Heng Cao, Haifeng Xi, et al.
WSC 2003
We estimate the probability that a given number of projective Newton steps applied to a linear homotopy of a system of n homogeneous polynomial equations in n + 1 complex variables of fixed degrees will find all the roots of the system. We also extend the framework of our analysis to cover the classical implicit function theorem and revisit the condition number in this context. Further complexity theory is developed.
Heng Cao, Haifeng Xi, et al.
WSC 2003
A.R. Gourlay, G. Kaye, et al.
Proceedings of SPIE 1989
Satoshi Hada
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Leo Liberti, James Ostrowski
Journal of Global Optimization