Formal and convergent solutions of analytic equations
Arkadiusz Ploski
TL;DR
This paper presents a detailed proof of a strengthened version of the Artin Approximation Theorem, enhancing understanding of solutions to analytic equations.
Contribution
It offers a rigorous proof of a stronger form of the Artin Approximation Theorem, advancing theoretical knowledge in analytic equations.
Findings
Proof of a strengthened Artin Approximation Theorem
Enhanced conditions for convergent solutions
Theoretical advancement in analytic equation solutions
Abstract
We provide the detailed proof of a strengthened version of the M. Artin Approximation Theorem.
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Taxonomy
TopicsPolynomial and algebraic computation · Advanced Optimization Algorithms Research