APPROXIMATION BY POLYGONAL ARCS WITH RESPECT TO EUCLIDEAN NORM.

摘要

To approximate a given set of data by a polygonal arc with a priori break points by minimizing the Euclidean norm over the class of all such polygonal arcs leads to solving a system of 3n-1linear equations. In this note the problem is reduced to inverting a tridiagonal,symmetric matrix of order n-1. (Author)