Skip to main content

Research Repository

Advanced Search

Hyper-heuristics. (2005)
Book Chapter
Ross, P. (2005). Hyper-heuristics. In E. Burke, & G. Kendall (Eds.), Search Methodologies: Introductory Tutorials in Optimization and Decision Support Techniques (529-556). Springer-Verlag

This chapter introduces and overviews an emerging methodology in search and optimisation. One of the key aims of these new approaches, which have been termed hyper-heuristics, is to raise the level of generality at which optimisation systems can oper... Read More about Hyper-heuristics..

Vector continued fraction algorithms. (1996)
Book Chapter
Roberts, D. E. (1996). Vector continued fraction algorithms. In R. Ablamowicz, P. Lounesto, & J. M. Parra (Eds.), Clifford algebras with numeric and symbolic computations (111-119). Birkhauser Verlag AG. https://doi.org/10.1007/978-1-4615-8157-4_7

We consider the construction of rational approximations to given power series whose coefficients are vectors. The approximants are in the form of vector-valued continued fractions which may be used to obtain vector Pade
approximants using recurrence... Read More about Vector continued fraction algorithms..

On the algebraic foundations of the vector epsilon-algorithm. (1995)
Book Chapter
Roberts, D. E. (1995). On the algebraic foundations of the vector epsilon-algorithm. In R. Ablamowicz, & P. Lounesto (Eds.), Clifford algebras and spinor structures: A special volume dedicated to the memory of Albert Crumeyrolle (1919-1992) (343-361). Kluwer Academic

We review the Clifford algebraic foundations of versions of the vector epsilon-algorithm. This involves the formation of rational approximants to vector-valued functions defined by a power series. We summarise their properties and demonstrate how a s... Read More about On the algebraic foundations of the vector epsilon-algorithm..