

1994, volume 74 of ISNM, pages 165–179. Birkhäuser, 1985.<br />

[HS86] C. L. Hu and L. L. Schumaker. Complete spline smoothing. Numer. Math., 49(1):1–10,<br />

1986.<br />

[Hu93] Y. Hu. An algorithm for data reduction using splines with free knots. IMA J. Numer.<br />

Anal., 13(3):365–381, 1993.

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