CompSciWeek11

From Predictive Chemistry
Revision as of 12:24, 3 November 2014 by David M. Rogers (talk | contribs) (Class 1)

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Class 1

  • Tensor Manipulations - distance distributions in random point set exercise
  • Rodrigues' Rotation Formula - the preferred method when you have to work with an angle.
  • Matrix Multiplication
    • Basic linear algebra operations
    • Timing Strassen (see also Winograd)

Class 2

  • Implicit solutions to linear algebraic equations
    • Least-squares fitting
    • Repetition for point sets - project out and re-fit
    • Review projection and orthogonality (see also Gram-Schmidt)
    • Solution by factorization + forward / reverse substitution
  • Minimization the hard way - nonlinear problems Optimize
    • Transcendental problem, 5th order polynomials, etc.
    • Geodesic paths via numerical optimization