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Staircase Algorithm and Boundary Valued Convex Interpolation by Gregory’s Splines

  • Jochen W. Schmidt
Conference paper

Abstract

In 1984, the staircase algorithm was introduced as an abstract concept for solving weakly coupled systems of inequalities. Originally this algorithm was described by means of projections of relations. Recently a composition based form was proposed allowing further applications. Now, using this new proposal we derive a concrete algorithm for the problem of boundary valued convex interpolation applying Gregory’s rational cubic splines. It turns out that these splines always guarantee success under natural compatibility conditions.

Keywords

Rationality Parameter Spline Interpolation Strict Convexity Convex Position Convexity Relation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Jochen W. Schmidt
    • 1
  1. 1.Institute of Numerical MathematicsTechnical University of DresdenDresdenGermany

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