15 citations · 21 across the 6 of their papers we have counts for
6 papers
The fundamental equations for inversion of operator pencils on Banach space
Amie Albrecht, Phil Howlett, Charles Pearce
We prove that the resolvent of a linear operator pencil is analytic on an open annulus if and only if the coefficients of the Laurent series satisfy a system of fundamental equatio…
The Granger-Johansen representation theorem for integrated time series on Banach space
Phil Howlett, Brendan Beare, Massimo Franchi +2
We prove an extended Granger-Johansen representation theorem (GJRT) for finite or infinite order integrated autoregressive time series on Banach space. We assume only that the reso…
An explicit Maclaurin series solution to a classic non-autonomous abstract evolution equation
Andrew Bassom, Phil Howlett, Peter Taylor
It is well known that the non-autonomous scalar differential equation of evolution has a unique solution given by an elementary exponential function. In general there is no such an…
Optimal driving strategies for a fleet of trains on level track with prescribed intermediate signal times and safe separation
Amie Albrecht, Phil Howlett, Peter Pudney
We propose an analytic solution to the problem of finding optimal driving strategies that minimize total tractive energy consumption for a fleet of trains travelling on the same tr…
Optimal splitting of Parseval frames using Walsh matrices
Amie Albrecht, Phil Howlett, Geetika Verma
In 2014 Adam Marcus, Daniel Spielman and Nikhil Srivastava used random vectors to prove a key discrepancy theorem and in so doing gave a positive answer to the long-standing Kadiso…
Inversion of operator pencils on Banach space using Jordan chains when the generalized resolvent has an isolated essential singularity
Amie Albrecht, Phil Howlett, Geetika Verma
We assume that the generalized resolvent for a bounded linear operator pencil mapping one Banach space onto another has an isolated essential singularity at the origin and is analy…