TY  - BOOK
AU  - Mora,Teo
TI  - Solving polynomial equation systems
T2  - Encyclopedia of mathematics and its applications
SN  - 9781139015998 (ebook)
AV  - QA218 .M64 2015
U1  - 512.9/4 21
PY  - 2015///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Equations
KW  - Numerical solutions
KW  - Polynomials
KW  - Iterative methods (Mathematics)
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - This third volume of four finishes the program begun in Volume 1 by describing all the most important techniques, mainly based on Gröbner bases, which allow one to manipulate the roots of the equation rather than just compute them. The book begins with the 'standard' solutions (Gianni-Kalkbrener Theorem, Stetter Algorithm, Cardinal-Mourrain result) and then moves on to more innovative methods (Lazard triangular sets, Rouillier's Rational Univariate Representation, the TERA Kronecker package). The author also looks at classical results, such as Macaulay's Matrix, and provides a historical survey of elimination, from Bézout to Cayley. This comprehensive treatment in four volumes is a significant contribution to algorithmic commutative algebra that will be essential reading for algebraists and algebraic geometers
UR  - https://doi.org/10.1017/CBO9781139015998
ER  -