The rank conditions of the invertibility of linear combination of two Hermitian idempotent matrices

机译：两种隐士IDEMPOTEN矩阵线性组合可逆性的等级条件

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摘要

Let A,B be Hermitian idempotent matrices and c1,c2 be nonzero complex numbers. The rank conditions of the invertibility of linear combination of c1A + c2B are given.

机译：让A，B是麦克尔米亚人IDEMPotent矩阵和C1，C2是非零复杂数字。给出了C1A + C2B的线性组合可逆性的等级条件。

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《International workshop on matrix analysis and applications》|2009年||共4页
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中图分类数学;
关键词
rank; Hermitian idempotent; invertibility;

机译：等级;亨密尼亚幂幂;可逆性;

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1. Expressions of the Group Inverse of the Linear Combinations of k-Idempotent Matrices and the Moore-Penrose Generalized Inverse of the Linear Combinations of the Hypergeneralized Idempotent Matrices [J] . LIU Xiaoji, ZHANG Miao, BENíTEZ Julio Chinese journal of contemporary mathematics . 2014,第3期

机译：k幂等矩阵的线性组合的组逆和超广义幂等矩阵的线性组合的Moore-Penrose广义逆的表达
2. The nullity and rank of linear combinations of idempotent matrices [J] . Koliha JJ, Rakocevic V Linear Algebra and its Applications . 2006,第1期

机译：幂等矩阵的线性组合的无效性和秩
3. SOLVING SYSTEMS OF LINEAR EQUATIONS WHOSE COEFFICIENT MATRICES ARE LOW RANK PERTURBATIONS OF HERMITIAN MATRICES [J] . M. Dana, Kh.D. Ikramov Moscow University Computational Mathematics and Cybernetics . 2005,第4期

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4. The rank conditions of the invertibility of linear combination of two Hermitian idempotent matrices [C] . Feng Wang, Jiemei Zhao, Kuize Zhang The Third International Workshop on Applied Matrix Theory（第三届国际矩阵分析与应用会议）论文集 . 2009

机译：两个厄米幂等幂矩阵线性组合的可逆性的秩条件
5. A rank-revealing method for low rank matrices with updating, downdating, and applications. [D] . Lee, Tsung-Lin. 2007

机译：具有更新，降级和应用程序的低秩矩阵的秩公开方法。
6. On the Open Problem Related to Rank Equalities for the Sum of Finitely Many Idempotent Matrices and Its Applications [O] . Mei-xiang Chen, Qing-hua Chen, Qiao-xin Li, -1

机译：有限个幂等矩阵之和与秩均等有关的开放问题及其应用
7. The nullity and rank of linear combinations of idempotent matrices [O] . Koliha, JJ, Rakocevic, V 2006

机译：幂等矩阵的线性组合的无效性和秩
8. Extremal Properties of Hermitian Matrices II(and) Linear Transformations on Algebras of Matrices [R] . Marvin Marcus, B. N. Moyls 1958

机译：Hermitian矩阵的极值性质II（和）矩阵代数上的线性变换

The rank conditions of the invertibility of linear combination of two Hermitian idempotent matrices

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