The classical problem of solving an nth degree polynomial equation has substantially
influenced the development of mathematics throughout the centuries and still has several …

Our goal is to provide an introduction to the study of minimal energy problems, particularly
from the perspective of generating point configurations that provide useful discretizations of …

This textbook covers both direct and iterative methods for the solution of linear systems, least
squares problems, eigenproblems, and the singular value decomposition. Earlier versions …

Some of these problems are well known. In fact, included are what I believe to be the three
greatest open problems of mathematics: the Riemann Hypothesis, the Poincar~ Conjecture …

-'. B. SAFF AND ABJ KUIJLAAR, c he problem of distributing a large number of points
uniformly over the surface of a tsphere has not only inspired mathematical researchers, it …

This book gathers threads that have evolved across different mathematical disciplines into
seamless narrative. It deals with condition as a main aspect in the understanding of the …

We investigate the energy of arrangements of $ N $ points on the surface of a sphere in
${\bold R}^ 3$, interacting through a power law potential $ V= r^\alpha $, $-2<\alpha< 2 …

To study a geometric model of the human spine we are led to finding a constrained minimum
of a real valued function defined on a product of special orthogonal groups. To take …

ON THE EFFICIENCY OF ALGORITHMS OF ANALYSIS CONTENTS 1. Introduction. 2. On
Efficient Zero Finding. 3. On the Efficiency of Line Page 1 BULLETIN (New Series) OF THE …

An ordered tree is a tree in which each node's incident edges are cyclically ordered; think of
the tree as being embedded in the plane. Let A and B be two ordered trees. The edit …