Uses of Interface
org.flag4j.linalg.solvers.LinearSolver

Packages that use LinearSolver

Package	Description
org.flag4j.linalg.solvers	Contains base abstract classes for all linear matrix and tensor equation solvers.
org.flag4j.linalg.solvers.exact	Contains solvers which solve well determined linear tensor and matrix equations in an exact sense.
org.flag4j.linalg.solvers.exact.triangular	Contains solvers which solve well determined triangular linear matrix equations in an exact sense.
org.flag4j.linalg.solvers.lstsq	Solvers for under-, well-, or over-determined linear systems in a least-squares sense.

Uses of LinearSolver in org.flag4j.linalg.solvers

Subinterfaces of LinearSolver in org.flag4j.linalg.solvers

Modifier and Type	Interface	Description
interface	LinearMatrixSolver<T extends MatrixMixin<T,?,U,?>,U extends VectorMixin<U,T,?,?>>	Interface representing a solver for linear systems involving matrices and vectors.

Uses of LinearSolver in org.flag4j.linalg.solvers.exact

Classes in org.flag4j.linalg.solvers.exact that implement LinearSolver

Modifier and Type	Class	Description
class	ComplexExactSolver	Solves a well determined system of equations \( Ax = b \) or \( AX = B \) in an exact sense by using a LU decomposition where \( A \), \( B \), and \( X \) are matrices, and \( x \) and \( b \) are vectors.
class	ComplexExactTensorSolver	Solver for solving a real well determined linear tensor equation \( AX = B \) in an exact sense.
class	ExactSolver<T extends MatrixMixin<T,?,U,?>,U extends VectorMixin<U,T,?,?>>	Solves a well determined system of equations \( Ax = b \) or \( AX = B \) in an exact sense.
class	ExactTensorSolver<T extends AbstractTensor<T,?,?>,U extends MatrixMixin<U,?,V,?>,V extends VectorMixin<V,U,?,?>>	Solves a well determined system of equations \( AX = B \) in an exact sense where \( A \), \( X \), and \( B \) are tensors.
class	RealExactSolver	Solves a well determined system of equations \( Ax = b \) or \( AX = B \) in an exact sense by using a LU decomposition where \( A \), \( B \), and \( X \) are matrices, and \( x \) and \( b \) are vectors.
class	RealExactTensorSolver	Solver for solving a real well determined linear tensor equation \( AX = B \) in an exact sense.

Uses of LinearSolver in org.flag4j.linalg.solvers.exact.triangular

Classes in org.flag4j.linalg.solvers.exact.triangular that implement LinearSolver

Modifier and Type	Class	Description
class	BackSolver<T extends MatrixMixin<T,?,U,?>,U extends VectorMixin<U,T,?,?>,V>	Base class for solvers which solve a linear system of equations \( Ux = b \) or \( UX = B \) where \( U \) is an upper triangular matrix.
class	ComplexBackSolver	This solver solves linear systems of the form \( Ux = b \) or \( UX = B \) where \( U \) is an upper triangular matrix.
class	ComplexForwardSolver	This solver solves a complex linear system of equations where the coefficient matrix is lower triangular.
class	ForwardSolver<T extends MatrixMixin<T,?,U,?>,U extends VectorMixin<U,T,?,?>,V>	This solver solves linear systems of equations where the coefficient matrix is lower triangular.
class	RealBackSolver	This solver solves linear systems of the form \( Ux = b \) or \( UX = B \) where \( U \) is an upper triangular matrix.
class	RealForwardSolver	This solver solves a real linear system of equations where the coefficient matrix is lower triangular.

Uses of LinearSolver in org.flag4j.linalg.solvers.lstsq

Classes in org.flag4j.linalg.solvers.lstsq that implement LinearSolver

Modifier and Type	Class	Description
class	ComplexLstsqSolver	Instances of this class solve complex linear systems of the form \( Ax = b \) or \( AX = B \) in a least-squares sense.
class	LstsqSolver<T extends MatrixMixin<T,?,U,?>,U extends VectorMixin<U,T,?,?>>	An abstract solver for linear systems of the form \( Ax = b \) or \( AX = B \) in a least-squares sense.
class	RealLstsqSolver	Instances of this class solve real linear systems of the form \( Ax = b \) or \( AX = B \) in a least-squares sense.