Rank of matrices and the Pexider equation.
Kalinowski, Józef (2006)
Beiträge zur Algebra und Geometrie
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Kalinowski, Józef (2006)
Beiträge zur Algebra und Geometrie
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Tian, Y. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Bazajkin, Ya.V. (2000)
Siberian Mathematical Journal
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Miroslav Fiedler, Frank J. Hall (2014)
Special Matrices
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In this paper, a new characterization of previously studied generalized complementary basic matrices is obtained. It is in terms of ranks and structure ranks of submatrices defined by certain diagonal positions. The results concern both the irreducible and general cases
Dumnicki, Marcin (2008)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Krzysztof Moszyński (1995)
Applicationes Mathematicae
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Karol Pąk (2008)
Formalized Mathematics
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The paper is concerned with a generalization of concepts introduced in [13], i.e. introduced are matrices of linear transformations over a finitedimensional vector space. Introduced are linear transformations over a finitedimensional vector space depending on a given matrix of the transformation. Finally, I prove that the rank of linear transformations over a finite-dimensional vector space is the same as the rank of the matrix of that transformation.
Coffman, Adam (2002)
Beiträge zur Algebra und Geometrie
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Timoshenko, E.I., Shevelin, M.A. (2008)
Sibirskij Matematicheskij Zhurnal
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Vetter, Udo (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Minghua Lin, Harald K. Wimmer (2014)
Special Matrices
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Companion matrices of the second type are characterized by properties that involve bilinear maps.
Dukes, W.M.B. (2004)
Séminaire Lotharingien de Combinatoire [electronic only]
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