public bool EigenSystem(EigenVectorsSpecs specs, out MathematicaVector values, out MathematicaMatrix vectors)
{
var sysExpr = CasInterface[Mfs.Eigensystem[MathExpr]];
values = MathematicaVector.Create(CasInterface, sysExpr.Args[0]);
Expr vectorsExpr;
switch (specs)
{
case EigenVectorsSpecs.InMatrixRows:
vectorsExpr = sysExpr.Args[1];
break;
case EigenVectorsSpecs.InMatrixColumns:
vectorsExpr = CasInterface[Mfs.Transpose[sysExpr.Args[1]]];
break;
case EigenVectorsSpecs.OrthogonalInMatrixRows:
vectorsExpr = CasInterface[Mfs.Orthogonalize[sysExpr.Args[1]]];
break;
default:
vectorsExpr = CasInterface[Mfs.Transpose[Mfs.Orthogonalize[sysExpr.Args[1]]]];
break;
}
vectors = Create(CasInterface, vectorsExpr);
//TODO: Test if the eigen sytem is OK
return(true);
}
public static MathematicaMatrix CreateFullDiagonalMatrix(MathematicaInterface parentCas, IEnumerable <MathematicaScalar> scalarsList)
{
var vector = MathematicaVector.CreateFullVector(parentCas, scalarsList);
return(CreateDiagonal(vector));
}
//public MathematicaMatrix SetRow(int index, VectorBase vector);
//public MathematicaMatrix SetColumn(int index, VectorBase vector);
//public MathematicaMatrix SetDiagonal(VectorBase vector);
//public MathematicaMatrix AppendRow(VectorBase vector);
//public MathematicaMatrix AppendColumn(VectorBase vector);
public MathematicaVector EigenValues_InVector()
{
return(MathematicaVector.Create(CasInterface, CasInterface[Mfs.Eigenvalues[MathExpr]]));
}
public ISymbolicVector GetDiagonal()
{
var e = CasInterface[Mfs.Diagonal[MathExpr]];
return(MathematicaVector.Create(CasInterface, e));
}
public ISymbolicVector GetColumn(int index)
{
var e = CasInterface[Mfs.Part[MathExpr, OptionSymbols.All, (index + 1).ToExpr()]];
return(MathematicaVector.Create(CasInterface, e));
}
public ISymbolicVector Times(ISymbolicVector v)
{
var e = CasInterface[Mfs.Dot[MathExpr, v.ToMathematicaVector().MathExpr]];
return(MathematicaVector.Create(CasInterface, e));
}
public ISymbolicVector GetRow(int index)
{
var e = CasInterface[Mfs.Part[Expression, (index + 1).ToExpr(), OptionSymbols.All]];
return(MathematicaVector.Create(CasInterface, e));
}