Interface LinearSolver<S extends Matrix,D extends Matrix>
 All Known Subinterfaces:
AdjustableLinearSolver_DDRM
,AdjustableLinearSolver_FDRM
,LinearSolverDense<T>
,LinearSolverSparse<S,
D>
 All Known Implementing Classes:
AdjLinearSolverQr_DDRM
,AdjLinearSolverQr_FDRM
,BaseLinearSolverQrp_DDRM
,BaseLinearSolverQrp_FDRM
,CholeskyOuterSolver_DDRB
,CholeskyOuterSolver_FDRB
,CholeskyOuterSolver_MT_DDRB
,CholeskyOuterSolver_MT_FDRB
,LinearSolver_DDRB_to_DDRM
,LinearSolver_FDRB_to_FDRM
,LinearSolverAbstract_CDRM
,LinearSolverAbstract_DDRM
,LinearSolverAbstract_FDRM
,LinearSolverAbstract_ZDRM
,LinearSolverChol_CDRM
,LinearSolverChol_DDRB
,LinearSolverChol_DDRM
,LinearSolverChol_FDRB
,LinearSolverChol_FDRM
,LinearSolverChol_ZDRM
,LinearSolverCholesky_DSCC
,LinearSolverCholesky_FSCC
,LinearSolverCholLDL_DDRM
,LinearSolverCholLDL_FDRM
,LinearSolverLu_CDRM
,LinearSolverLu_DDRM
,LinearSolverLu_DSCC
,LinearSolverLu_FDRM
,LinearSolverLu_FSCC
,LinearSolverLu_ZDRM
,LinearSolverLuBase_CDRM
,LinearSolverLuBase_DDRM
,LinearSolverLuBase_FDRM
,LinearSolverLuBase_ZDRM
,LinearSolverLuKJI_DDRM
,LinearSolverLuKJI_FDRM
,LinearSolverQr_CDRM
,LinearSolverQr_DDRM
,LinearSolverQr_FDRM
,LinearSolverQr_ZDRM
,LinearSolverQrBlock64_DDRM
,LinearSolverQrBlock64_FDRM
,LinearSolverQrHouse_CDRM
,LinearSolverQrHouse_DDRM
,LinearSolverQrHouse_FDRM
,LinearSolverQrHouse_ZDRM
,LinearSolverQrHouseCol_CDRM
,LinearSolverQrHouseCol_DDRM
,LinearSolverQrHouseCol_FDRM
,LinearSolverQrHouseCol_MT_DDRM
,LinearSolverQrHouseCol_MT_FDRM
,LinearSolverQrHouseCol_ZDRM
,LinearSolverQrHouseTran_CDRM
,LinearSolverQrHouseTran_DDRM
,LinearSolverQrHouseTran_FDRM
,LinearSolverQrHouseTran_ZDRM
,LinearSolverQrLeftLooking_DSCC
,LinearSolverQrLeftLooking_FSCC
,LinearSolverQrpHouseCol_DDRM
,LinearSolverQrpHouseCol_FDRM
,LinearSolverSafe
,LinearSolverSparseSafe
,LinearSolverToSparse
,LinearSolverUnrolled_DDRM
,LinearSolverUnrolled_FDRM
,QrHouseHolderSolver_DDRB
,QrHouseHolderSolver_FDRB
,QrHouseHolderSolver_MT_DDRB
,QrHouseHolderSolver_MT_FDRB
,SolvePseudoInverseQrp_DDRM
,SolvePseudoInverseQrp_FDRM
,SolvePseudoInverseSvd_DDRM
,SolvePseudoInverseSvd_FDRM
Base class for Linear Solvers.
 See Also:

Method Summary
Modifier and TypeMethodDescription<Decomposition extends DecompositionInterface>
DecompositionIf a decomposition class was used internally then this will return that class.boolean
Returns true if the passed in matrix tosetA(Matrix)
is modified.boolean
Returns true if the passed in 'B' matrix tosolve(Matrix, Matrix)
is modified.double
quality()
Returns a very quick to compute measure of how singular the system is.boolean
Specifies the A matrix in the linear equation.void
Solves for X in the linear system, A*X=B.

Method Details

setA
Specifies the A matrix in the linear equation. A reference might be saved and it might also be modified depending on the implementation. If it is modified then
modifiesA()
will return true.If this value returns true that does not guarantee a valid solution was generated. This is because some decompositions don't detect singular matrices.
 Parameters:
A
 The 'A' matrix in the linear equation. Might be modified or save the reference. Returns:
 true if it can be processed.

quality
double quality()Returns a very quick to compute measure of how singular the system is. This measure will be invariant to the scale of the matrix and always be positive, with larger values indicating it is less singular. If not supported by the solver then the runtime exception IllegalArgumentException is thrown. This is NOT the matrix's condition.
How this function is implemented is not specified. One possible implementation is the following: In many decompositions a triangular matrix is extracted. The determinant of a triangular matrix is easily computed and once normalized to be scale invariant and its absolute value taken it will provide functionality described above.
 Returns:
 The quality of the linear system.

solve
Solves for X in the linear system, A*X=B.
In some implementations 'B' and 'X' can be the same instance of a variable. Call
modifiesB()
to determine if 'B' is modified. Parameters:
B
 A matrix ℜ ^{m × p}. Might be modified.X
 A matrix ℜ ^{n × p}, where the solution is written to. Modified.

modifiesA
boolean modifiesA()Returns true if the passed in matrix tosetA(Matrix)
is modified. Returns:
 true if A is modified in setA().

modifiesB
boolean modifiesB()Returns true if the passed in 'B' matrix tosolve(Matrix, Matrix)
is modified. Returns:
 true if B is modified in solve(B,X).

getDecomposition
If a decomposition class was used internally then this will return that class. Most linear solvers decompose the input matrix into a more simplistic form. However some solutions do not require decomposition, e.g. inverse by minor. Type Parameters:
Decomposition
 Decomposition type Returns:
 Internal decomposition class. If there is none then null.
