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- W2509964958 abstract "As an improvement of the combinatorial realization of totally positive matrices via the essential positive weightings of certain planar network by S.Fomin and A.Zelevisky cite{[4]}, in this paper, we give the test method of positive definite matrices via the planar networks and the so-called cluster subalgebra respectively, introduced here originally. This work firstly gives a combinatorial realization of all matrices through planar network, and then sets up a test method for positive definite matrices by $LDU$-decompositions and the horizontal weightings of all lines in their planar networks. On the other hand, mainly the relationship is built between positive definite matrices and cluster subalgebras." @default.
- W2509964958 created "2016-09-16" @default.
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- W2509964958 date "2014-06-26" @default.
- W2509964958 modified "2023-09-27" @default.
- W2509964958 title "Positive definite matrices in the view-points of planar networks and cluster subalgebras" @default.
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- W2509964958 hasPublicationYear "2014" @default.
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