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

Packages that use LinearMatrixSolver

Package	Description
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 LinearMatrixSolver in org.flag4j.linalg.solvers.exact

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

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	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	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.

Constructors in org.flag4j.linalg.solvers.exact with parameters of type LinearMatrixSolver

Modifier	Constructor	Description
protected	ExactTensorSolver(LinearMatrixSolver<U,V> matrixSolver)	Creates an exact tensor solver which will use reform the problem as a matrix linear system and use the provided solver to solve the tensor system.

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

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

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 LinearMatrixSolver in org.flag4j.linalg.solvers.lstsq

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

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.

Fields in org.flag4j.linalg.solvers.lstsq declared as LinearMatrixSolver

Modifier and Type	Field	Description
protected final LinearMatrixSolver<T,U>	LstsqSolver.backSolver	Solver for system with an upper triangular coefficient matrix.

Constructors in org.flag4j.linalg.solvers.lstsq with parameters of type LinearMatrixSolver

Modifier	Constructor	Description
protected	LstsqSolver(UnitaryDecomposition<T,?> qr, LinearMatrixSolver<T,U> backSolver)	Constructs a least-squares solver with a specified decomposer to use in the QR decomposition.