The power of combining the techniques of algebraic and numerical computing: improved approximate multipoint polynomial evaluation and improved multipole algorithms

V.Y Pan,J.H Reif,S.R Tate

doi:10.1109/sfcs.1992.267780

The power of combining the techniques of algebraic and numerical computing: improved approximate multipoint polynomial evaluation and improved multipole algorithms

V.Y Pan, J.H Reif + Show 1 more

https://doi.org/10.1109/sfcs.1992.267780

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Publication Date: Jan 1, 1992

Citations: 12

#Set Of Real Points #Polynomial Evaluation + Show 8 more

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Abstract

The authors demonstrate the power of combining the techniques of algebraic computation with ones of numerical computation. They do this by improving the known methods for polynomial evaluation on a set of real points and for simulation of n charged particles on the plane. In both cases they approximate (rather than exactly compute) the solutions and do this by exploiting algebraic techniques of the algorithm design.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>

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