Uses of Interface
org.flag4j.arrays.backend.MatrixMixin

Packages that use MatrixMixin

Package	Description
org.flag4j.arrays	Provides implementations of "smart" array objects, the tensor shape object, and tuples.
org.flag4j.arrays.backend
org.flag4j.arrays.backend.field_arrays
org.flag4j.arrays.backend.ring_arrays
org.flag4j.arrays.backend.semiring_arrays
org.flag4j.arrays.backend.smart_visitors
org.flag4j.arrays.dense	Provides implementations for dense tensors, matrices, and vectors.
org.flag4j.arrays.sparse	Contains implementations for sparse tensors, matrices, and vectors.
org.flag4j.io	IO for vector, matrix, and tensor objects.
org.flag4j.linalg.decompositions	Contains base abstract class for all matrix decompositions.
org.flag4j.linalg.decompositions.balance	Provides implementations of matrix balancing for real and complex matrices.
org.flag4j.linalg.decompositions.chol	Provides implementations of the Cholesky decomposition for real and complex matrices.
org.flag4j.linalg.decompositions.lu	Provides implementations of the LU decomposition for real, complex, and field matrices.
org.flag4j.linalg.decompositions.schur	Provides implementations of the Schur decomposition for real and complex matrices.
org.flag4j.linalg.decompositions.svd	Provides implementations of the singular value decomposition for real and complex matrices.
org.flag4j.linalg.decompositions.unitary	Provides abstract classes useful for implementing real or complex matrix decompositions which proceed by unitary transformations.
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 MatrixMixin in org.flag4j.arrays

Methods in org.flag4j.arrays that return MatrixMixin

Modifier and Type	Method	Description
MatrixMixin<?,?,?,?>	SmartMatrix.getMatrix()	Gets reference to the matrix which backs this SmartMatrix.

Constructors in org.flag4j.arrays with parameters of type MatrixMixin

Modifier	Constructor	Description
	SmartMatrix(MatrixMixin<?,?,?,?> matrix)	Constructs a SmartMatrix which is backed by the specified matrix.

Uses of MatrixMixin in org.flag4j.arrays.backend

Classes in org.flag4j.arrays.backend with type parameters of type MatrixMixin

Modifier and Type	Interface	Description
interface	MatrixMixin<T extends MatrixMixin<T,U,V,W>,U extends MatrixMixin<U,U,?,W>,V extends VectorMixin<V,?,U,W>,W>	The MatrixMixin interface defines methods that any matrix implementation must support.
interface	MatrixMixin<T extends MatrixMixin<T,U,V,W>,U extends MatrixMixin<U,U,?,W>,V extends VectorMixin<V,?,U,W>,W>	The MatrixMixin interface defines methods that any matrix implementation must support.
interface	VectorMixin<T extends VectorMixin<T,U,V,W>,U extends MatrixMixin<U,V,T,W>,V extends MatrixMixin<V,V,?,W>,W>	This interface specifies methods which all vectors should implement.
interface	VectorMixin<T extends VectorMixin<T,U,V,W>,U extends MatrixMixin<U,V,T,W>,V extends MatrixMixin<V,V,?,W>,W>	This interface specifies methods which all vectors should implement.

Uses of MatrixMixin in org.flag4j.arrays.backend.field_arrays

Classes in org.flag4j.arrays.backend.field_arrays that implement MatrixMixin

Modifier and Type	Class	Description
class	AbstractCooFieldMatrix<T extends AbstractCooFieldMatrix<T,U,V,W>,U extends AbstractDenseFieldMatrix<U,?,W>,V extends AbstractCooFieldVector<V,?,T,U,W>,W extends Field<W>>	A sparse matrix stored in coordinate list (COO) format.
class	AbstractCsrFieldMatrix<T extends AbstractCsrFieldMatrix<T,U,V,W>,U extends AbstractDenseFieldMatrix<U,?,W>,V extends AbstractCooFieldVector<V,?,?,U,W>,W extends Field<W>>
class	AbstractDenseFieldMatrix<T extends AbstractDenseFieldMatrix<T,U,V>,U extends AbstractDenseFieldVector<U,T,V>,V extends Field<V>>

Uses of MatrixMixin in org.flag4j.arrays.backend.ring_arrays

Classes in org.flag4j.arrays.backend.ring_arrays that implement MatrixMixin

Modifier and Type	Class	Description
class	AbstractCooRingMatrix<T extends AbstractCooRingMatrix<T,U,V,W>,U extends AbstractDenseRingMatrix<U,?,W>,V extends AbstractCooRingVector<V,?,T,U,W>,W extends Ring<W>>	A sparse matrix stored in coordinate list (COO) format.
class	AbstractCsrRingMatrix<T extends AbstractCsrRingMatrix<T,U,V,W>,U extends AbstractDenseRingMatrix<U,?,W>,V extends AbstractCooRingVector<V,?,?,U,W>,W extends Ring<W>>	A sparse matrix stored in compressed sparse row (CSR) format.
class	AbstractDenseRingMatrix<T extends AbstractDenseRingMatrix<T,U,V>,U extends AbstractDenseRingVector<U,T,V>,V extends Ring<V>>	The base class for all dense matrices whose elements are members of a Ring.

Uses of MatrixMixin in org.flag4j.arrays.backend.semiring_arrays

Classes in org.flag4j.arrays.backend.semiring_arrays that implement MatrixMixin

Modifier and Type	Class	Description
class	AbstractCooSemiringMatrix<T extends AbstractCooSemiringMatrix<T,U,V,W>,U extends AbstractDenseSemiringMatrix<U,?,W>,V extends AbstractCooSemiringVector<V,?,T,U,W>,W extends Semiring<W>>	A sparse matrix stored in coordinate list (COO) format.
class	AbstractCsrSemiringMatrix<T extends AbstractCsrSemiringMatrix<T,U,V,W>,U extends AbstractDenseSemiringMatrix<U,?,W>,V extends AbstractCooSemiringVector<V,?,?,U,W>,W extends Semiring<W>>	A sparse matrix stored in compressed sparse row (CSR) format.
class	AbstractDenseSemiringMatrix<T extends AbstractDenseSemiringMatrix<T,U,V>,U extends AbstractDenseSemiringVector<U,T,V>,V extends Semiring<V>>	The base class for all dense matrices whose elements are members of a Semiring.

Uses of MatrixMixin in org.flag4j.arrays.backend.smart_visitors

Subclasses with type arguments of type MatrixMixin in org.flag4j.arrays.backend.smart_visitors

Modifier and Type	Class	Description
class	AddVisitor
class	DivVisitor
class	ElemMultVisitor
class	MatMultVisitor
class	SubVisitor

Methods in org.flag4j.arrays.backend.smart_visitors that return MatrixMixin

Modifier and Type	Method	Description
MatrixMixin<?,?,?,?>	AddVisitor.visit(CMatrix matrix)
<U extends Field<U>> MatrixMixin<?,?,?,?>	AddVisitor.visit(FieldMatrix<U> matrix)
MatrixMixin<?,?,?,?>	AddVisitor.visit(Matrix matrix)
<U extends Ring<U>> MatrixMixin<?,?,?,?>	AddVisitor.visit(RingMatrix<U> matrix)
<U extends Semiring<U>> MatrixMixin<?,?,?,?>	AddVisitor.visit(SemiringMatrix<U> matrix)
MatrixMixin<?,?,?,?>	AddVisitor.visit(CooCMatrix matrix)
<U extends Field<U>> MatrixMixin<?,?,?,?>	AddVisitor.visit(CooFieldMatrix<U> matrix)
MatrixMixin<?,?,?,?>	AddVisitor.visit(CooMatrix matrix)
<U extends Ring<U>> MatrixMixin<?,?,?,?>	AddVisitor.visit(CooRingMatrix<U> matrix)
<U extends Semiring<U>> MatrixMixin<?,?,?,?>	AddVisitor.visit(CooSemiringMatrix<U> matrix)
MatrixMixin<?,?,?,?>	AddVisitor.visit(CsrCMatrix matrix)
<U extends Field<U>> MatrixMixin<?,?,?,?>	AddVisitor.visit(CsrFieldMatrix<U> matrix)
MatrixMixin<?,?,?,?>	AddVisitor.visit(CsrMatrix matrix)
<U extends Ring<U>> MatrixMixin<?,?,?,?>	AddVisitor.visit(CsrRingMatrix<U> matrix)
<U extends Semiring<U>> MatrixMixin<?,?,?,?>	AddVisitor.visit(CsrSemiringMatrix<U> matrix)
MatrixMixin<?,?,?,?>	DivVisitor.visit(CMatrix matrix)
<U extends Field<U>> MatrixMixin<?,?,?,?>	DivVisitor.visit(FieldMatrix<U> matrix)
MatrixMixin<?,?,?,?>	DivVisitor.visit(Matrix matrix)
<U extends Ring<U>> MatrixMixin<?,?,?,?>	DivVisitor.visit(RingMatrix<U> matrix)
<U extends Semiring<U>> MatrixMixin<?,?,?,?>	DivVisitor.visit(SemiringMatrix<U> matrix)
MatrixMixin<?,?,?,?>	DivVisitor.visit(CooCMatrix matrix)
<U extends Field<U>> MatrixMixin<?,?,?,?>	DivVisitor.visit(CooFieldMatrix<U> matrix)
MatrixMixin<?,?,?,?>	DivVisitor.visit(CooMatrix matrix)
<U extends Ring<U>> MatrixMixin<?,?,?,?>	DivVisitor.visit(CooRingMatrix<U> matrix)
<U extends Semiring<U>> MatrixMixin<?,?,?,?>	DivVisitor.visit(CooSemiringMatrix<U> matrix)
MatrixMixin<?,?,?,?>	DivVisitor.visit(CsrCMatrix matrix)
<U extends Field<U>> MatrixMixin<?,?,?,?>	DivVisitor.visit(CsrFieldMatrix<U> matrix)
MatrixMixin<?,?,?,?>	DivVisitor.visit(CsrMatrix matrix)
<U extends Ring<U>> MatrixMixin<?,?,?,?>	DivVisitor.visit(CsrRingMatrix<U> matrix)
<U extends Semiring<U>> MatrixMixin<?,?,?,?>	DivVisitor.visit(CsrSemiringMatrix<U> matrix)
MatrixMixin<?,?,?,?>	ElemMultVisitor.visit(CMatrix matrix)
<U extends Field<U>> MatrixMixin<?,?,?,?>	ElemMultVisitor.visit(FieldMatrix<U> matrix)
MatrixMixin<?,?,?,?>	ElemMultVisitor.visit(Matrix matrix)
<U extends Ring<U>> MatrixMixin<?,?,?,?>	ElemMultVisitor.visit(RingMatrix<U> matrix)
<U extends Semiring<U>> MatrixMixin<?,?,?,?>	ElemMultVisitor.visit(SemiringMatrix<U> matrix)
MatrixMixin<?,?,?,?>	ElemMultVisitor.visit(CooCMatrix matrix)
<U extends Field<U>> MatrixMixin<?,?,?,?>	ElemMultVisitor.visit(CooFieldMatrix<U> matrix)
MatrixMixin<?,?,?,?>	ElemMultVisitor.visit(CooMatrix matrix)
<U extends Ring<U>> MatrixMixin<?,?,?,?>	ElemMultVisitor.visit(CooRingMatrix<U> matrix)
<U extends Semiring<U>> MatrixMixin<?,?,?,?>	ElemMultVisitor.visit(CooSemiringMatrix<U> matrix)
MatrixMixin<?,?,?,?>	ElemMultVisitor.visit(CsrCMatrix matrix)
<U extends Field<U>> MatrixMixin<?,?,?,?>	ElemMultVisitor.visit(CsrFieldMatrix<U> matrix)
MatrixMixin<?,?,?,?>	ElemMultVisitor.visit(CsrMatrix matrix)
<U extends Ring<U>> MatrixMixin<?,?,?,?>	ElemMultVisitor.visit(CsrRingMatrix<U> matrix)
<U extends Semiring<U>> MatrixMixin<?,?,?,?>	ElemMultVisitor.visit(CsrSemiringMatrix<U> matrix)
MatrixMixin<?,?,?,?>	MatMultVisitor.visit(CMatrix matrix)
<U extends Field<U>> MatrixMixin<?,?,?,?>	MatMultVisitor.visit(FieldMatrix<U> matrix)
MatrixMixin<?,?,?,?>	MatMultVisitor.visit(Matrix matrix)
<U extends Ring<U>> MatrixMixin<?,?,?,?>	MatMultVisitor.visit(RingMatrix<U> matrix)
<U extends Semiring<U>> MatrixMixin<?,?,?,?>	MatMultVisitor.visit(SemiringMatrix<U> matrix)
MatrixMixin<?,?,?,?>	MatMultVisitor.visit(CooCMatrix matrix)
<U extends Field<U>> MatrixMixin<?,?,?,?>	MatMultVisitor.visit(CooFieldMatrix<U> matrix)
MatrixMixin<?,?,?,?>	MatMultVisitor.visit(CooMatrix matrix)
<U extends Ring<U>> MatrixMixin<?,?,?,?>	MatMultVisitor.visit(CooRingMatrix<U> matrix)
<U extends Semiring<U>> MatrixMixin<?,?,?,?>	MatMultVisitor.visit(CooSemiringMatrix<U> matrix)
MatrixMixin<?,?,?,?>	MatMultVisitor.visit(CsrCMatrix matrix)
<U extends Field<U>> MatrixMixin<?,?,?,?>	MatMultVisitor.visit(CsrFieldMatrix<U> matrix)
MatrixMixin<?,?,?,?>	MatMultVisitor.visit(CsrMatrix matrix)
<U extends Ring<U>> MatrixMixin<?,?,?,?>	MatMultVisitor.visit(CsrRingMatrix<U> matrix)
<U extends Semiring<U>> MatrixMixin<?,?,?,?>	MatMultVisitor.visit(CsrSemiringMatrix<U> matrix)
MatrixMixin<?,?,?,?>	SubVisitor.visit(CMatrix matrix)
<U extends Field<U>> MatrixMixin<?,?,?,?>	SubVisitor.visit(FieldMatrix<U> matrix)
MatrixMixin<?,?,?,?>	SubVisitor.visit(Matrix matrix)
<U extends Ring<U>> MatrixMixin<?,?,?,?>	SubVisitor.visit(RingMatrix<U> matrix)
<U extends Semiring<U>> MatrixMixin<?,?,?,?>	SubVisitor.visit(SemiringMatrix<U> matrix)
MatrixMixin<?,?,?,?>	SubVisitor.visit(CooCMatrix matrix)
<U extends Field<U>> MatrixMixin<?,?,?,?>	SubVisitor.visit(CooFieldMatrix<U> matrix)
MatrixMixin<?,?,?,?>	SubVisitor.visit(CooMatrix matrix)
<U extends Ring<U>> MatrixMixin<?,?,?,?>	SubVisitor.visit(CooRingMatrix<U> matrix)
<U extends Semiring<U>> MatrixMixin<?,?,?,?>	SubVisitor.visit(CooSemiringMatrix<U> matrix)
MatrixMixin<?,?,?,?>	SubVisitor.visit(CsrCMatrix matrix)
<U extends Field<U>> MatrixMixin<?,?,?,?>	SubVisitor.visit(CsrFieldMatrix<U> matrix)
MatrixMixin<?,?,?,?>	SubVisitor.visit(CsrMatrix matrix)
<U extends Ring<U>> MatrixMixin<?,?,?,?>	SubVisitor.visit(CsrRingMatrix<U> matrix)
<U extends Semiring<U>> MatrixMixin<?,?,?,?>	SubVisitor.visit(CsrSemiringMatrix<U> matrix)

Methods in org.flag4j.arrays.backend.smart_visitors with parameters of type MatrixMixin

Modifier and Type	Method	Description
protected <U> String	MatrixVisitor.getInvalidOppMessage(MatrixMixin<?,?,?,?> matrix)

Constructors in org.flag4j.arrays.backend.smart_visitors with parameters of type MatrixMixin

Modifier	Constructor	Description
	AddVisitor(MatrixMixin<?,?,?,?> other)
	DivVisitor(MatrixMixin<?,?,?,?> other)
	ElemMultVisitor(MatrixMixin<?,?,?,?> other)
	MatMultVisitor(MatrixMixin<?,?,?,?> other)
	SubVisitor(MatrixMixin<?,?,?,?> other)

Uses of MatrixMixin in org.flag4j.arrays.dense

Classes in org.flag4j.arrays.dense that implement MatrixMixin

Modifier and Type	Class	Description
class	CMatrix	Instances of this class represents a complex dense matrix backed by a Complex128 array.
class	FieldMatrix<T extends Field<T>>	Instances of this class represents a dense matrix backed by a Field array.
class	Matrix	Instances of this class represents a complex dense matrix backed by a double[] array.
class	RingMatrix<T extends Ring<T>>	Instances of this class represents a dense matrix backed by a Ring array.
class	SemiringMatrix<T extends Semiring<T>>	Instances of this class represents a dense matrix backed by a Semiring array.

Uses of MatrixMixin in org.flag4j.arrays.sparse

Classes in org.flag4j.arrays.sparse that implement MatrixMixin

Modifier and Type	Class	Description
class	CooCMatrix	A complex sparse matrix stored in coordinate list (COO) format.
class	CooFieldMatrix<T extends Field<T>>	Instances of this class represent a sparse matrix whose non-zero elements are stored in Coordinate List (COO) format, with all data elements belonging to a specified Field type.
class	CooMatrix	A real sparse matrix stored in coordinate list (COO) format.
class	CooRingMatrix<T extends Ring<T>>	Represents a sparse matrix whose non-zero elements are stored in Coordinate List (COO) format, with all data elements belonging to a specified Ring type.
class	CooSemiringMatrix<T extends Semiring<T>>	Represents a sparse matrix whose non-zero elements are stored in Coordinate List (COO) format, with all data elements belonging to a specified Semiring type.
class	CsrCMatrix	Instances of this class represent a complex sparse matrix using the compressed sparse row (CSR) format.
class	CsrFieldMatrix<T extends Field<T>>	Instances of this class represent a sparse matrix using the compressed sparse row (CSR) format where all data elements belonging to a specified Field type.
class	CsrMatrix	Instances of this class represent a real sparse matrix using the compressed sparse row (CSR) format.
class	CsrRingMatrix<T extends Ring<T>>
class	CsrSemiringMatrix<T extends Semiring<T>>	Instances of this class represent a sparse matrix using the compressed sparse row (CSR) format where all data elements belonging to a specified Semiring type.

Uses of MatrixMixin in org.flag4j.io

Methods in org.flag4j.io that return MatrixMixin

Modifier and Type	Method	Description
static MatrixMixin<?,?,?,?>	TensorReader.fromCsv(String fileName, Class<? extends MatrixMixin<?,?,?,?>> matrixType)	Reads a CSV file into a matrix of the specified type.
static MatrixMixin<?,?,?,?>	TensorReader.fromCsv(String fileName, String delimiter, Class<? extends MatrixMixin<?,?,?,?>> matrixType)	Reads a CSV file into a matrix of the specified type.

Methods in org.flag4j.io with parameters of type MatrixMixin

Modifier and Type	Method	Description
static void	TensorWriter.toCsv(String fileName, MatrixMixin<?,?,?,?> src)	Writes a matrix to a CSV file.
static void	TensorWriter.toCsv(String filePath, MatrixMixin<?,?,?,?> src, String delimiter)	Writes a matrix to a CSV file.
static void	TensorWriter.toMatrixMarket(String fileName, MatrixMixin<?,?,?,?> src, String... comments)	Writes a matrix to a Matrix Market Exchange Format file.
static void	MatrixMarketWriter.write(String filePath, MatrixMixin<?,?,?,?> mat, boolean isPattern, String... comments)	Writes a matrix to a file in Matrix Market Exchange Format file.
static void	MatrixMarketWriter.write(String filePath, MatrixMixin<?,?,?,?> mat, String... comments)	Writes a matrix to a file in Matrix Market Exchange Format file.

Method parameters in org.flag4j.io with type arguments of type MatrixMixin

Modifier and Type	Method	Description
static MatrixMixin<?,?,?,?>	TensorReader.fromCsv(String fileName, Class<? extends MatrixMixin<?,?,?,?>> matrixType)	Reads a CSV file into a matrix of the specified type.
static MatrixMixin<?,?,?,?>	TensorReader.fromCsv(String fileName, String delimiter, Class<? extends MatrixMixin<?,?,?,?>> matrixType)	Reads a CSV file into a matrix of the specified type.

Uses of MatrixMixin in org.flag4j.linalg.decompositions

Classes in org.flag4j.linalg.decompositions with type parameters of type MatrixMixin

Modifier and Type	Class	Description
class	Decomposition<T extends MatrixMixin<T,?,?,?>>	An abstract base class representing a matrix decomposition.

Uses of MatrixMixin in org.flag4j.linalg.decompositions.balance

Classes in org.flag4j.linalg.decompositions.balance with type parameters of type MatrixMixin

Modifier and Type	Class	Description
class	Balancer<T extends MatrixMixin<T,?,?,?>>	Base class for all decompositions which implement matrix balancing.

Fields in org.flag4j.linalg.decompositions.balance declared as MatrixMixin

Modifier and Type	Field	Description
protected T	Balancer.balancedMatrix	Stores the balanced matrix.

Uses of MatrixMixin in org.flag4j.linalg.decompositions.chol

Classes in org.flag4j.linalg.decompositions.chol with type parameters of type MatrixMixin

Modifier and Type	Class	Description
class	Cholesky<T extends MatrixMixin<T,?,?,?>>	An abstract base class for Cholesky decomposition of symmetric (or Hermitian) positive-definite matrices.

Fields in org.flag4j.linalg.decompositions.chol declared as MatrixMixin

Modifier and Type	Field	Description
protected T	Cholesky.L	The lower triangular matrix, \( L \), resulting from the Cholesky decomposition \( A = LL^{H} \).

Uses of MatrixMixin in org.flag4j.linalg.decompositions.lu

Classes in org.flag4j.linalg.decompositions.lu with type parameters of type MatrixMixin

Modifier and Type	Class	Description
class	LU<T extends MatrixMixin<T,?,?,?>>	An abstract base class for LU decomposition of a matrix.

Fields in org.flag4j.linalg.decompositions.lu declared as MatrixMixin

Modifier and Type	Field	Description
protected T	LU.LU	Storage for L and U matrices.

Uses of MatrixMixin in org.flag4j.linalg.decompositions.schur

Classes in org.flag4j.linalg.decompositions.schur with type parameters of type MatrixMixin

Modifier and Type	Class	Description
class	Schur<T extends MatrixMixin<T,?,?,?>,U>	An abstract base class for computing the Schur decomposition of a square matrix.

Fields in org.flag4j.linalg.decompositions.schur declared as MatrixMixin

Modifier and Type	Field	Description
protected T	Schur.T	For storing the (possibly block) upper triangular matrix \( T \) in the Schur decomposition.
protected T	Schur.U	For storing the unitary \( U \) matrix in the Schur decomposition.

Uses of MatrixMixin in org.flag4j.linalg.decompositions.svd

Classes in org.flag4j.linalg.decompositions.svd with type parameters of type MatrixMixin

Modifier and Type	Class	Description
class	SVD<T extends MatrixMixin<T,?,?,?>>	This abstract class specifies methods for computing the singular value decomposition (SVD) of a matrix.

Fields in org.flag4j.linalg.decompositions.svd declared as MatrixMixin

Modifier and Type	Field	Description
protected T	SVD.U	The unitary matrix \( U \) corresponding to \( M=U\Sigma V^{H} \) in the SVD.
protected T	SVD.V	The unitary matrix \( V \) corresponding to \( M=U\Sigma V^{H} \) in the SVD.

Uses of MatrixMixin in org.flag4j.linalg.decompositions.unitary

Classes in org.flag4j.linalg.decompositions.unitary with type parameters of type MatrixMixin

Modifier and Type	Class	Description
class	UnitaryDecomposition<T extends MatrixMixin<T,?,?,?>,U>	This class is the base class for all decompositions which proceed by using unitary transformations (specifically Householder reflectors) to bring a matrix into an upper triangular matrix (QR decomposition) or an upper Hessenburg matrix (Hessenburg decomposition).

Fields in org.flag4j.linalg.decompositions.unitary declared as MatrixMixin

Modifier and Type	Field	Description
T	UnitaryDecomposition.transformMatrix	Storage for the upper triangular/Hessenburg matrix and the vectors of the Householder reflectors used in the decomposition.

Uses of MatrixMixin in org.flag4j.linalg.solvers

Classes in org.flag4j.linalg.solvers with type parameters of type MatrixMixin

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 MatrixMixin in org.flag4j.linalg.solvers.exact

Classes in org.flag4j.linalg.solvers.exact with type parameters of type MatrixMixin

Modifier and Type	Class	Description
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.

Fields in org.flag4j.linalg.solvers.exact declared as MatrixMixin

Modifier and Type	Field	Description
protected T	ExactSolver.LU	The unit-lower and upper triangular matrices from the LU decomposition stored in a single matrix.

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

Classes in org.flag4j.linalg.solvers.exact.triangular with type parameters of type MatrixMixin

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	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.

Fields in org.flag4j.linalg.solvers.exact.triangular declared as MatrixMixin

Modifier and Type	Field	Description
protected T	BackSolver.X	For storing matrix results.

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

Classes in org.flag4j.linalg.solvers.lstsq with type parameters of type MatrixMixin

Modifier and Type	Class	Description
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.

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

Modifier and Type	Field	Description
protected T	LstsqSolver.Qh	The Hermitian transpose of the unitary matrix, \( Q \), from the QR decomposition.
protected T	LstsqSolver.R	The upper triangular matrix, \( R \), from the QR decomposition.