Numerical Computing Test 1 Review February 15, 2021 1. Define the following terms: polynomial interpolation extrapolation rounding IEEE 754 catastrophic cancellation chopping floating point fixed point (numbers) mantissa bit hexadecimal NaN precision accuracy exponent bias guard bits implicit bit (mantissa) 2's complement root-finding bisection method secant method Newton's method Newton-Raphson method linear convergence quadratic convergence interval arithmetic variable precision significant digits significant decimal places Horner's form Chebyshev polynomials minimax polynomial iteration divided differences tableau fixed point (function) Lagrange interpolation polynomial collocation polynomial Taylor polynomial rational function golden section bracketing Newton's interpolation polynomial