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iteration

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iteration


  3  definitions  found 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Iteration  \It`er*a"tion\,  n.  [L.  iteratio.] 
  Recital  or  performance  a  second  time;  repetition.  --Bacon. 
 
  What  needs  this  iteration,  woman?  --Shak. 
 
  From  WordNet  r  1.6  [wn]: 
 
  iteration 
  n  :  doing  or  saying  again  [syn:  {reiteration}] 
 
  From  The  Free  On-line  Dictionary  of  Computing  (13  Mar  01)  [foldoc]: 
 
  iteration 
 
    Repetition  of  a  sequence  of  instructions.  A 
  fundamental  part  of  many  {algorithms}.  Iteration  is 
  characterised  by  a  set  of  initial  conditions,  an  iterative 
  step  and  a  termination  condition. 
 
  A  well  known  example  of  iteration  in  mathematics  is 
  Newton-Raphson  iteration.  Iteration  in  programs  is  expressed 
  using  {loops},  e.g.  in  {C}: 
 
  new_x  =  n/2; 
  do 
  { 
  x  =  new_x; 
  new_x  =  0.5  *  (x  +  n/x); 
  }  while  (abs(new_x-x)  >  epsilon); 
 
  Iteration  can  be  expressed  in  functional  languages  using 
  recursion: 
 
  solve  x  n  =  if  abs(new_x-x)  >  epsilon 
  then  solve  new_x  n 
  else  new_x 
  where  new_x  =  0.5  *  (x  +  n/x) 
 
  solve  n/2  n 
 
  (1998-04-04) 
 
 




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