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arxiv: 1707.09109 · v1 · pith:4IJT3DXRnew · submitted 2017-07-28 · 💻 cs.NA · cs.NA

The Convergence of Least-Squares Progressive Iterative Approximation with Singular Iterative Matrix

Hongwei Lin , Qi Cao , Xiaoting Zhang This is my paper
classification 💻 cs.NA cs.NA
keywords iterativeleast-squareslspiamatrixapproximationconvergentdengprogressive
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Developed in [Deng and Lin, 2014], Least-Squares Progressive Iterative Approximation (LSPIA) is an efficient iterative method for solving B-spline curve and surface least-squares fitting systems. In [Deng and Lin 2014], it was shown that LSPIA is convergent when the iterative matrix is nonsingular. In this paper, we will show that LSPIA is still convergent even the iterative matrix is singular.

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