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.
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Miroslav Fiedler (2003)
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Tian, Yongge, Cheng, Shizhen (2003)
The New York Journal of Mathematics [electronic only]
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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.
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Jiří Seitz (1966)
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Lubomír Kubáček (1969)
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On solutions to the quaternion matrix equation .
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ELA. The Electronic Journal of Linear Algebra [electronic only]
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Kinetical systems—local analysis
Ladislav Adamec (1998)
Applications of Mathematics
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The paper gives the answer to the question of the number and qualitative character of stationary points of an autonomous detailed balanced kinetical system.