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

Packages that use VectorMixin

Package	Description
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.dense	Provides implementations for dense tensors, matrices, and vectors.
org.flag4j.arrays.sparse	Contains implementations for sparse tensors, matrices, and vectors.
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 VectorMixin in org.flag4j.arrays.backend

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

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	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.

Methods in org.flag4j.arrays.backend that return VectorMixin

Modifier and Type	Method	Description
VectorMixin<?,?,?,W>	MatrixMixin.mult(V b)	Computes the matrix-vector multiplication of a vector with this matrix.

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

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

Modifier and Type	Class	Description
class	AbstractCooFieldVector<T extends AbstractCooFieldVector<T,U,V,W,Y>,U extends AbstractDenseFieldVector<U,W,Y>,V extends AbstractCooFieldMatrix<V,W,T,Y>,W extends AbstractDenseFieldMatrix<W,U,Y>,Y extends Field<Y>>	A sparse vector stored in coordinate list (COO) format.
class	AbstractDenseFieldVector<T extends AbstractDenseFieldVector<T,U,V>,U extends AbstractDenseFieldMatrix<U,T,V>,V extends Field<V>>	The base class for all dense vectors whose data are Field elements.

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

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

Modifier and Type	Class	Description
class	AbstractCooRingVector<T extends AbstractCooRingVector<T,U,V,W,Y>,U extends AbstractDenseRingVector<U,W,Y>,V extends AbstractCooRingMatrix<V,W,T,Y>,W extends AbstractDenseRingMatrix<W,U,Y>,Y extends Ring<Y>>	A sparse vector stored in coordinate list (COO) format.
class	AbstractDenseRingVector<T extends AbstractDenseRingVector<T,U,V>,U extends AbstractDenseRingMatrix<U,T,V>,V extends Ring<V>>	The base class for all dense vectors whose data are Ring elements.

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

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

Modifier and Type	Class	Description
class	AbstractCooSemiringVector<T extends AbstractCooSemiringVector<T,U,V,W,Y>,U extends AbstractDenseSemiringVector<U,W,Y>,V extends AbstractCooSemiringMatrix<V,W,T,Y>,W extends AbstractDenseSemiringMatrix<W,U,Y>,Y extends Semiring<Y>>	A sparse vector stored in coordinate list (COO) format.
class	AbstractDenseSemiringVector<T extends AbstractDenseSemiringVector<T,U,V>,U extends AbstractDenseSemiringMatrix<U,T,V>,V extends Semiring<V>>	The base class for all dense vectors whose data are Semiring elements.

Uses of VectorMixin in org.flag4j.arrays.dense

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

Modifier and Type	Class	Description
class	CVector
class	FieldVector<T extends Field<T>>	Instances of this class represents a dense vector backed by a Field array.
class	RingVector<T extends Ring<T>>	Instances of this class represents a dense vector backed by a Ring array.
class	SemiringVector<T extends Semiring<T>>	Instances of this class represents a dense vector backed by a Semiring array.
class	Vector	A dense vector backed by a primitive double array.

Uses of VectorMixin in org.flag4j.arrays.sparse

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

Modifier and Type	Class	Description
class	CooCVector	A complex sparse vector stored in coordinate list (COO) format.
class	CooFieldVector<T extends Field<T>>	Represents a sparse vector whose non-zero elements are stored in Coordinate List (COO) format, with all data elements belonging to a specified Field type.
class	CooRingVector<T extends Ring<T>>	Represents a sparse vector whose non-zero elements are stored in Coordinate List (COO) format, with all data elements belonging to a specified Ring type.
class	CooSemiringVector<T extends Semiring<T>>	Represents a sparse vector whose non-zero elements are stored in Coordinate List (COO) format, with all data elements belonging to a specified Semiring type.
class	CooVector	A real sparse vector stored in coordinate list (COO) format.

Uses of VectorMixin in org.flag4j.linalg.solvers

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

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 VectorMixin in org.flag4j.linalg.solvers.exact

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

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.

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

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

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 VectorMixin

Modifier and Type	Field	Description
protected U	BackSolver.x	For storing vector results.

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

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

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.