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 Title: Explicit Dynamic Quadratic Programming
          creating Fibonacci number and Golden ratio
 by  Seiichi Iwamoto, Yutaka Kimura and Masami Yasuda

 Abstract:
       We list several classes of Dynamic Programming, especially,
 Linear Quadratic Control problem.  These are simple optimizations
 but interesting since they are related to famous subjects:
 (1) Division of numbers with quadratic criterion.
 (2) Golden optimal solution in quadratic programming.
 (3) Matrix of threefold diagonal form with Fibonacci components.
 (4) Multi-variate stopping with a monotone rule
      for three persons.
 These are basically connected with Fibonacci Number and
 Golden Ratio, which means recurrence, iterative structure,
 duality and so on.
 == end  ==================================================