一类特殊结构对称矩阵三元组(M、C、K)的逆二次特征问题
On the Quadratic Inverse Eigen-Problem for the Special Triple (M, C, K) of Symmetric Matrix
DOI: 10.12677/AAM.2012.11003, PDF, HTML,  被引量 下载: 3,860  浏览: 11,654  科研立项经费支持
作者: 黄贤通*, 严深海：赣南师范学院数学与计算机科学学院，赣州
关键词: 二次特征问题；逆二次特征问题；逆二次特征对问题；Quadratic Eigenvalue Problem; Quadratic Inverse Eigen-Problem;Quadratic Inverse Eigenpairs Problem
摘要: 应用广义逆矩阵理论和线性代数基本理论研究了一类特殊结构对称矩阵三元组(M、C、K)的逆二次特征值问题和逆二次特征对问题，给出了解的存在性和解的表达式，数值算例说明了算法的有效性。
Abstract: The quadratic inverse eigen-problem was studied for the special triple (M, C, K) of symmetric matrix. The existence and expression of the solution was given by the generation inverse matrix and linear algebra theorem. The numerical experiment shows that the algorithm is effective.
文章引用：黄贤通, 严深海. 一类特殊结构对称矩阵三元组(M、C、K)的逆二次特征问题[J]. 应用数学进展, 2012, 1(1): 18-27. http://dx.doi.org/10.12677/AAM.2012.11003

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