NDLI: A simple homotopy method for determining all isolated solutions to polynomial systems

Content Provider	Semantic Scholar
Author	Zulehner, Walter
Copyright Year	1988
Abstract	A new homotopy method for solving systems of polynomial equations is presented. The homotopy equation is extremely simple: It is linear with respect to the homotopy parameter and only one auxiliary parameter is needed to regularize the problem. Within some limits, an arbitrary starting problem can be chosen, as long as its solution set is known. No restrictions on the polynomial systems are made. A few numerical tests are reported which show the influence of the auxiliary parameter, resp. the starting problem, upon the computa- tional cost of the method.
Starting Page	167
Ending Page	177
Page Count	11
File Format	PDF HTM / HTML
DOI	10.1090/S0025-5718-1988-0917824-7
Volume Number	50
Alternate Webpage(s)	http://www.ams.org/journals/mcom/1988-50-181/S0025-5718-1988-0917824-7/S0025-5718-1988-0917824-7.pdf
Alternate Webpage(s)	https://doi.org/10.1090/S0025-5718-1988-0917824-7
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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