Skip to Main Content

Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


A nearest point algorithm for convex polyhedral cones and applications to positive linear approximation
HTML articles powered by AMS MathViewer

by Don R. Wilhelmsen PDF
Math. Comp. 30 (1976), 48-57 Request permission


Suppose K is a convex polyhedral cone in ${E_n}$ and is defined in terms of some generating set $\{ {e_1},{e_2}, \ldots ,{e_N}\}$. A procedure is devised so that, given any point $q \in {E_n}$, the nearest point p in K to q can be found as a positive linear sum of ${N^\ast } \leqslant n$ points from the generating set. The procedure requires at most finitely many linear steps. The algorithm is then applied to find a positive representation \[ Lf = \sum \limits _{i = 1}^{{N^\ast }} {{\lambda _i}f({x_i}),} \quad {\lambda _i} > 0,f \in \Phi ,\] for a positive linear functional L acting on a suitable finite-dimensional function space $\Phi$.
Similar Articles
  • Retrieve articles in Mathematics of Computation with MSC: 52A25, 65D99
  • Retrieve articles in all journals with MSC: 52A25, 65D99
Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Math. Comp. 30 (1976), 48-57
  • MSC: Primary 52A25; Secondary 65D99
  • DOI:
  • MathSciNet review: 0394439