Publications on Constrained Interploation and Smoothing

1. H.-D. Qi and X.Q. Yang
   Regularity and well-posedness of a dual program for convex best $C^1$-spline interpolation
   Computational Optimzation and Applications, 37, pp. 409--425, 2007.
2. H.-D. Qi and X.Q. Yang
   Armijo Newton method for convex best interpolation
   Optimization Methods and Software, 2006 (21), pp. 179--200.
3. H.-D. Qi
   Some theoretical aspects on Newton's method for constrained best interpolation
   "Continuous Optimization: Current Trends and Modern Applications" (edited by A. Rubinov and V. Jeyakumar), pp. 23--49. Springer (2005).
4. H.-D. Qi and L. Qi
   Finite termination of a dual Newton method for convex best $C^1$ interpolation and smoothing
   Numerische Mathematik, 96 (2003), 317--337.
5. A.L. Dontchev, H.-D. Qi, and L. Qi
   Quadratic convergence of Newton's method for convex interpolation and smoothing
   Constructive Approximation 19 (2003), pp. 123-143.
6. A.L. Dontchev, H.-D. Qi, L. Qi and H. Yin
   A Newton method for shape-preserving spline interpolation
   SIAM J. Optimization 13 (2002), pp. 588-602.
7. A.L. Dontchev, H.-D. Qi and L. Qi
   Quadratic convergence of Newton's method for constrained interpolation
   Approximation Theory X: Wavelets, Splines, and Applications, (2002), pp. 261--270.
   Charles K. Chui, Larry L. Schumaker, and Joachim Stoeckler (eds.) Vanderbilt University Press, Nashville, TN.
8. A.L. Dontchev, H.-D. Qi and L. Qi
   Convergence of Newton's methods for convex best interpolation
   Numerische Mathematik, 87 (2001), pp. 435-456.