Module ojalgo
Package org.ojalgo.matrix.decomposition

Interface Tridiagonal<N extends Comparable<N>>

All Superinterfaces:
MatrixDecomposition<N>, Structure1D, Structure2D
All Known Implementing Classes:
DeferredTridiagonal, DeferredTridiagonal.C128, DeferredTridiagonal.H256, DeferredTridiagonal.Q128, DeferredTridiagonal.R064, DeferredTridiagonal.R128, DenseTridiagonal, SimultaneousTridiagonal
public interface Tridiagonal<N extends Comparable<N>> extends MatrixDecomposition<N>
Tridiagonal: [A] = [Q][D][Q]H Any square symmetric (hermitian) matrix [A] can be factorized by similarity transformations into the form, [A]=[Q][D][Q]-1 where [Q] is an orthogonal (unitary) matrix and [D] is a real symmetric tridiagonal matrix. Note that [D] can/should be made real even when [A] has complex elements. Since [Q] is orthogonal (unitary) [Q]-1 = [Q]H and when it is real [Q]H = [Q]T.