# Eigenvectors

### Some articles on eigenvector, eigenvectors:

Eigendecomposition Of A Matrix - Eigendecomposition of A Matrix
... Q is the square (N×N) matrix whose ith column is the eigenvector of A and Λ is the diagonal matrix whose diagonal elements are the corresponding eigenvalues, i.e ... The eigenvectors are usually normalized, but they need not be ... A non-normalized set of eigenvectors, can also be used as the columns of Q ...
Modal Matrix
... process involving eigenvalues and eigenvectors ... Specifically the modal matrix M is the n×n matrix formed with the eigenvectors of A as columns in M ... appear left→right top→bottom in the same order as its eigenvectors are arranged left→right into M) ...
Time-evolving Block Decimation - The Update of The Decomposition - Two-qubit Gates Acting On Qubits k, K+1
... as belonging to only four subsystems The subspace J is spanned by the eigenvectors of the reduced density matrix In a similar way, the subspace K is spanned by the eigenvectors of the ... decomposition, the new 's at the bond k and their corresponding Schmidt eigenvectors must be computed and expressed in terms of the 's of the decomposition D ... Expressing the eigenvectors of the diagonalized matrix in the basis the 's are obtained as well From the left-hand eigenvectors, after expressing them in the basis, the 's are ...
Phase Plane Method - Example of A Linear System - Solving Using Eigenvalues
... in matrix form using eigenvalues λ, given by the determinant and eigenvectors The eigenvalues represent the powers of the exponential components and the ... Due to the nonuniqueness of eigenvectors, every solution arrived at in this way has undetermined constants c1, c2.. ... and (k1, k2), (k3, k4) are the basic eigenvectors ...
Compact Operator On Hilbert Space - Compact Self Adjoint Operator - Spectral Theorem
... space H, there exists an orthonormal basis of H consisting of eigenvectors of T ... of T admits, either a finite orthonormal basis of eigenvectors of T, or a countably infinite orthonormal basis {en} of eigenvectors of T, with corresponding eigenvalues ... basis {fn} for H, consisting of eigenvectors of T with real eigenvalues {μn} such that μn → 0 ...