Results 11 to 20 of about 10,270 (229)
On the Total Positivity and Accurate Computations of r-Bell Polynomial Bases
Axioms, 2023 A new class of matrices defined in terms of r-Stirling numbers is introduced. These r-Stirling matrices are totally positive and determine the linear transformation between monomial and r-Bell polynomial bases.
Esmeralda Mainar +2 more
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Entropy, 2023 The geometric first-order integer-valued autoregressive process (GINAR(1)) can be particularly useful to model relevant discrete-valued time series, namely in statistical process control.
Manuel Cabral Morais
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Arrangements of equal minors in the positive Grassmannian [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We discuss arrangements of equal minors in totally positive matrices. More precisely, we would like to investigate the structure of possible equalities and inequalities between the minors.
Miriam Farber, Alexander Postnikov
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International Journal of Food Properties, 2022 Several scientific researchers have focused on biological activities of edible plants such as radish. However, there are no researches on the anticancer effect of this plant in human glioblastoma.
Nadhem Aissani, Hichem Sebai
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Matrices totally positive relative to a tree [PDF]
The Electronic Journal of Linear Algebra, 2009 It is known that for a totally positive (TP) matrix, the eigenvalues are positive and distinct and the eigenvector associated with the smallest eigenvalue is totally nonzero and has an alternating sign pattern. Here, a certain weakening of the TP hypothesis is shown to yield a similar conclusion.
Jhondon, Charles R. +2 more
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Totally positive matrices and totally positive hypergraphs
Linear Algebra and its Applications, 2001 This paper characterizes (0,1)-matrices which are totally positive, that is, all their minors are totally positive. First the case of \(1\times 1\) and \(2\times 2\) minors is characterized in terms of interval hypergraphs and then the general case is characterized in terms of a chain of cliques \(C_i\), \(C_i\cap C_j = \emptyset \Leftrightarrow |i-j ...
Kubicki, Grzegorz +2 more
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On Total Positivity of Catalan-Stieltjes Matrices
The Electronic Journal of Combinatorics, 2016 Recently Chen-Liang-Wang (Linear Algerbra Appl. 471 (2015) 383—393) proved some sufficient conditions for the total positivity of Catalan-Stieltjes matrices. Our aim is to provide a combinatorial interpretation of their sufficiant conditions. More precisely, for any Catalan-Stieltjes matrix $A$ we construct a digraph with a weight, which is positive ...
Pan, Qiongqiong, Zeng, Jiang
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Tropical totally positive matrices [PDF]
Journal of Algebra, 2018 The first author has been partially supported by the PGMO Program of FMJH and EDF, and by the MALTHY Project of the ANR Program.
Gaubert, Stéphane, Niv, Adi
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Line Insertions in Totally Positive Matrices
Journal of Approximation Theory, 2000 It is obvious that between any two rows (columns) of an \(m\)-by-\(n\) totally nonnegative matrix a new row (column) may be inserted to form an \((m+ 1)\)-by-\(n\) \((m\)-by-\((n+1))\) totally nonnegative matrix. The analogous question, in which ``totally negative'' is replaced by ``totally positive'' arises, for example, in completion problems and in ...
Johnson, Charles R., Smith, Ronald L.
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Equal entries in totally positive matrices
Linear Algebra and its Applications, 2014 15 ...
Farber, Miriam +3 more
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