Ranked solutions of the matric equation .
Porter, A.Duane, Mousouris, Nick (1980)
International Journal of Mathematics and Mathematical Sciences
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Porter, A.Duane, Mousouris, Nick (1980)
International Journal of Mathematics and Mathematical Sciences
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Barry, Paul (2011)
Journal of Integer Sequences [electronic only]
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Nobuyuki Tamura, Yatsuka Nakamura (2007)
Formalized Mathematics
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In this paper the classic theory of matrices of real elements (see e.g. [12], [13]) is developed. We prove selected equations that have been proved previously for matrices of field elements. Similarly, we introduce in this special context the determinant of a matrix, the identity and zero matrices, and the inverse matrix. The new concept discussed in the case of matrices of real numbers is the property of matrices as operators acting on finite sequences of real numbers from both sides....
Aval, Jean-Christophe, Duchon, Philippe (2010)
The Electronic Journal of Combinatorics [electronic only]
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Cornelius, E.F.jun. (2009)
International Journal of Mathematics and Mathematical Sciences
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Moens, E.M., Van der Jeugt, J. (2004)
Journal of Lie Theory
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Václav Polák (1967)
Archivum Mathematicum
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Xiao-Dong Zhang, Chang-Xing Ding (2009)
Czechoslovak Mathematical Journal
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In this paper, necessary and sufficient conditions for equality in the inequalities of Oppenheim and Schur for positive semidefinite matrices are investigated.