# Package dev.nm.algebra.linear.matrix.doubles.factorization.eigen.qr

• Interface Summary
Interface Description
DefaultDeflationCriterion.MatrixNorm
Computes the norm of a given matrix.
DeflationCriterion
Determines whether a sub-diagonal entry is sufficiently small to be neglected.
• Class Summary
Class Description
DefaultDeflationCriterion
The default deflation criterion is to use eq.
Deflation
A deflation found in a Hessenberg (or tridiagonal in symmetric case) matrix.
Hessenberg
An upper Hessenberg matrix is a square matrix which has zero entries below the first sub-diagonal.
HessenbergDecomposition
Given a square matrix A, we find Q such that Q' * A * Q = H where H is a Hessenberg matrix.
HessenbergDeflationSearch
Given a Hessenberg matrix, this class searches the largest unreduced Hessenberg sub-matrix.
QRAlgorithm
The QR algorithm is an eigenvalue algorithm by computing the real Schur canonical form of a matrix.
SymmetricQRAlgorithm
The symmetric QR algorithm is an eigenvalue algorithm by computing the real Schur canonical form of a square, symmetric matrix.
TridiagonalDeflationSearch
This class locates deflation in a tridiagonal matrix.