/// <inheritdoc/>
public FieldMatrix <U> getInverse()
{
int m = pivot.Length;
U one = field.getOne();
FieldMatrix <U> identity = new Array2DRowFieldMatrix <U>(field, m, m);
for (int i = 0; i < m; ++i)
{
identity.setEntry(i, i, one);
}
return(solve(identity));
}
/// <summary>
/// Compute the outer product.
/// </summary>
/// <param name="v">vector with which outer product should be computed</param>
/// <returns>the matrix outer product between instance and v</returns>
public FieldMatrix <T> outerProduct(ArrayFieldVector <T> v)
{
int m = data.Length;
int n = v.data.Length;
FieldMatrix <T> outp = new Array2DRowFieldMatrix <T>(field, m, n);
for (int i = 0; i < m; i++)
{
for (int j = 0; j < n; j++)
{
outp.setEntry(i, j, data[i].multiply(v.data[j]));
}
}
return(outp);
}
/// <inheritdoc/>
public FieldMatrix <T> outerProduct(FieldVector <T> v)
{
try
{
return(outerProduct((ArrayFieldVector <T>)v));
}
catch (InvalidCastException)
{
int m = data.Length;
int n = v.getDimension();
FieldMatrix <T> outp = new Array2DRowFieldMatrix <T>(field, m, n);
for (int i = 0; i < m; i++)
{
for (int j = 0; j < n; j++)
{
outp.setEntry(i, j, data[i].multiply(v.getEntry(j)));
}
}
return(outp);
}
}