Article ID Journal Published Year Pages File Type
4642816 Journal of Computational and Applied Mathematics 2007 13 Pages PDF
Abstract
Let Pn(x)=∑k=0nβkbk,n(x;α,β),βn≠0, where bk,n(x;α,β)≔(α+x)k(β-x)n-k,k=0,1,…,n,α,β∈C,α≠-β, a generalized scaled Bernstein polynomial. Extending a result of Winkler [A resultant matrix for scaled Bernstein polynomials, Linear Algebra Appl. 319 (2000) 179-191] a companion matrix for Pn is given. The application of some matrix methods to this companion matrix yields regions for the zeros of Pn.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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