Numerical Methods.

Computing with real numbers on a machine that cannot hold them: floating point, error, solvers and the conditions under which they converge. Covers 8 sub-skills.

• Numerical Methods · 1 of 3

  Linear Systems

  What is a singular matrix?

  AOne with more than one inverseBOne with a unique inverseCOne with no inverse at allDOne with a diagonal of zeros

• Numerical Methods · 2 of 3

  Interpolation & Fitting

  What decides whether extrapolation is safe?

  AThe model behind the dataBThe format they are held inCThe spacing of the points usedDThe count of points supplied

• Numerical Methods · 3 of 3

  Floating Point Representation

  Does compensated summation remove all rounding error?

  ANo, it recovers most of itBYes, it removes it fullyCNo, it recovers none of itDYes, once the terms are sorted