A Linear System Arising from a PolynomialProblem and Its Applications
Wen-Xiu Ma , Boris Shekhtman
Chinese Annals of Mathematics, Series B ›› 2007, Vol. 28 ›› Issue (3) : 283 -292.
A Linear System Arising from a PolynomialProblem and Its Applications
A linear system arising from a polynomial problem in the approximation theoryis studied, and the necessary and sufficient conditions for existence and uniqueness of itssolutions are presented. Together with a class of determinant identities, the resulting theoryis used to determine the unique solution to the polynomial problem. Some homogeneouspolynomial identities as well as results on the structure of related polynomial ideals arejust by-products.
Linear system / Determinant identity / Polynomial ideal in two variables / 15A06 / 13P10 / 41A63
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