Rectangular eigenvalue problems
| المؤلف | Hashemi, Behnam |
| المؤلف | Nakatsukasa, Yuji |
| المؤلف | Trefethen, Lloyd N. |
| تاريخ الإتاحة | 2022-12-27T05:43:23Z |
| تاريخ النشر | 2022-12-01 |
| اسم المنشور | Advances in Computational Mathematics |
| المعرّف | http://dx.doi.org/10.1007/s10444-022-09994-8 |
| الاقتباس | 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 |
| الرقم المعياري الدولي للكتاب | 10197168 |
| الملخص | 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. |
| اللغة | en |
| الناشر | Springer |
| الموضوع | Eigenvalue problems Fourier extension Helmholtz equation Lightning solver Method of fundamental solutions Quasimatrix Spectral methods Vandermonde with Arnoldi |
| النوع | Article |
| رقم العدد | 6 |
| رقم المجلد | 48 |
| ESSN | 1572-9044 |
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