Solutions to a quadratic inverse eigenvalue problem | |
Cai, Yun-Feng ; Kuo, Yuen-Cheng ; Lin, Wen-Wei ; Xu, Shu-Fang | |
2009 | |
英文摘要 | In this paper, we consider the quadratic inverse eigenvalue problem (QIEP) of constructing real symmetric matrices M, C, and K of size n ?? n, with (M, C, K) ?? 0, so that the quadratic matrix polynomial Q (??) = ??2 M + ?? C + K has m(n *, and has only solutions with (Q (??)) ?? 0 otherwise, where m* = n + (1 + sqrt(1 + 8 n)) / 2. We also derive the expression of the general solution of the QIEP for both cases. Furthermore, we develop an algorithm for finding a particular solution to the QIEP with M positive definite if it exists. ? 2008 Elsevier Inc. All rights reserved.; EI; 5-6; 1590-1606; 430 |
语种 | 英语 |
出处 | EI |
出版者 | Linear Algebra and Its Applications |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/460936] ![]() |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Cai, Yun-Feng,Kuo, Yuen-Cheng,Lin, Wen-Wei,et al. Solutions to a quadratic inverse eigenvalue problem. 2009-01-01. |
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