Uses of Class
org.flag4j.linalg.decompositions.Decomposition

Packages that use Decomposition

Package	Description
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.hess	Provides implementations of the Hessenberg 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.qr	Provides implementations of the QR decomposition for real and complex 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.

Uses of Decomposition in org.flag4j.linalg.decompositions

Methods in org.flag4j.linalg.decompositions that return Decomposition

Modifier and Type	Method	Description
abstract Decomposition<T>	Decomposition.decompose(T src)	Applies decomposition to the source matrix.

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

Subclasses of Decomposition in org.flag4j.linalg.decompositions.balance

Modifier and Type	Class	Description
class	Balancer<T extends MatrixMixin<T,?,?,?>>	Base class for all decompositions which implement matrix balancing.
class	ComplexBalancer	Instances of this class may be used to balance complex dense matrices.
class	RealBalancer	Instances of this class may be used to balance real dense matrices.

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

Subclasses of Decomposition in org.flag4j.linalg.decompositions.chol

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.
class	ComplexCholesky	An abstract base class for Cholesky decomposition of Hermitian (or Hermitian) positive-definite matrices.
class	RealCholesky	An abstract base class for Cholesky decomposition of symmetric (or symmetric) positive-definite matrices.

Uses of Decomposition in org.flag4j.linalg.decompositions.hess

Subclasses of Decomposition in org.flag4j.linalg.decompositions.hess

Modifier and Type	Class	Description
class	ComplexHess	Computes the Hessenberg decomposition of a complex dense square matrix.
class	HermHess	Computes the Hessenberg decomposition of a real dense Hermitian matrix.
class	RealHess	Computes the Hessenberg decomposition of a real dense square matrix.
class	SymmHess	Computes the Hessenberg decomposition of a real dense symmetric matrix.

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

Subclasses of Decomposition in org.flag4j.linalg.decompositions.lu

Modifier and Type	Class	Description
class	ComplexLU	Instances of this class can be used to compute the LU decomposition of a complex dense matrix.
class	FieldLU<T extends Field<T>>	Instances of this class can be used to compute the LU decomposition of a complex dense matrix.
class	LU<T extends MatrixMixin<T,?,?,?>>	An abstract base class for LU decomposition of a matrix.
class	RealLU	Instances of this class can be used to compute the LU decomposition of a real dense matrix.

Uses of Decomposition in org.flag4j.linalg.decompositions.qr

Subclasses of Decomposition in org.flag4j.linalg.decompositions.qr

Modifier and Type	Class	Description
class	ComplexQR	Computes the QR decomposition of dense complex matrix.
class	RealQR	Computes the QR decomposition of a real dense matrix.

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

Subclasses of Decomposition in org.flag4j.linalg.decompositions.schur

Modifier and Type	Class	Description
class	ComplexSchur	Instanced of this class can be used for computing the Schur decomposition of a real dense square matrix.
class	RealSchur	Instanced of this class can be used for computing the Schur decomposition of a real dense square matrix.
class	Schur<T extends MatrixMixin<T,?,?,?>,U>	An abstract base class for computing the Schur decomposition of a square matrix.

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

Subclasses of Decomposition in org.flag4j.linalg.decompositions.svd

Modifier and Type	Class	Description
class	ComplexSVD	Instances of this class can be used to compute the singular value decomposition (SVD) of a complex dense matrix.
class	RealSVD	Instances of this class can be used to compute the singular value decomposition (SVD) of a real dense matrix.
class	SVD<T extends MatrixMixin<T,?,?,?>>	This abstract class specifies methods for computing the singular value decomposition (SVD) of a matrix.

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

Subclasses of Decomposition in org.flag4j.linalg.decompositions.unitary

Modifier and Type	Class	Description
class	ComplexUnitaryDecomposition	The base class for complex matrix decompositions which proceed by using unitary transformations (specifically Householder reflectors) to bring a matrix into an upper triangular/Hessenburg matrix.
class	RealUnitaryDecomposition	The base class for real matrix decompositions which proceed by using orthogonal transformations (specifically Householder reflectors) to bring a matrix into an upper triangular/Hessenburg matrix.
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).