On the Spectral Gap of a Square Distance Matrix

Document Type

Article

Publication Date

2-1-2017

Abstract

We consider a square distance matrix which arises from a preconditioned Jacobian matrix for the numerical computation of the Cahn–Hilliard problem. We prove strict negativity of all but one associated eigenvalues. This solves a conjecture in Christieb et al. (J Comput Phys 257:193–215, 2014).

Identifier

85003828564 (Scopus)

Publication Title

Journal of Statistical Physics

External Full Text Location

https://doi.org/10.1007/s10955-016-1685-7

e-ISSN

15729613

ISSN

00224715

First Page

1029

Last Page

1035

Issue

3-4

Volume

166

Grant

359610

Fund Ref

Natural Sciences and Engineering Research Council of Canada

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