Representation of solutions of general linear differential systems of the second order
Ondřej Došlý (1985)
Czechoslovak Mathematical Journal
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Ondřej Došlý (1985)
Czechoslovak Mathematical Journal
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Ondřej Došlý (1985)
Archivum Mathematicum
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Ivana M. Radojević (2014)
Czechoslovak Mathematical Journal
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In this paper we study -EP matrices, as a generalization of EP-matrices in indefinite inner product spaces, with respect to indefinite matrix product. We give some properties concerning EP and -EP matrices and find connection between them. Also, we present some results for reverse order law for Moore-Penrose inverse in indefinite setting. Finally, we deal with the star partial ordering and improve some results given in the “EP matrices in indefinite inner product spaces” (2012), by...
Seok-Zun Song, Kyung-Tae Kang, Young Bae Jun (2006)
Czechoslovak Mathematical Journal
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The max algebra consists of the nonnegative real numbers equipped with two binary operations, maximization and multiplication. We characterize the invertible linear operators that preserve the set of commuting pairs of matrices over a subalgebra of max algebra.