Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   present a new method for enclosing all the real roots in a bounded box of a system of n elementary-algebraic equations depending on n variables. This system is denoted by h(x)=P(x,f1(x1),...,fk(x1),f1(x2),...,fk(xn)), where x=(x1,x2,...,xn) ∈ Rn, P is a system of polynomials depending on n+kn variables and the univariate functions fi are “simple”. This method arises from the exclusion method of Dedieu and Yakoubsohn.  provide both a theoretical complexity bound and some numerical experiments.
['Aude Maignan']
I am writing a research paper on a idea Real Solving of Elementary-Algebraic Systems
[{"from": "human", "value": "I am writing a research paper on a idea Real Solving of Elementary-Algebraic Systems"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   present a new method for enclosing all the real roots in a bounded box of a system of n elementary-algebraic equations depending on n variables. This system is denoted by h(x)=P(x,f1(x1),...,fk(x1),f1(x2),...,fk(xn)), where x=(x1,x2,...,xn) \u2208 Rn, P is a system of polynomials depending on n+kn variables and the univariate functions fi are \u201csimple\u201d. This method arises from the exclusion method of Dedieu and Yakoubsohn.  provide both a theoretical complexity bound and some numerical experiments."}]