On the star partial ordering of normal matrices.
Merikoski, Jorma K., Liu, Xiaoji (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Merikoski, Jorma K., Liu, Xiaoji (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Zhan, Shilin (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Gasper, Ortwin, Pfoertner, Hugo, Sigg, Markus (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Zhour, Zeyad Al, Kilicman, Adem (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Zeng, Renying (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Zhan, Shilin (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Thomas Ernst (2015)
Special Matrices
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In this second article on q-Pascal matrices, we show how the previous factorizations by the summation matrices and the so-called q-unit matrices extend in a natural way to produce q-analogues of Pascal matrices of two variables by Z. Zhang and M. Liu as follows [...] We also find two different matrix products for [...]
M. Rajesh Kannan, K.C. Sivakumar (2014)
Discussiones Mathematicae - General Algebra and Applications
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Let A and B be M-matrices satisfying A ≤ B and J = [A,B] be the set of all matrices C such that A ≤ C ≤ B, where the order is component wise. It is rather well known that if A is an M-matrix and B is an invertible M-matrix and A ≤ B, then aA + bB is an invertible M-matrix for all a,b > 0. In this article, we present an elementary proof of a stronger version of this result and study corresponding results for certain other classes as well.
Miroslav Fiedler, Vlastimil Pták (1962)
Czechoslovak Mathematical Journal
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