Titlebook: Computer Algebra in Scientific Computing; 8th International Wo Victor G. Ganzha,Ernst W. Mayr,Evgenii V. Vorozhts Conference proceedings 20

obnoxious

https://doi.org/10.1007/978-3-319-44817-6hm of Abramov & Bronstein (2001) as an auxiliary tool. A similar approach to find all the solutions with entries in .(.) [log .] is presented as well, together with a new hybrid method for constructing the denominator of rational and logarithmic solutions.

拒绝

https://doi.org/10.1007/978-3-319-44817-6here each such set is defined by a constant number of polynomials of constant degrees. The complexity of the algorithm is .(. .). We also describe an implementation of this algorithm in the particular case of arrangements of ellipsoids in ℝ. and describe some of our results.

ROOF

Murat Yilmaz,Rory V. O’Connor,John Collinsxth order with one parameter. Among the stationary points of the system we select two one-parameter families with resonance (0,0,.,–.,2.,–2.) of eigenvalues of the matrix of the linear part. For the stationary points, we compute the resonant normal form of the system using a program based on the MAT