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-- File: Jacobi.cdl
-- Created: Tue May 14 18:21:21 1991
-- Author: Laurent PAINNOT
-- <lpa@topsn3>
---Copyright: Matra Datavision 1991, 1992
class Jacobi from math
---Purpose:
-- This class implements the Jacobi method to find the eigenvalues and
-- the eigenvectors of a real symmetric square matrix.
-- A sort of eigenvalues is done.
uses Vector from math,
Matrix from math,
OStream from Standard
raises NotDone from StdFail
is
Create(A: Matrix)
---Purpose:
-- Given a Real n X n matrix A, this constructor computes all its
-- eigenvalues and eigenvectors using the Jacobi method.
-- The exception NotSquare is raised if the matrix is not square.
-- No verification that the matrix A is really symmetric is done.
returns Jacobi;
IsDone(me)
---Purpose: Returns true if the computations are successful, otherwise returns false.
---C++: inline
returns Boolean
is static;
Values(me)
---Purpose: Returns the eigenvalues vector.
-- Exception NotDone is raised if calculation is not done successfully.
---C++: inline
---C++: return const&
returns Vector
raises NotDone
is static;
Value(me; Num: Integer)
---Purpose: returns the eigenvalue number Num.
-- Eigenvalues are in the range (1..n).
-- Exception NotDone is raised if calculation is not done successfully.
---C++: inline
returns Real
raises NotDone
is static;
Vectors(me)
---Purpose: returns the eigenvectors matrix.
-- Exception NotDone is raised if calculation is not done successfully.
---C++: inline
---C++: return const&
returns Matrix
raises NotDone
is static;
Vector(me; Num: Integer; V : out Vector)
---Purpose: Returns the eigenvector V of number Num.
-- Eigenvectors are in the range (1..n).
-- Exception NotDone is raised if calculation is not done successfully.
---C++: inline
raises NotDone
is static;
Dump(me; o: in out OStream)
---Purpose: Prints information on the current state of the object.
-- Is used to redefine the operator <<.
is static;
fields
Done: Boolean;
AA: Matrix;
NbRotations: Integer;
EigenValues: Vector;
EigenVectors: Matrix;
end Jacobi;
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