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Now showing items 31-40 of 379

#### 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), ...

#### Tree reconstruction via a closure operation on partial splits

(University of Canterbury, 1999)

A fundamental problem in biological classification is the reconstruction
of phylogenetic trees for a set X of species from a collection of either
subtrees or qualitative characters. This task is equivalent to tree ...

#### Spatial Point Processes and Moment Dynamics in the Life Sciences: A Parsimonious Derivation and Some Extensions

(University of Canterbury. Dept. of Mathematics and Statistics, 2015)

Mathematical models of dynamical systems in 6 the life sciences typically assume that biological systems are spatially well mixed (the mean-field assumption). Even spatially explicit differential equation models typically ...

#### Statistics for environmental monitoring

(University of Canterbury. Dept. of Mathematics and Statistics, 2002)

Environmental studies can be broadly categorised as either:
i) Observational experiments, or
ii) Manipulative experiments.
An observational experiment is one where the data is collected by observing some existing
process ...

#### Bounding probabilities in a Markovian model of character evolution

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

We investigate a probability-based model of character evolution. Using Erdos-Szekely path systems, a sharp upper bound for the probability of a given character
evolving under this model is obtained in terms of its parsimony ...

#### Oblique wave groups in deep water

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

Oblique wave groups consist of waves whose straight parallel lines of constant phase are oblique to the straight parallel lines of constant
phase of the group. Numerical solutions for periodic oblique wave groups
with ...

#### Equivalent methods for global optimization

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

The envelope used by the algorithm of Breiman and Cutler [4] can be smoothed to create a better algorithm. This is equivalent to an accelerated algorithm
developed by the third author and Cutler in [3] using envelopes ...

#### A new measure of growth for countable-dimensional algebras II

(University of Canterbury. Dept. of Mathematics, 1993)

A new dimension function on countable-dimensional algebras (over a field) was introduced in the first paper I, by means of certain infinite matrix representations. Here we show that its
dimension values for finitely ...