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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Displaying similar documents to “Factorizations of matrices and functions of two variables”
A basic decomposition result related to the notion of the rank of a matrix and applications.
Linear maps preserving rank 2 on the space of alternate matrices and their applications.
Cao, Chongguang, Tang, Xiaomin (2004)
International Journal of Mathematics and Mathematical Sciences
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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.
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.
The maximal and minimal ranks of with applications.
Tian, Yongge, Cheng, Shizhen (2003)
The New York Journal of Mathematics [electronic only]
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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.