Abstract.The full-rank LDL* decomposition of a polynomial Hermitian matrix is examined. Explicit formulae are given evaluating the coefficients of matrices 𝑙𝑖𝑗 and 𝑑𝑗𝑗. Also, a new method is ...
On considère la représentation d'un polynôme à plusieurs variables comme une somme de polynômes à une variable en combinaisons linéaires des variables. One considers representation of a polynomial in ...
Cylindrical Algebraic Decomposition (CAD) is a pivotal algorithmic technique in real algebraic geometry, instrumental in resolving problems expressed in a first‐order language over the reals. By ...
Before being mortally wounded in a duel at age 20, Évariste Galois discovered the hidden structure of polynomial equations. By studying the relationships between their solutions — rather than the ...
New work establishes a tighter connection between the rank of a polynomial and the extent to which it favors particular outputs. When you deposit a quarter and turn the crank on a gumball machine, the ...
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