Title
Arithmetic Continuation of Regular Roots of Formal Parametric Polynomial Systems
Abstract
Given a regular system of polynomial equations with power series coefficients, an initial root is continued as a power series. With the ground domain as an arbitrary field, arithmetic alone is used for the root continuation over this field, and computation is quadratic in the number of computed coefficients. If the power series of the coefficients of the polynomial are geometrically bounded, then the coefficients of the power series of the root are also.
Year
DOI
Venue
1999
10.1023/A:1008684201437
Comp. Opt. and Appl.
Keywords
DocType
Volume
polynomial systems,roots,arithmetic continuation,parametric roots,fields
Journal
12
Issue
ISSN
Citations 
1
1573-2894
0
PageRank 
References 
Authors
0.34
2
2
Name
Order
Citations
PageRank
B. Curtis Eaves129197.15
Uriel G. Rothblum2595125.62