华东师范大学学报（自然科学版）Issue(1)：97-99,3.DOI:10.3969/j.issn.1000-5641.2012.01.012
正交投影矩阵的一个性质
Property of an orthogonal projection matrix
摘要
Abstract
In this paper we showed that for an orthogonal projection matrix with rank k, there exists an principal submatrix with order k of the matrix, such that its Rayleigh quotient has a positive lower bound. The proof was made by using the relation of the singular values, eigenvalues and norm of matrices, as well as the properties of unitary matrix and compound matrix.关键词
正交投影矩阵/奇异值/ 酉矩阵/ 复合矩阵Key words
orthogonal projection matrix/singular value/unitary matrix/compound matrix分类
数理科学引用本文复制引用
杜琨,顾桂定..正交投影矩阵的一个性质[J].华东师范大学学报（自然科学版）,2012,(1):97-99,3.基金项目
上海财经大学"211工程"三期重点学科建设项目 （）
上海财经大学研究生科研创新基金项目(XJJ-2011-395) （XJJ-2011-395）
