DAVID McCRAE AITKEN

Index-doubling in sequences by Aitken extrapolation

Aitken extrapolation, applied to certain sequences, yields the evennumbered subsequence of the original. We prove that this is true for sequences generated by iterating a linear fractional transformation, and for some sequences of convergents of the regular continued fractions of certain quadratic irrational numbers.

Aitken Sequences and Generalized Fibonacci Numbers

Consider the sequence (t>„) generated by t>„+ ¡ = avn bv,l_l, n 5¡ 2, where v¡ = 1, t>2 = a, with a and b real, of which the Fibonacci sequence is a special case. It is shown that if Aitken acceleration is used on the sequence (x„) defined by a„ = v„+1/v„, the resulting sequence is a subsequence of (jc„). Second, if Newton's method and the secant method are used (with suitable starting values) ...

Quantitative Mineralogy of South Pole - Aitken Basin

David Thaw

David Foster

Research Interest:-Cancer Biology The goal of our research effort is to understand the biology of cancer cells. From an understanding of the defects in a cancer cell, rational strategies for treatment can be developed.