Package com.numericalmethod.suanshu.matrix.doubles.factorization.eigen

Interface Summary

EigenDecomposition	Let A be a square (N×N) matrix with N linearly independent eigenvectors.
Hessenberg.DeflationCriterion	User implements this class to decide whether to split an upper Hessenberg into multiple smaller upper Hessenberg when the sub-diagonal entries are sufficiently small.

Class Summary

CharacteristicPolynomial	The characteristic polynomial of a square matrix is the function p(λ) = det (A - λI) The zeros of this polynomial are the eigenvalues of A.
Eigen	This class implements the eigenvalue decomposition of a matrix.
Eigen.Property	Property contains the eigen information about a particular eigen value, such as its multiplicity and the associated eigen vectors.
Hessenberg	This class implements the operations for an upper Hessenberg matrix.
Hessenberg.DefaultDeflationCriterion	Users can override the default implementation to define their 0 threshold.
Hessenberg.Deflation	This class encapsulates the indices for the upper left hand corner, and lower right hand corner of H22.
HessenbergDecomposition	Given a square matrix A, we find Q such that Q' %*% A %*% Q = H where H is a Hessenberg matrix.
QRAlgorithm	The QR algorithm is an eigenvalue algorithm that computes the real Schur canonical form of a matrix.

Enum Summary

Eigen.Method

the methods available to compute eigenvalue and eigenvectors