کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4636117 1340719 2006 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Block second-order Krylov subspace methods for large-scale quadratic eigenvalue problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Block second-order Krylov subspace methods for large-scale quadratic eigenvalue problems
چکیده انگلیسی
In this paper, we first introduce a block second-order Krylov subspace Gm1(A,B;Q1) based on a pair of square matrices A and B and an orthonormal matrix Q1. Then we present a block second-order Arnoldi procedure for generating an orthonormal basis of Gm1(A,B;Q1) and a block second-order biorthogonalization procedure for generating biorthonormal basis of Gm1(A,B;Q1) and Gm1(AT,BT;P1). 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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 181, Issue 1, 1 October 2006, Pages 413-422
نویسندگان
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