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Reports (Research Report) Year : 1995

On Integer Chebyshev Polynomials

, (1)
1
Laurent Habsieger
• Function : Author
Bruno Salvy

Abstract

We are concerned with the problem of minimizing the supremum norm on [0,1] of a nonzero polynomial of degree at most $n$ with integer coefficients. We use the structure of such polynomials to derive an efficient algorithm for computing them. We give a table of these polynomials for degree up to 75 and use a value from this table to answer an open problem and improve a lower bound from~[3]

Dates and versions

inria-00074042 , version 1 (24-05-2006)

Identifiers

• HAL Id : inria-00074042 , version 1

Cite

Laurent Habsieger, Bruno Salvy. On Integer Chebyshev Polynomials. [Research Report] RR-2648, INRIA. 1995. ⟨inria-00074042⟩

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