The Adjacency Matrix and the Discrete Laplacian Acting on Forms
نویسندگان
چکیده
منابع مشابه
Laplacian and the Adjacency Matrices
Proof. We first recall that every non-singular matrix B can be written B = QR, where Q is an orthonormal matrix Q and R is upper-triangular matrix R with positive diagonals1 We will use a slight variation of this fact, writing B = RQ. Now, since QT = Q−1, QAQT has exactly the same eigenvalues as A. Let Rt be the matrix t ∗R+ (1− t)I, and consider the family of matrices Mt = RtQAQR t , as t goes...
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ژورنال
عنوان ژورنال: Mathematical Physics, Analysis and Geometry
سال: 2019
ISSN: 1385-0172,1572-9656
DOI: 10.1007/s11040-019-9301-0