Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642816 | Journal of Computational and Applied Mathematics | 2007 | 13 Pages |
Abstract
Let Pn(x)=âk=0nβkbk,n(x;α,β),βnâ 0, where bk,n(x;α,β)â(α+x)k(β-x)n-k,k=0,1,â¦,n,α,βâC,αâ -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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Hansjörg Linden,