Interface FieldDecompositionSolver<T extends FieldElement<T>>

 Type Parameters:
T
 the type of the field elements
public interface FieldDecompositionSolver<T extends FieldElement<T>>
Interface handling decomposition algorithms that can solve A × X = B.Decomposition algorithms decompose an A matrix has a product of several specific matrices from which they can solve A × X = B in least squares sense: they find X such that A × X  B is minimal.
Some solvers like
FieldLUDecomposition
can only find the solution for square matrices and when the solution is an exact linear solution, i.e. when A × X  B is exactly 0. Other solvers can also find solutions with nonsquare matrix A and with nonnull minimal norm. If an exact linear solution exists it is also the minimal norm solution. Since:
 2.0


Method Summary
All Methods Instance Methods Abstract Methods Modifier and Type Method Description FieldMatrix<T>
getInverse()
Get the inverse (or pseudoinverse) of the decomposed matrix.boolean
isNonSingular()
Check if the decomposed matrix is nonsingular.FieldMatrix<T>
solve(FieldMatrix<T> b)
Solve the linear equation A × X = B for matrices A.FieldVector<T>
solve(FieldVector<T> b)
Solve the linear equation A × X = B for matrices A.



Method Detail

solve
FieldVector<T> solve(FieldVector<T> b)
Solve the linear equation A × X = B for matrices A.The A matrix is implicit, it is provided by the underlying decomposition algorithm.
 Parameters:
b
 righthand side of the equation A × X = B Returns:
 a vector X that minimizes the two norm of A × X  B
 Throws:
DimensionMismatchException
 if the matrices dimensions do not match.SingularMatrixException
 if the decomposed matrix is singular.

solve
FieldMatrix<T> solve(FieldMatrix<T> b)
Solve the linear equation A × X = B for matrices A.The A matrix is implicit, it is provided by the underlying decomposition algorithm.
 Parameters:
b
 righthand side of the equation A × X = B Returns:
 a matrix X that minimizes the two norm of A × X  B
 Throws:
DimensionMismatchException
 if the matrices dimensions do not match.SingularMatrixException
 if the decomposed matrix is singular.

isNonSingular
boolean isNonSingular()
Check if the decomposed matrix is nonsingular. Returns:
 true if the decomposed matrix is nonsingular

getInverse
FieldMatrix<T> getInverse()
Get the inverse (or pseudoinverse) of the decomposed matrix. Returns:
 inverse matrix
 Throws:
SingularMatrixException
 if the decomposed matrix is singular.

