File: polar.cat

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polar(1)                       Scilab Function                       polar(1)
NAME
  polar - polar form

CALLING SEQUENCE
  [Ro,Theta]=polar(A)

PARAMETERS

  A    : real or complex square matrix

  Ro, Theta
       : real matrices

DESCRIPTION
  [Ro,Theta]=polar(A) returns the polar form of A i.e.:

  A=Ro*expm(%i*Theta) Ro symmetric >=0 and Theta hermitian >=0.

EXAMPLE
  A=rand(5,5);
  [Ro,Theta]=polar(A);
  norm(A-Ro*expm(%i*Theta),1)

SEE ALSO
  expm, svd

AUTHOR
  F. D.