Conference paper
Wavefront and caustic surfaces of refractive laser beam shaper
David L. Shealy, John A. Hoffnagle
SPIE Optical Engineering + Applications 2007
We consider algebraic functions that are rational functions of roots (of various degrees) of rational functions of indeterminates. We associate a cost C(d) with the extraction of a dth root and assume that C satisfies certain natural axioms. We show that the minimum cost of computing a finite set of algebraic functions of the form considered is C(d1) + ... + C(dr), where d1...dr are the torsion orders of the Galois group of the extension generated by the functions. © 1981.
David L. Shealy, John A. Hoffnagle
SPIE Optical Engineering + Applications 2007
Tong Zhang, G.H. Golub, et al.
Linear Algebra and Its Applications
M.B. Small, R.M. Potemski
Proceedings of SPIE 1989
Charles Micchelli
Journal of Approximation Theory