Permanent problem IDPPL 087
Numerical analysis
For a polynomial p of degree at most n at the specified Gauss or Radau nodes, prove the reverse-Markov bounds in Hager’s statement: p(−1)=0 and bounded nodal derivatives should force bounded nodal values.
For a polynomial p of degree at most n at the specified Gauss or Radau nodes, prove the reverse-Markov bounds in Hager’s statement: p(−1)=0 and bounded nodal derivatives should force bounded nodal values.
The first correct solution wins under the concise conditions in the author’s prize PDF.
The prize PDF is dated 2015. A 2026 University of Florida migration page still lists it, but the sponsor should reconfirm before reliance.