化简后得[ 1 1 1 ][ 0 0 0 ] x = 0 [ 0 0 0 ][x1] [ -x2 - x3 ] [ -1 ] [ -1 ][x2] = [ x2 ] = x2 [ 1 ] + x3 [ 0 ][x3] [ x3 ] [ 0 ] [ 1 ][-1 ] [-1 ]所以 [ 1 ] [ 0 ] 为对应特征空间...
Corresponding orthonormal basis are constructed and the corresponding reproducing kernel can be expressed in terms of the generalized theta function of characteristic [α, 0]. In particular, the Hilbert subspace of entire (L2,Z,χ)-theta functions coincides with the null space (the L2-eigenspace ...
⟨a|Ab⟩=⟨Aa|b⟩⟨a|Ab⟩=⟨Aa|b⟩ Eigenspace of a Hermitian operator It's possible to prove that a Hermitian operator has eigenvectors that form an orthogonal vector base, associated with real eigenvalues A|n⟩=λn|n⟩A|n⟩=λn|n⟩. Than you can normalize eigenvec...
Find a Basis of the Eigenspace Corresponding to a Given Eigenvalue Problem 476 Let A=⎡⎣⎢1−1224−4110⎤⎦⎥.A=[121−1412−40]. The matrix AA has an eigenvalue 22. Find a basis of the eigenspace E2E2 corresponding to the eigenvalue 22. (The Ohio State University, ...
The exact relationship between the resolution of the eigenfunctions and the errors in the argument of the corresponding eigenvalues is unknown. This does, however, point to a possible explanation for the ill-conditioning of the eigenspace of the differentiation matrix. Poor resolution of globally ...