A new equivalent condition of the reverse order law for -inverses of multiple matrix products.

Zheng, Bing; Xiong, Zhiping

Displaying similar documents to “A new equivalent condition of the reverse order law for $G$ -inverses of multiple matrix products.”

Remarks on the Sherman-Morrison-Woodbury formulae

Miroslav Fiedler (2003)

Mathematica Bohemica

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We present some results on generalized inverses and their application to generalizations of the Sherman-Morrison-Woodbury-type formulae.

Possible numbers ofx’s in an {x,y}-matrix with a given rank

Chao Ma (2017)

Open Mathematics

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Let x, y be two distinct real numbers. An {x, y}-matrix is a matrix whose entries are either x or y. We determine the possible numbers of x’s in an {x, y}-matrix with a given rank. Our proof is constructive.

On solutions to the quaternion matrix equation $A X B + C Y D = E$ .

Wang, Qing-Wen, Zhang, Hua-Sheng, Yu, Shao-Wen (2008)

ELA. The Electronic Journal of Linear Algebra [electronic only]

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The maximal and minimal ranks of $A - B X C$ with applications.

Tian, Yongge, Cheng, Shizhen (2003)

The New York Journal of Mathematics [electronic only]

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A basic decomposition result related to the notion of the rank of a matrix and applications.

Mortici, Cristinel (2003)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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On the Yang-Baxter-like matrix equation for rank-two matrices

Duanmei Zhou, Guoliang Chen, Jiu Ding (2017)

Open Mathematics

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Let A = PQT, where P and Q are two n × 2 complex matrices of full column rank such that QTP is singular. We solve the quadratic matrix equation AXA = XAX. Together with a previous paper devoted to the case that QTP is nonsingular, we have completely solved the matrix equation with any given matrix A of rank-two.