Alan K. Cline

David Bruton, Jr. Centennial Professor in Computer Sciences; Professor of Mathematics

B.S. in Applied Mathematics (1967),
M.A. in Mathematics (1968),
Ph.D. in Mathematics (1970)
University of Michigan

Professional Service

Areas of Interest

Mathematical software and numerical analysis

Summary of Research

I am interested in the transformation of mathematics into tools which can be applied to scientific problems. This involves the construction of mathematical software and the exploration of methodologies for mathematical software. In particular, my major software development has been a package of over one hundred subprograms for curve and surface fitting employing tension splines.

Selected Recent Publications

R. J. Renka and A. K. Cline, "Scattered data fitting using a constrained Delaunay Triangulation," in IMACS Transactions on Scientific Computing 91, AI, Expert Systems, and Symbolic Computation, vol. 3, North Holland, 1992.

A. K. Cline, D. H. King, and J. M. Meyering, "Routing and scheduling coast guard buoy tenders," Interfaces, vol. 22, pp. 56-72, 1992.

A. K. Cline and R. J. Renka, "A constrained two dimensional triangulation and the solution of closest node problems in the presence of barriers," SIAM Journal of Numerical Analysis, vol. 27, pp. 1305-1321, 1990.

A. K. Cline and R. K. Rew,"A set of counter-examples to three condition number estimators," SIAM Journal of Scientific and Statistical Computing, vol. 4, pp. 602-611, 1983.

A. K. Cline, C. B. Moler, G. W. Stewart, and J. H. Wilkinson, "An estimate for the condition number of a matrix," SIAM Journal of Numerical Analysis, vol. 16, pp. 368-375, 1979.

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