Choose all the correct statements: O A. evaluation of a degree n polynomial at a given point is unstable for large n B. the original Lagrange form of polynomial interpolation is good for computer...


Choose all the correct statements:<br>O A. evaluation of a degree n polynomial at a given point is unstable for large n<br>B. the original Lagrange form of polynomial interpolation is good for computer implementation<br>O C. piecewise interpolation and Chebyshev interpolation are two approaches to avoiding the Runge phenomenon<br>D. one should not use high degree polynomial for interpolation because the Runge phenomenon shows that is impossible<br>

Extracted text: Choose all the correct statements: O A. evaluation of a degree n polynomial at a given point is unstable for large n B. the original Lagrange form of polynomial interpolation is good for computer implementation O C. piecewise interpolation and Chebyshev interpolation are two approaches to avoiding the Runge phenomenon D. one should not use high degree polynomial for interpolation because the Runge phenomenon shows that is impossible

Jun 05, 2022
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