pdf-file, 2.03 Mbyte - Torsten Schütze
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Literaturverzeichnis 113<br />
[Mul90] B. Mulansky. Glättung mittels zweidimensionaler Tensorprodukt-Splinefunktionen.<br />
Wiss. Z. Tech. Univ. Dresden, 39:187–190, 1990.<br />
[Mul92] B. Mulansky. Necessary conditions for local best Chebyshev approximations by splines<br />
with free knots. In D. Braess and L. L. Schumaker, editors, Numerical Methods of<br />
Approximation Theory, volume 9 of International Series of Numerical Mathematics,<br />
pages 195–206. Birkhäuser, 1992.<br />
[Mul97] B. Mulansky. Tensor products of convex cones. In G. Nürnberger, J. W. Schmidt,<br />
and G. Walz, editors, Multivariate Approximation and Splines, ISNM, pages 167–176.<br />
Birkhäuser, Basel, 1997.<br />
[Nür96] G. Nürnberger. Bivariate segment approximation and free knot splines: Research problems<br />
96-4. Constr. Approx., 12:555–558, 1996.<br />
[OO88] G. Opfer and H. J. Oberle. The derivation of cubic splines with obstacles by methods<br />
of optimization and optimal control. Numer. Math., 52:17–31, 1988.<br />
[Pai73] C. C. Paige. An error analysis of a method for solving matrix equations. Math. Comp.,<br />
27:355–359, 1973.<br />
[Par85] T. A. Parks. Reducible Nonlinear Programming Problems. PhD thesis, Houston Univ.,<br />
Dept. of Mathematics, Houston, 1985.<br />
[Pig91] T. Pigorsch. Bivariate Quadratmittelapproximation unter Verwendung von Tensorprodukt-B-Splines<br />
im Falle von Rechteckgitterdaten. Diplomarbeit, Martin-Luther-<br />
Universität Halle-Wittenberg, 1991.<br />
[Rei67] C. H. Reinsch. Smoothing by spline functions. Numer. Math., 10:177–183, 1967.<br />
[Rei71] C. H. Reinsch. Smoothing by spline functions II. Numer. Math., 16:451–454, 1971.<br />
[Ric69] J. R. Rice. The Approximation of Functions II. Addison Wesley, Reading, Massachusetts,<br />
1969.<br />
[Rie95] K. S. Riedel. Piecewise convex function estimation and model selection. In C. K. Chui<br />
and L. L. Schumaker, editors, Proc. of Approximation Theory VIII, pages 467–475.<br />
World Scientific Pub., 1995.<br />
[RW80] A. Ruhe and P. Å. Wedin. Algorithms for separable nonlinear least squares problems.<br />
SIAM Rev., 22(3):318–337, 1980.<br />
[Sau72] M. A. Saunders. Large-scale linear programming using the Cholesky factorization.<br />
Technical Report Report No. CS252, Computer Science Dept., Stanford Univ., 1972.<br />
[SB92] Y. W. Soo and D. M. Bates. Loosely coupled nonlinear least squares. Computational<br />
Statistics and Data Analysis, 14:249–259, 1992.<br />
[Sch64] I. J. Schoenberg. On interpolation by spline functions and its minimal properties. In<br />
P. L. Butzer and J. Korevaar, editors, On Approximation Theory, volume 5 of Internat.<br />
Ser. Numer. Math., pages 109–129. Birkhäuser, Basel-Stuttgart, 1964.<br />
[Sch81] L. L. Schumaker. Spline Functions: Basic Theory. John Wiley and Sons, New York,<br />
1981. Reprint Edition by Krieger Publ., 1993.<br />
[Sch90] J. W. Schmidt. Monotone data smoothing by quadratic splines via dualization. Z.<br />
Angew. Math. Mech., 70:299–307, 1990.<br />
[Sch91] H. Schwetlick. Nichtlineare Parameterschätzung: Modelle, Schätzkriterien und numerische<br />
Algorithmen. GAMM-Mitteilungen, 2/91:13–51, 1991.<br />
[Sch92a] J. W. Schmidt. Dual algorithms for solving convex partially separable optimization<br />
problems. Jber. d. Dt. Math.-Verein., 94:40–62, 1992.