Rectangular eigenvalue problems
Author | Hashemi, Behnam |
Author | Nakatsukasa, Yuji |
Author | Trefethen, Lloyd N. |
Available date | 2022-12-27T05:43:23Z |
Publication Date | 2022-12-01 |
Publication Name | Advances in Computational Mathematics |
Identifier | http://dx.doi.org/10.1007/s10444-022-09994-8 |
Citation | Hashemi, B., Nakatsukasa, Y. & Trefethen, L.N. Rectangular eigenvalue problems. Adv Comput Math 48, 80 (2022). https://doi.org/10.1007/s10444-022-09994-8 |
ISSN | 10197168 |
Abstract | Often the easiest way to discretize an ordinary or partial differential equation is by a rectangular numerical method, in which n basis functions are sampled at m ≫ n collocation points. We show how eigenvalue problems can be solved in this setting by QR reduction to square matrix generalized eigenvalue problems. The method applies equally in the limit “m= ∞” of eigenvalue problems for quasimatrices. Numerical examples are presented as well as pointers to related literature. |
Language | en |
Publisher | Springer |
Subject | Eigenvalue problems Fourier extension Helmholtz equation Lightning solver Method of fundamental solutions Quasimatrix Spectral methods Vandermonde with Arnoldi |
Type | Article |
Issue Number | 6 |
Volume Number | 48 |
ESSN | 1572-9044 |
Files in this item
This item appears in the following Collection(s)
-
Mathematics, Statistics & Physics [726 items ]