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Can I read Block second-order Krylov subspace methods for large-scale quadratic eigenvalue problems on EtoBox?
Block second-order Krylov subspace methods for large-scale quadratic eigenvalue problems by Yiqin Lin; Liang Bao is a Mathematics article available to read on EtoBox.
What is Block second-order Krylov subspace methods for large-scale quadratic eigenvalue problems about?
In this paper, we first introduce a block second-order Krylov subspace G m 1 ðA; B; Q 1 Þ based on a pair of square matrices A and B and an orthonormal matrix Q 1 . Then we present a block second-order Arnoldi procedure for generating an orthonormal basis of G m 1 ðA; B; Q 1 Þ and a block second-order biorthogonalization procedure for generating biorthonormal basis of G m 1 ðA; B; Q 1 Þ and G m 1 ðA T ; B T ; P 1 Þ. By applying the projection techniques, we derive two block second-order Krylov subspace methods for solving a large-scale quadratic eigenvalue problem (QEP). These methods are applied to the QEP directly. Hence they preserve essential structures and properties of the QEP. Some theoretical results are given. Numerical experiments report the effectiveness of these methods.
Who reads Block second-order Krylov subspace methods for large-scale quadratic eigenvalue problems?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Yiqin Lin; Liang Bao
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0096-3003)
- Published
- 2006
- Language
- EN
- Field
- Mathematics (Physical Sciences)