MFAlgebraicMF
[MFImplicitMF]

Collaboration diagram for MFAlgebraicMF:

Functions
MFImplicitMF	MFIMFCreateAlgebraicExpressionWithRadius (char *vars, char *expression, double R, MFErrorHandler e)
	Create an algebraic system of nonlinear equations from an expression in a string. This uses the ExpCmp utility which is pert of multifario.
MFImplicitMF	MFIMFCreateAlgebraicExpression (char *vars, char *expression, MFErrorHandler e)
	Create an algebraic system of nonlinear equations from an expression in a string. This uses the ExpCmp utility which is pert of multifario.
MFImplicitMF	MFIMFCreateAlgebraicSubroutine (int n, int k, void(*F)(int *, double *, int *, double *), void(*dF)(int *, double *, int *, double *), MFErrorHandler e)
	This constructor creates a nonlinear set of equations defined by the subroutine F.
MFImplicitMF	MFIMFCreateAlgebraicSubroutineWithRadius (int n, int k, void(*F)(int *, double *, int *, double *), void(*dF)(int *, double *, int *, double *), double R, MFErrorHandler e)
	This constructor is exactly the same as calling MFIMFCreateAlgebraicSiubroutine and then MFIMFSetR.

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Function Documentation

MFImplicitMF MFIMFCreateAlgebraicExpression (  char *  vars, char *  expression, MFErrorHandler  e )

Create an algebraic system of nonlinear equations from an expression in a string. This uses the ExpCmp utility which is pert of multifario. Parameters: vars  A string containing a list of the variables used in the expression. e.g. "[x,y,z]". expression  A string containing an expression for the function value in terms of the variables in the first argeument. e.g. "[sin(x),1+z*y]". e  A place to return errors. Returns: An implicitly defined manifold.

MFImplicitMF MFIMFCreateAlgebraicExpressionWithRadius (  char *  vars, char *  expression, double  R, MFErrorHandler  e )

Create an algebraic system of nonlinear equations from an expression in a string. This uses the ExpCmp utility which is pert of multifario. Parameters: vars  A string containing a list of the variables used in the expression. e.g. "[x,y,z]". expression  A string containing an expression for the function value in terms of the variables in the first argeument. e.g. "[sin(x),1+z*y]". R  The radius. e  A place to return errors. Returns: An implicitly defined manifold.

MFImplicitMF MFIMFCreateAlgebraicSubroutine (  int  n, int  k, void(*)(int *, double *, int *, double *)  F, void(*)(int *, double *, int *, double *)  dF, MFErrorHandler  e )

This constructor creates a nonlinear set of equations defined by the subroutine F. Parameters: n  The embedding dimension (the dimension of the range of F). k  The dimension of the solution manifold (the dimension of the range of F is n+k). F  A subroutine that evaluates F. dF  A subroutine that evaluates dF/du. e  A place to return errors. Returns: An implicitly defined manifold.

MFImplicitMF MFIMFCreateAlgebraicSubroutineWithRadius (  int  n, int  k, void(*)(int *, double *, int *, double *)  F, void(*)(int *, double *, int *, double *)  dF, double  R, MFErrorHandler  e )

This constructor is exactly the same as calling MFIMFCreateAlgebraicSiubroutine and then MFIMFSetR. Parameters: n  The embedding dimension (the dimension of the range of F). k  The dimension of the solution manifold (the dimension of the range of F is n+k). F  A subroutine that evaluates F. R  The radius. dF  A subroutine that evaluates dF/du. e  A place to return errors. Returns: An implicitly defined manifold.

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