The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
The Quadratic Eigenvalue Problem
Abstract
We survey the quadratic eigenvalue problem, treating its many applications, its mathematical properties, and a variety of numerical solution techniques. Emphasis is given to exploiting both the structure of the matrices in the problem (dense, sparse, real, complex, Hermitian, skew-Hermitian) and the spectral properties of the problem. We classify numerical methods and catalogue available software.
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Golub, G. (2012) · doi:10.56021/9781421407944 · Cited by 34,505
Numerical Methods for Large Eigenvalue Problems: Revised Edition
Saad, Y. (2011) · doi:10.1137/1.9781611970739 · Cited by 2,364
Cited by
SOAR: A Second-order Arnoldi Method for the Solution of the Quadratic Eigenvalue Problem
Bai, Z., & Su, Y. (2005) · SIAM Journal on Matrix Analysis and Applications · doi:10.1137/s0895479803438523 · Cited by 262
Phonon-mediated quantum spin simulator employing a planar ionic crystal in a Penning trap
Wang, C.-C. J., Keith, A. C., & Freericks, J. K. (2013) · Physical Review A · doi:10.1103/physreva.87.013422 · Cited by 36
Metadata
- Authors
- Tisseur, F., & Meerbergen, K.
- Venue
- SIAM Review
- Published
- 2001-01
- Volume
- 43
- Issue
- 2
- Pages
- 235-286
- ISSN
- 0036-1445 (ISSN-L)
- 1095-7200
- OpenAlex
- W1970606629
- Cited by
- 1,402
- References
- 2
- FWCI
- 28.58
- Type
- journal article
- Language
- en
- Open access
- closed
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- Tisseur, F., & Meerbergen, K. (2001). The Quadratic Eigenvalue Problem. SIAM Review. https://doi.org/10.1137/s0036144500381988
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