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- W2144678313 abstract "Let P n ( x ) = ∑ k = 0 n β k b k , n ( x ; α , β ) , β n ≠ 0 , where b k , 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 P n is given. The application of some matrix methods to this companion matrix yields regions for the zeros of P n ." @default.
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- W2144678313 date "2007-09-01" @default.
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- W2144678313 title "Scaled generalized Bernstein polynomials and containment regions for the zeros of polynomials" @default.
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- W2144678313 doi "https://doi.org/10.1016/j.cam.2006.06.013" @default.
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