Continuous linear combinations of polynomials
Charles Fefferman, J\'anos Koll\'ar (Princeton Univ)
TL;DR
This paper establishes criteria and methods for finding continuous solutions to linear equations with polynomial coefficients, advancing understanding of polynomial-based linear systems.
Contribution
It provides necessary and sufficient conditions and practical methods for solving such polynomial coefficient linear equations continuously.
Findings
Criteria for existence of continuous solutions
Methods for constructing solutions
Enhanced understanding of polynomial linear systems
Abstract
We give necessary and sufficient existence criteria, and methods for finding, continuous solutions of linear equations whose coefficients are polynomials.
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Taxonomy
TopicsPolynomial and algebraic computation · Mathematical functions and polynomials · Advanced Differential Equations and Dynamical Systems