Uses of Class
org.flag4j.linalg.decompositions.unitary.UnitaryDecomposition

Packages that use UnitaryDecomposition

Package	Description
org.flag4j.linalg.decompositions.hess	Provides implementations of the Hessenberg decomposition for real and complex 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.unitary	Provides abstract classes useful for implementing real or complex matrix decompositions which proceed by unitary transformations.
org.flag4j.linalg.solvers.lstsq	Solvers for under-, well-, or over-determined linear systems in a least-squares sense.

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

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

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

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

Modifier and Type	Field	Description
protected UnitaryDecomposition<T,U>	Schur.hess	Decomposer to compute the Hessenburg decomposition as a setup step for the implicit double step QR algorithm.

Constructors in org.flag4j.linalg.decompositions.schur with parameters of type UnitaryDecomposition

Modifier	Constructor	Description
protected	Schur(boolean computeU, RandomComplex rng, UnitaryDecomposition<T,U> hess, Balancer<T> balancer)	Creates a decomposer to compute the Schur decomposition for a real dense matrix.

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

Subclasses of UnitaryDecomposition 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.

Methods in org.flag4j.linalg.decompositions.unitary that return UnitaryDecomposition

Modifier and Type	Method	Description
UnitaryDecomposition<T,U>	UnitaryDecomposition.decompose(T src)	Applies the unitary decomposition to the matrix.
UnitaryDecomposition<T,U>	UnitaryDecomposition.decompose(T src, int iLow, int iHigh)	Applies the unitary decomposition to the matrix.

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

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

Modifier and Type	Field	Description
protected final UnitaryDecomposition<T,?>	LstsqSolver.qr	Decomposer to compute the QR decomposition for using the least-squares solver.

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

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.