A regularity condition for a class of partitioned matrices
A. M. Ostrowski (1962-1964)
Compositio Mathematica
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A regularity condition for a class of partitioned matrices
On the partial ordering of almost definite matrices
Ar. Meenakshi (1989)
Czechoslovak Mathematical Journal
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Remarks on the rows and columns of in the matrix equation
Darald J. Hartfiel, Patricia L. Smith (1979)
Czechoslovak Mathematical Journal
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Similarity transformation of matrices to one common canonical form and its applications to 2D linear systems
Tadeusz Kaczorek (2010)
International Journal of Applied Mathematics and Computer Science
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The notion of a common canonical form for a sequence of square matrices is introduced. Necessary and sufficient conditions for the existence of a similarity transformation reducing the sequence of matrices to the common canonical form are established. It is shown that (i) using a suitable state vector linear transformation it is possible to decompose a linear 2D system into two linear 2D subsystems such that the dynamics of the second subsystem are independent of those of the first one,...