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Now showing items 1-10 of 115

#### A Korovkin theorem for AL-spaces

(University of Canterbury. Dept. of Mathematics, 1982)

#### Takenings, rames and mills : structures for the modelling of branching

(University of Canterbury. Dept. of Mathematics, 1987)

A takening is a combinatorial structure composed of points and rays. A ray is a finite sequence of at least two points, and two rays have at most one point in common, which must be the foot (initial point) of at least ...

#### A supertree method for rooted trees

(University of Canterbury. Dept. of Mathematics, 1999)

The amalgamation of leaf-labelled (phylogenetic) trees on overlapping leaf sets into one (super)tree is a central problem in several areas of
classification, particularly evolutionary biology. In this paper, we describe ...

#### Group divisible designs with two associate classes

(University of Canterbury. Dept. of Mathematics, 1995)

The work in this research report was done while visiting The University of Canterbury, and was completed jointly in cooperation with H.L. Fu and D. Sarvate. These results
follow upon previous efforts where we were ...

#### Infinite antichains of matroids with characteristic set {p}

(University of Canterbury, 1999)

For each prime p, we construct an infinite antichain of matroids in
which each matroid has characteristic set {p}. For p=2, each of the matroids
in our antichain is an excluded minor for the class of matroids representable ...

#### Non-classical 4-dimensional Minkowski planes obtained as brothers of semiclassical 4-dimensional Laguerre planes

(University of Canterbury. Dept. of Mathematics, 1998)

We describe the first non-classical 4-dimensional Minkowski planes and show that they have 6-dimensional automorphism groups. These planes are obtained
by a construction of Schroth [18] from generalized quadrangles ...

#### A family of Minkowski planes over half-ordered fields

(University of Canterbury. Dept. of Mathematics, 1996)

This paper concerns a construction of J. Jakóbowski [7] of Minkowski planes over half-ordered fields. A more group theoretic definition of such planes is given.
Isomorphisms between and automorphisms of these Minkowski ...

#### On the Condition Number Distribution of Complex Wishart Matrices

(University of Canterbury. Electrical and Computer EngineeringUniversity of Canterbury. Mathematics and Statistics, 2010)

This paper investigates the distribution of the condition
number of complex Wishart matrices. Two closely related
measures are considered: the standard condition number (SCN)
and the Demmel condition number (DCN), both ...

#### Fast evaluation of radial basis functions : methods for four-dimensional polyharmonic splines

(University of Canterbury. Department of Mathematics & Statistics, 2000)

As is now well known for some basic functions ϕ, hierarchical and fast multipole like
methods can greatly reduce the storage and operation counts for fitting and evaluating radial
basis functions. In particular for spline ...

#### Uniform diagonalisation of matrices over regular rings

(University of Canterbury. Dept. of Mathematics and Statistics, 2000)

The fundamental Separativity Problem for vorrNeumann regular rings is shown
to be equivalent to a linear algebra problem: for a field F, is there a "uniform formula"
for diagonalising a 2 x 2 matrix A over Mn(F), ...