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Characterizations of rectangular totally and strictly totally positive matrices [PDF]
, 2010 An n×m real matrix A is said to be totally positive (strictly totally positive) if every minor is nonnegative (positive). In this paper, we study characterizations of these classes of matrices by minors, by their full rank factorization and by their thin
Ricarte, Beatriz +2 more
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Entropy, 2019 In this paper, we prove the Shannon entropy inequalities for the multivariate distributions via the notion of convex ordering of two multivariate distributions.
Ming-Tien Tsai +2 more
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Inner totally positive matrices [PDF]
, 2004 Suppose A∈Mn is a staircase matrix with row and column staircase sequences ρ={ρ(1),ρ(2),…,ρ(n)}, γ={γ(1),γ(2),…,γ(n)}. A minor A(α;β)=det(A[α|β]) with α={α1…,αk},β={β1,…,βk} is said to be an inner minor of A if αi⩽γ(βi),βi⩽ρ(αi) for i=1,2,…,k.
Gladwell, G.M.L.
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Journal of the Canadian Health Libraries Association, 2014 Introduction – The study of informatics is multidisciplinary in nature. The informatics course, HSC 310: Health Care Informatics (HSC 310), for undergraduate health sciences students at the Massachusetts College of Pharmacy and Health Sciences (MCPHS) is
S. King, H. Murray, K. MacDonald
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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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MATRICES TOTALLY POSITIVE RELATIVE TO A TREE [PDF]
, 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.
Johnson,, Charles R. +8 more
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Applied Water Science, 2017 The assessment of groundwater quality is an obligatory pre-requisite to developing countries like India with rural-based economy. Heavy metal concentration in groundwater from Besant Nagar to Sathankuppam, South Chennai was analyzed to assess the ...
S. G. D. Sridhar +6 more
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The LU-factorization of totally positive matrices [PDF]
, 1973 An n × n real matrix A is an STP (strictly totally positive) matrix if all its minors are strictly positive. An n × n real triangular matrix A is a ΔSTP matrix if all its nontrivial minors are strictly positive. It is proved that A is an STP matrix iff A
Colin W. Cryer, Cryer, Colin W.
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On Factorizations of Totally Positive Matrices [PDF]
, 1996 . Different approaches to the decomposition of a nonsingular totally positive matrix as a product of bidiagonal matrices are studied. Special attention is paid to the interpretation of the factorization in terms of the Neville elimination process of the ...
M. Gasca +3 more
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Seasonal variations in high time-resolved chemical compositions, sources, and evolution of atmospheric submicron aerosols in the megacity Beijing [PDF]
Atmospheric Chemistry and Physics, 2017 A severe regional haze problem in the megacity Beijing and surrounding areas, caused by fast formation and growth of fine particles, has attracted much attention in recent years.
W. Hu +9 more
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