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 “Possible numbers ofx’s in an {x,y}-matrix with a given rank”
A basic decomposition result related to the notion of the rank of a matrix and applications.
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.
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.
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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From geometry to invertibility preservers
Hans Havlicek, Peter Šemrl (2006)
Studia Mathematica
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We characterize bijections on matrix spaces (operator algebras) preserving full rank (invertibility) of differences of matrix (operator) pairs in both directions.
A note to the approximation of one matrix by a matrix of another rank
Jiří Seitz (1966)
Časopis pro pěstování matematiky
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On the General Problem of Adjustment of Measured Values
Lubomír Kubáček (1969)
Matematický časopis
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On solutions to the quaternion matrix equation .
Wang, Qing-Wen, Zhang, Hua-Sheng, Yu, Shao-Wen (2008)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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