四川师范大学学报（自然科学版）2012，Vol.35Issue(6)：734-737,4.DOI:10.3969/j.issn.1001-8395.2012.06.004
广义投影矩阵线性组合的研究
Some Results on the Linear Combinations of Generalized Projectors
摘要
Abstract
Investigation of linear combinations of projector matrices and hypergeneralized projector matrices is an important topic in the matrix theory. It is widly applied to statistics, computing, optimization, control and other disciplines. Let A and B be nxn nonzero complex matrices, P a linear combination of A and B, so that P = ctA + c2A, where c+ ,c2 are nonzero complex numbers. In this paper, under the condition AB =BA, the sufficient and necessary conditions are given for P to be idempotent, tripotency, generalized projector and hypergeneralized projector, where A is a generalized projector and B an arbitrary matrix.关键词
广义投影/超广义投影/线性组合Key words
generalized projector/ hypergeneralized projector/ linear combination分类
数理科学引用本文复制引用
武玲玲,刘晓冀..广义投影矩阵线性组合的研究[J].四川师范大学学报（自然科学版）,2012,35(6):734-737,4.基金项目
国家自然科学基金(11061005)、教育部科技重点项目基金(210164)和贵州省科学技术基金(2012GZ10526)资助项目 （11061005）
