# Search

Now showing items 11-15 of 15

### A Comparison of Two Proofs of Yamamoto's Theorem Relating Eigenvalue Moduli and Singular Values of a Matrix

(2008-09-09)

We examine two proofs of Yamamoto’s theorem regarding the asymptotic relationship
between singular values and eigenvalue moduli of a matrix. The first proof is by T.
Yamamoto in 1967 and makes use of compound matrices. ...

### Triangle Centers and Kiepert's Hyperbola

(2008-09-09)

In this paper, we discuss the proofs of the primary classical triangle centers and Kiepert's Hyperbola as a solution to Lemoine's Problem. The definitions of terms which will be used throughout the paper are presented. ...

### The Triangle Intersection Problem For Hexagon Triple Systems

(2008-09-09)

The Triangle Intersection Problem for Hexagon Triple Systems
Carl S. Pettis, Auburn University
A hexagon triple is the graph
and a hexagon triple system is an edge disjoint decomposition of ...

### On Frobenius numbers in three variables

(2008-09-09)

Given a set of relatively prime positive integers
$\{a_1,a_2,\ldots, a_n\}$, after some point all positive integers are representable as a linear combination of the set with nonnegative coefficients. Which integer is the ...

### On the Spectrum of Minimal Covers By Triples

(2008-09-09)

A Minimal Cover by Triples is an ordered pair (V,T) where V is a finite set and T is a
collection of three element subsets of V with two properties. First, that every pair of elements
of V appear together in at least ...