论文标题
dirichlet-neumann括号用于一类带状toeplitz矩阵
Dirichlet-Neumann bracketing for a class of banded Toeplitz matrices
论文作者
论文摘要
我们考虑自我伴侣托管矩阵的边界条件。我们询问是否存在带带的自动辅助toeplitz矩阵的边界条件，这些矩阵满足了dirichlet-neumann括号类型的操作员不平等。对于一类特殊的带状toeplitz矩阵，包括离散laplacian的整数力量，我们发现了这种边界条件。此外，对于此类，我们在最低特征值上方的光谱间隙上给出了一个下限。
We consider boundary conditions of self-adjoint banded Toeplitz matrices. We ask if boundary conditions exist for banded self-adjoint Toeplitz matrices which satisfy operator inequalities of Dirichlet-Neumann bracketing type. For a special class of banded Toeplitz matrices including integer powers of the discrete Laplacian we find such boundary conditions. Moreover, for this class we give a lower bound on the spectral gap above the lowest eigenvalue.
